12 GENERAL CHEMISTRY 2 QUARTER 1 LEARNING ACTIVITY SHEET Republic of the Philippines Department of Education COPYRIGHT PAGE Learning Activity Sheet in GENERAL CHEMISTRY 2 (Grade 12) Copyright © 2020 DEPARTMENT OF EDUCATION Regional Office No. 02 (Cagayan Valley) Regional Government Center, Carig Sur, Tuguegarao City, 3500 “No copy of this material shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit.” This material has been developed for the implementation of K to 12 Curriculum through the Curriculum and Learning Management Division (CLMD). It can be reproduced for educational purposes and the source must be acknowledged. Derivatives of the work including creating an edited version, an enhancement of supplementary work are permitted provided all original works are acknowledged and the copyright is attributed. No work may be derived from this material for commercial purposes and profit. Consultants: : ESTELA L. CARIÑO, EdD., CESO IV Regional Director : RHODA T. RAZON, EdD., CESO V Assistant Regional Director : ORLANDO E. MANUEL, PhD, CESO V Schools Division Superintendent Asst. Schools Division Superintendent(s): WILMA C. BUMAGAT, PhD., CESE CHELO C. TANGAN, PhD., CESE Chief Education Supervisor, CLMD : OCTAVIO V. CABASAG, PhD Chief Education Supervisor, CID : ROGELIO H. PASINOS, PhD. Development Team Writers Content Editor Language Editor Illustrators Layout Artists Focal Persons : LESTERWIN UDARBE, FLORIE MAE UNCIANO, DIVINA S. RIBIACO, JACKIE B. UBINA, ANGELIKA TORRES, SHAROLYN T. GALURA, IVON ADDATU, LOVEJOICE AMBABAG, JENIFER LOU ABUZO, CATHERINE PASCUAL, CHERRY JANE BASUG, JENEVIE VINAGRERA : CHRISTOPHER S. MASIRAG- SDO CAGAYAN, ,RITA CORPUZ-SDO CAGAYAN, LEAH DELA CRUZ-SDO SANTIAGO, ROSELLE MENDOZASDO NUEVA VIZCAYA : MARIBEL S. ARELLANO- SDO CAGAYAN : Name, School, SDO : Name, School, SDO : GERRY C. GOZE, PhD., Division Learning Area Supervisor NICKOYE V. BUMANGALAG, PhD. Division LR Supervisor ESTER T. GRAMAJE, Regional Learning Area Supervisor RIZALINO CARONAN, PhD. Regional LR Supervisor Printed by: DepEd Regional Office No. 02 Regional Center, Carig Sur, Tuguegarao City NOTE: Practice personal hygiene protocols at all times i Table of Contents Code Page number STEM_GC11IMFIIIa-c-99 1 - 13 Describe and differentiate the types of intermolecular forces STEM_GC11IMFIIIa-c-100 14 – 29 Describe the following properties of liquids, and explain the effect of intermolecular forces on these properties: surface tension, viscosity, vapor pressure, boiling point, and molar heat of vaporization STEM_GC11IMFIIIa-c-102 30 – 50 Explain the properties of water with its molecular structure and intermolecular forces STEM_GC11IMFIIIa-c-103 51 - 67 Describe the difference in structure of crystalline and amorphous solids STEM_GC11IMFIIIa-c-104 68 – 91 Interpret the phase diagram of water and carbon dioxide STEM_GC11IMFIIIa-c-107 92 – 110 Determine and explain the heating and cooling curve of a substance STEM_GC11IMFIIIa-c-109 111- 119 Use different ways of expressing concentration of solutions: percent by mass, mole fraction, molarity, molality, percent by volume, percent by mass, ppm STEM_GC11PPIIId-f-111 120 – 142 Perform stoichiometric calculations for reactions in solution STEM_GC11PPIIId-f-112 143 – 159 Describe the effect of concentration on the colligative properties of solutions STEM_GC11PPIIId-f-115 160 – 170 Differentiate the colligative properties of nonelectrolyte solutions and of electrolyte solutions STEM_GC11PPIIId-f-116 171 – 187 Calculate boiling point elevation and freezing point depression from the concentration of a solute in a solution STEM_GC11PPIIId-f-117 189- 198 Calculate molar mass from colligative property data STEM_GC11PPIIId-f-118 199 – 209 Competency Use the kinetic molecular model to explain properties of liquids and solids NOTE: Practice personal hygiene protocols at all times ii Describe laboratory procedures in determining concentration of solutions STEM_GC11PPIIId-f-119 210 – 224 Explain the first law of thermodynamics STEM_GC11TCIIIg-i-124 225 – 233 Explain enthalpy of reaction STEM_GC11TCIIIg-i-125 234 – 244 Calculate the change in enthalpy of a given reaction using Hess Law STEM_GC11TCIIIg-i-127 245 – 255 Describe how various factors influence the rate of reaction STEM_GC11CKIIIi-j-130 256 – 268 Differentiate zero, first- , and second-order reactions STEM_GC11CKIIIi-j-132 269 – 293 Explain reactions qualitatively in terms of molecular collisions STEM_GC11CKIIIi-j-136 294 – 313 Explain activation energy and how a catalyst STEM_GC11CKIIIi-j-137 affects the reaction rate 314 – 229 Cite and differentiate the types of catalysts 230 – 249 STEM_GC11CKIIIi-j-138 NOTE: Practice personal hygiene protocols at all times iii GENERAL CHEMISTRY 2 Name: _ Grade Level: Date: Score: __ LEARNING ACTIVITY SHEET THE STRUCTURE OF CRYSTLLINE AND AMORPHOUS SOLIDS Background Information for the Learners (BIL) A solid interface is defined as a small number of atomic layers that separate two solids in intimate contact with one another, where the properties differ significantly from those of the bulk material it separates. Based on their crystal structures, solids can be classified into the following categories: 1. Crystalline solids 2. Amorphous solids However, crystalline solids can be further classified into molecular, ionic, metallic, and covalent solids. An illustration detailing the classification of solids is provided below . Source:https://byjus.com/chemistry/classification-of-solids-based-on-crystal-structure/ 5 NOTE: Practice personal hygiene protocols at all times Crystalline are solids featuring highly ordered arrangements of their particles (atoms, ions, and molecules) in microscopic structures. These ordered microscopic structures make up a crystal lattice that accounts for the structure of the solid at any given point. Examples of crystalline solids include salt (sodium chloride), diamond, and sodium nitrate. Ionic solids, such as sodium chloride and nickel oxide, are composed of positive and negative ions Figure 1. Sodium chloride is an ionic solid. that are held together by electrostatic attractions, which can be quite strong Figure 1. Many ionic crystals also have high melting points. This is due to the very strong attractions between the ions—in ionic compounds, the attractions between full charges are (much) larger than those between the partial charges in polar molecular compounds. This will be looked at in more detail in a later discussion of lattice energies. Although they are hard, they also tend to be brittle, https://opentextbc.ca/chemistry/chapter/10-5- and they shatter rather than bend. Ionic solids do not conduct electricity; however, they do conduct when molten or dissolved because their ions are free to move. Many simple compounds formed by the reaction of a metallic element with a nonmetallic element are ionic. Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms 2. Figure 2. Copper is a metallic solid. The structure of metallic crystals is often described . as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties. All exhibit high thermal and electrical conductivity, metallic luster, and malleability. Many are very hard and quite strong. Because of their malleability (the ability to https://opentextbc.ca/chemistry/chapter/10-5-the- deform under pressure or hammering), they do not shatter and, therefore, make useful construction materials. The melting points of the metals vary widely. Mercury is a liquid at room temperature, and the alkali metals melt 6 NOTE: Practice personal hygiene protocols at all times below 200 °C. Several post-transition metals also have low melting points, whereas the transition metals melt at temperatures above 1000 °C. These differences reflect differences in strengths of metallic bonding among the metals. Covalent network solids include crystals of Figure 3. diamond, silicon, some other nonmetals, and some covalent compounds such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds. The atoms in these solids are held together by a network of covalent bonds, as shown in Figure 3. To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically characterized by hardness, strength, and high melting points. For example, diamond is one of the hardest https://opentextbc.ca/chemistry/chapter/10-5-thesolid- state-of-matter substances known and melts above 3500 °C. A covalent crystal contains a three-dimensional network of covalent bonds, as illustrated by the structures of diamond, silicon dioxide, silicon carbide, and graphite. Graphite is an exceptional example, composed of planar sheets of covalent crystals that are held together in layers by noncovalent forces. Unlike typical covalent solids, graphite is very soft and electrically conductive. 7 NOTE: Practice personal hygiene protocols at all times Molecular solids, such as ice, sucrose (table sugar), and iodine, as shown in Figure 4, are composed of Figure 4. Carbon dioxide. neutral molecules. The strengths of the attractive forces between the units present in different crystals vary widely, as indicated by the melting points of the crystals. Small symmetrical molecules (nonpolar molecules), such as H2, N2, O2, and F2, have weak attractive forces and form molecular solids with very low melting points (below −200 °C). Substances consisting of larger, nonpolar molecules have larger attractive forces and melt at higher temperatures. Molecular solids composed of molecules with permanent dipole moments (polar molecules) melt at https://opentextbc.ca/chemistry/chapter/10-5-the-solid- still higher temperatures. Examples include ice (melting point, 0 °C) and table sugar (melting point, 185 °C). Figure 4. Carbon dioxide (CO2) consists of small, nonpolar molecules and forms a molecular solid with a melting point of −78 °C. Iodine (I2) consists of larger, nonpolar molecules and forms a molecular solid that melts at 114 °C. Type of Solid Type of Types of Particles Attractions Properties hard, Examples brittle, conducts electricity as a ionic Ions ionic bonds liquid but not NaCl, Al2O3 as a solid, high to very high melting points shiny, atoms metallic of electropositive malleable, metallic bonds ductile, elements conducts heat Cu, Fe, Ti, Pb, U and electricity 8 NOTE: Practice personal hygiene protocols at all times well, variable hardness and melting temperature covalent atoms of covalent network electronegative bonds elements very hard, not C (diamond), conductive, SiO2, SiC very high melting points molecular molecules (or MFs atoms) variable H2O, CO2, I2, hardness, C12H22O11 variable brittleness, not conductive, low melting points https://opentextbc.ca/chemistry/chapter/10-5-the-solid-state-of-matter Amorphous are solids in which the particles are not arranged in any specific order or the solids that lack the overall order of a crystal lattice. The term ‘amorphous’, when broken down into its Greek roots, can be roughly translated to “without form”. Many polymers are amorphous solids. Other examples of such solids include glass, gels, and nanostructured materials. An ideal crystal is defined as an atomic arrangement that has infinite translational symmetry in all the three dimensions, whereas such a definite definition is not possible for an ideal amorphous solid (a-solid). Features of Crystalline and Amorphous Solids CRYSTALLINE NATURE AMORPHOUS Pseudo – Solids or super- True Solids. cooled liquids. Geometry Particles are arranged in a Particles are arranged repeating pattern. They randomly. They do not have a regular and have an ordered 9 NOTE: Practice personal hygiene protocols at all times ordered arrangement result arrangement resulting in irregular shapes. ing in a definite shape. Melting They have a sharp melting point. They do not have sharp melting points. The tends to solid soften gradually over a temperature range. Heat of Fusion (The change in enthalpy when They have definite heat of fusion. They do not have definite a substance is heated to heat of fusion. change its state from solid to liquid.) Isotropism Anisotropic in nature. i.e., Isotropic in nature. the magnitude of physical i.e., the magnitude properties of (such as the physical refractive index, electrical properties conductivity, same along with all conductivity different thermal etc) along is directions with is of the the solid. different directions of the crystal. Cleavage When cutting with a sharp When cutting with a edge, the two new halves sharp edge, the two will have smooth surfaces. resulting halves will have irregular surfaces. Rigidity They are rigid solids and They are not rigid, so mild applying mild forces will effects may change the not distort its shape. shape. https://byjus.com/chemistry/classification-of-solids-based-on-crystal-structure 10 NOTE: Practice personal hygiene protocols at all times Learning Competency: Describe the difference in structure of crystalline and amorphous solids. (STEM_GC11IMF-IIIa-c-104) Activity 1: CRYSTALLINE SOLID Objective: Identify the type of crystalline solid formed by a substance. Materials: Paper and pen Direction: Identify the type of crystalline solid (metallic, network covalent, ionic, or molecular) formed by each of the following substances. _1. CaCl2 6. CH3CH2CH2CH3 _2. SiC 7. HCl _3. N2 8. NH4NO3 _4. Fe 9. K3PO4 _5. C (graphite) 10. SiO2 Q1. Explain why ice, which is a crystalline solid, has a melting temperature of 0 °C, whereas butter, which is an amorphous solid, softens over a range of temperatures. _ _ _ 11 NOTE: Practice personal hygiene protocols at all times Activity 2: CONCEPTUAL PROBLEMS Objective: Determine the difference in the structure of crystalline and amorphous solids. Materials: Paper and pen Directions: Read and answer the questions briefly but substantially. Write your answer on the space provided. a. Why is the arrangement of the constituent atoms or molecules more important in determining the properties of a solid than a liquid or a gas? b. A student obtained a solid product in a laboratory synthesis. To verify the identity of the solid, she measured its melting point and found that the material melted over a 12°C range. After it had cooled, she measured the melting point of the same sample again and found that this time the solid had a sharp melting point at the temperature that is characteristic of the desired product. Why were the two melting points different? What was responsible for the change in the melting point? 12 NOTE: Practice personal hygiene protocols at all times Activity 3: CRYSTAL SYSTEMS Objectives: describe the main points of difference between a crystalline solid and an amorphous solid; recognize and identify at least 3 of the 7 crystal systems; Introduction/background Traditional ceramics are clay-based. Clays have a mineral composition and minerals have a crystalline structure. A mineral is defined as a naturally occurring inorganic substance with a certain chemical composition and set of physical properties. Many minerals occur in characteristic crystal shapes. A crystalline solid is made up of an orderly repeating pattern of constituent atoms, molecules or ions extending in all 3 spatial dimensions. A limited number of crystal shapes have been found in nature. There are only 7 groups, or crystal systems, into which all naturally occurring crystals can be placed. Careful observation of crystal shapes is one of the best ways to classify and distinguish between different minerals. This activity focuses on three of these crystal systems – cubic, triclinic and rhombohedral. What you need Crystal systems diagram Copies of the student worksheet Small dropper bottles of 1 molL-1 solutions of sodium chloride (NaCl) and copper sulfate (CuSO4) Clean ‘golden’ beach sand Simple light microscope plus microscope slides Electric hot plate Templates to construct models of cubic, triclinic and rhombohedral crystal systems Paper glue 13 NOTE: Practice personal hygiene protocols at all times What to do 1. Hand out copies of the crystal systems diagram and discuss with the class. Explain that they will be investigating 3 of these crystal systems – cubic, triclinic and rhombohedral. 2. Make sure each student has the necessary materials and equipment and a copy of the student worksheet and templates. Student worksheet – Studying crystal systems Note: Please refer to the figure below for the reference of cubic, triclinic and rhombohedral crystals. 1. Cubic crystals: Place a drop of the sodium chloride solution supplied in the center of a microscope slide. Gently heat the slide by placing it on a hot plate (low setting). When all the water has evaporated, view the sodium chloride crystals that remain under the low power of a microscope. Note the shape of the crystals and sketch what you see. 14 NOTE: Practice personal hygiene protocols at all times 2. Triclinic crystals: Place a drop of the copper sulfate solution supplied in the center of a microscope slide. Gently heat the slide by placing it on a hot plate (low setting). When all the water has evaporated, view the copper sulfate crystals that remain under the low power of a microscope. Note the shape of the crystals and sketch what you see. 3. Rhombohedral crystals: Place a small sample of beach sand in the center of a microscope slide and spread out the grains. View under the low power of a microscope. Note the shape of the grains with a clear or whitish appearance – these are grains of the mineral quartz. Sketch what you see. 4. Compare the sketches you have drawn to the crystal systems diagram. 15 NOTE: Practice personal hygiene protocols at all times 5. The mineral halite, a naturally occurring form of sodium chloride, has a cubic crystal structure. Use the cubic crystal template to construct a model of a halite crystal. Fold all edges. Glue the tabs and stick together. 6. The feldspar minerals plagioclase and orthoclase have a triclinic crystal structure. Copper sulfate crystallizes out of solution as triclinic crystals just like the feldspars. Use the triclinic crystal template to construct a model of a feldspar mineral crystal. Fold all edges. Glue the tabs and stick together. 7. Quartz minerals are commonly found in beach sand. These tiny grains have a rhombohedral shape (cubic system stretched along a body diagonal). Use the rhombohedral crystal template to construct a model of a quartz crystal. 16 NOTE: Practice personal hygiene protocols at all times Crystal systems 17 NOTE: Practice personal hygiene protocols at all times Activity 4: BUILD ME UP Objectives: use models to point out the angular and side length differences that characterize the cubic, triclinic and rhombohedral crystal systems. Materials: template of cubic, triclinic and rhombohedral crystal system Directions: Use the given template to point out the angular and side length differences that characterize the cubic, triclinic and rhombohedral crystal systems Cubic crystal template All axes are of equal length. All axes are at 90° to one another. All axes are of variable lengths. All axes are at variable angles. 18 NOTE: Practice personal hygiene protocols at all times Rhombohedral crystal template All the axes are equal. All axes are at angles other than 90°. * Activity 5: CRYSTALLINE AND AMORPHOUS SOLID (Pre-lab) Objective: Distinguish between crystalline and amorphous substances. Materials: Worksheet Students create patterns using Altair designs. Background: The atoms in crystalline solid matter are arranged in regular, repeating .patterns. All other types of solid matter are amorphous or without a regular atomic arrangement. Metals and minerals are crystalline. Glass is amorphous. Depending upon its composition, the crystalline pattern of a mineral may not be visible in a hand sample. In this case minerals are studied using X-ray diffraction, a technique that uses the reflection of X-rays to determine crystal structure and composition. Electron level picture of tin 19 NOTE: Practice personal hygiene protocols at all times Procedure: 1. Observe the following diagram below illustrating crystalline versus a noncrystalline (amorphous) patterns. Crystalline Amorphous 2. On the worksheet, outline or fill in spaces on the Altair designs sheet to create patterns. Your patterns are examples of order within the overall structure of the design. This same type of organization generates crystalline structures in minerals. The Altair designs sheet will naturally guide your imagination through the maze of lines. Since no two students are alike, none of you will see the same shapes, forms or patterns hidden in these designs. You may create some very interesting artwork. 3. After finishing your patterns pair up with your seatmate and see if there are any similar patterns. The similarities and differences means that there are many types of minerals, and hence many different crystal patterns. 20 NOTE: Practice personal hygiene protocols at all times Activity 6: MULTIPLE CHOICE Directions: Read each item carefully. Write the letter that corresponds to the correct answer on the space provided. _1. In amorphous solid, the atoms or molecules are held together in a completely random formation. A. True B. False _2. Which of the following is true of solids? A. Solids maintain a defined shape and size under all conditions. B. All solids maintain a defined shape and size if conditions remain constant. C. All solids have a lattice structure at atomic level. D. All solids have a crystalline structure. _3. One major difference between crystalline and amorphous solids is that A. Crystalline solids have precise melting point. B. Amorphous solids have a lattice structure. C. Crystalline solids break unpredictably and can produce curved fragments. D. Amorphous solids always behave consistently and uniformly. _4. A friend in your chemistry class is struggling to understand why crystalline solids are grouped into four main types: network, molecular, ionic, and metallic. Which explanation below will best help him begin to understand why chemists might have these groups? A. Crystalline solids all share a lattice structure, but have different densities. Chemists use the groups to organize the solids by density. B. Crystalline solids all share a lattice structure and the same types of bonds, but are composed of different elements. These elements affect the way the solid conducts heat and electricity. C. Crystalline solds all share a lattice structure, but behave differently under similar conditions. D. Crystalline solids all share a lattice structure, but the bonds that hold them together at the atomic level differ. The elements that make up the solids also differ. These differences affect how a solid conducts heat and electricity, and its density. 21 NOTE: Practice personal hygiene protocols at all times _5. Solids have many different properties. _ solids are known for their ability to be flattened into a sheet, stretched into a wire, and to conduct energy well. A. Molecular B. Metallic C. Network D. Ionic _6. It is possible to tell the difference between a solid with a crystalline structure and one with an amorphous structure just by looking at it. A. True B. False _7. An engineer is designing an electrical system and is looking for a material to transmit energy. She has four solids available, each made with different materials. To conduct energy most efficiently and effectively, she should use material A. Whose electrons are held with ionic bonds. B. Whose electrons are held with covalent bonds. C. Whose electrons are held with metallic bonds. D. That is an electrical insulator. _8. Which statement is true about the properties of solids? A. Metallic solids have a high melting point. B. Network solids are generally not soluble in water. C. Molecular solids do not dissolve easily in water. D. All ionic solids are similar in density. 22 NOTE: Practice personal hygiene protocols at all times Reflection 1. I learned that _ _ 2. I enjoyed most on _ _ _ _ . 3. I want to learn more on _ _ _. 23 NOTE: Practice personal hygiene protocols at all times References: https://opentextbc.ca/chemistry/chapter/10-5-the-solid-state-of-matter https://byjus.com/chemistry/classification-of-solids-based-on-crystal-structure/ https://www.sciencelearn.org.nz/resources/1784-crystal-systems Prepared by: DIVINA S. RIBIACO Baua National High School 24 NOTE: Practice personal hygiene protocols at all times GENERAL CHEMISTRY 2 Name: _ Grade Level: Date: Score: __ LEARNING ACTIVITY SHEET PHASE DIAGRAM OF WATER AND CARBON DIOXIDE Background Information for the Learners A typical phase diagram consists of discrete regions that represent the different phases exhibited by a substance (Figure 12.4.1). Each region corresponds to the range of combinations of temperature and pressure over which that phase is stable. The combination of high pressure and low temperature (upper left of Figure 12.4.1) corresponds to the solid phase, whereas the gas phase is favored at high temperature and low pressure (lower right). The combination of high temperature and high pressure (upper right) corresponds to a supercritical fluid. https://chem.libretexts.org/Bookshelves/General_Chemistry/Map%3A_General_Chemistry_(Petrucci_et_al.)/12%3A_Intermolec ular_Forces%3A_Liquids_And_Solids/12.4%3A_Phase_Diagrams Figure 12.4.1: A Typical Phase Diagram for a Substance That Exhibits Three Phases—Solid, Liquid, and Gas—and a Supercritical Region The solid phase is favored at low temperature and high pressure; the gas phase is favored at high temperature and low pressure. 25 NOTE: Practice personal hygiene protocols at all times The lines in a phase diagram correspond to the combinations of temperature and pressure at which two phases can coexist in equilibrium. In Figure 12.4.1, the line that connects points A and D separates the solid and liquid phases and shows how the melting point of a solid varies with pressure. The solid and liquid phases are in equilibrium all along this line; crossing the line horizontally corresponds to melting or freezing. The line that connects points A and B is the vapor pressure curve of the liquid, which we discussed in Section 11.5. It ends at the critical point, beyond which the substance exists as a supercritical fluid. The line that connects points A and C is the vapor pressure curve of the solid phase. Along this line, the solid is in equilibrium with the vapor phase through sublimation and deposition. Finally, point A, where the solid/liquid, liquid/gas, and solid/gas lines intersect, is the triple point; it is the only combination of temperature and pressure at which all three phases (solid, liquid, and gas) are in equilibrium and can therefore exist simultaneously. Because no more than three phases can ever coexist, a phase diagram can never have more than three lines intersecting at a single point. Remember that a phase diagram, such as the one in Figure 12.4.1, is for a single pure substance in a closed system, not for a liquid in an open beaker in contact with air at 1 atm pressure. In practice, however, the conclusions reached about the behavior of a substance in a closed system can usually be extrapolated to an open system without a great deal of error. The Phase Diagram of Water Figure 12.4.2 shows the phase diagram of water and illustrates that the triple point of water occurs at 0.01°C and 0.00604 atm (4.59 mmHg). Far more reproducible than the melting point of ice, which depends on the amount of dissolved air and the atmospheric pressure, the triple point (273.16 K) is used to define the absolute (Kelvin) temperature scale. The triple point also represents the lowest pressure at which a liquid phase can exist in equilibrium with the solid or vapor. At pressures less than 0.00604 atm, therefore, ice does not melt to a liquid as the temperature increases; the solid sublimes directly to water vapor. Sublimation of water at low temperature and pressure can be used to “freeze-dry” foods and beverages. The food or beverage is first cooled to subzero temperatures and placed in a container in which the pressure is maintained below 0.00604 atm. Then, as the temperature is increased, the water 26 NOTE: Practice personal hygiene protocols at all times sublimes, leaving the dehydrated food (such as that used by backpackers or astronauts) or the powdered beverage (as with freeze-dried coffee). https://chem.libretexts.org/Bookshelves/General_Chemistry/Map%3A_General_Chemistry_(Petrucci_et_al.)/12%3A_Intermolec ular_Forces%3A_Liquids_And_Solids/12.4%3A_Phase_Diagrams Figure 12.4.2: Two Versions of the Phase Diagram of Water. (a) In this graph with linear temperature and pressure axes, the boundary between ice and liquid water is almost vertical. (b) This graph with an expanded scale illustrates the decrease in melting point with increasing pressure. (The letters refer to points discussed in Example 12.4.1). The phase diagram for water illustrated in Figure 12.4.2b shows the boundary between ice and water on an expanded scale. The melting curve of ice slopes up and slightly to the left rather than up and to the right as in Figure 12.4.1; that is, the melting point of ice decreases with increasing pressure; at 100 MPa (987 atm), ice melts at −9°C. Water behaves this way because it is one of the few known substances for which the crystalline solid is less dense than the liquid (others include antimony and bismuth). Increasing the pressure of ice that is in equilibrium with water at 0°C and 1 atm tends to push some of the molecules closer together, thus decreasing the volume of the sample. The decrease in volume (and corresponding increase in density) is smaller for a solid or a liquid than for a gas, but it is sufficient to melt some of the ice. In Figure 12.4.2b point A is located at P = 1 atm and T = −1.0°C, within the solid (ice) region of the phase diagram. As the pressure increases to 150 atm while the temperature remains the same, the line from point A crosses the ice/water boundary to point B, which lies in the liquid water region. Consequently, applying a pressure of 150 atm will melt ice at −1.0°C. We have already indicated that the pressure dependence of the melting point of water is of vital importance. If the solid/liquid 27 NOTE: Practice personal hygiene protocols at all times boundary in the phase diagram of water were to slant up and to the right rather than to the left, ice would be denser than water, ice cubes would sink, water pipes would not burst when they freeze, and antifreeze would be unnecessary in automobile engines. Referring to the phase diagram of water in Figure 12.4.2: a. Predict the physical form of a sample of water at 400°C and 150 atm. b. Describe a changes that occur as the sample in part (a) is slowly allowed to cool to -50°C at a constant pressure of 150 atm Given: phase diagram, temperature, and pressure Asked for: physical form and physical changes Strategy: Identify the region of the phase diagram corresponding to the initial conditions and identify the phase exist in this region. Draw a line corresponding to the given pressure. Move along that line in the appropriate direction (in this case cooling) and describe the phase changes. Solution: a. Locate the starting point on the phase diagram in part (a) in Figure 12.4.212.4.2. The initial conditions correspond to point A, which lies in the region of the phase diagram representing water vapor. Thus water at T = 400°C and P = 150 atm is a gas. b. Cooling the sample at constant pressure corresponds to moving left along the horizontal line in part (a) in Figure 12.4.212.4.2. At about 340°C (point B), we cross the vapor pressure curve, at which point water vapor will begin to condense and the sample will consist of a mixture of vapor and liquid. When all of the vapor has condensed, the temperature drops further, and we enter the region corresponding to liquid water (indicated by point C). Further cooling brings us to the melting curve, the line that separates the liquid and solid phases at a little below 0°C (point D), at which point the sample will consist of a mixture of liquid and solid water (ice). When all of the water has frozen, cooling the sample to −50°C takes us along the horizontal line to point E, which lies within the region corresponding to solid water. At P = 150 atm and T = −50°C, therefore, the sample is solid ice. 28 NOTE: Practice personal hygiene protocols at all times The Phase Diagram of Carbon dioxide In contrast to the phase diagram of water, the phase diagram of CO2 (Figure 12.4.312.4.3) has a more typical melting curve, sloping up and to the right. The triple point is −56.6°C and 5.11 atm, which means that liquid CO2 cannot exist at pressures lower than 5.11 atm. At 1 atm, therefore, solid CO2 sublimes directly to the vapor while maintaining a temperature of −78.5°C, the normal sublimation temperature. Solid CO2 is generally known as dry ice because it is a cold solid with no liquid phase observed when it is warmed. Dry ice (CO2(s)CO2(s)) sublimed in air under room temperature and pressure. Also notice the critical point at 30.98°C and 72.79 atm. Supercritical carbon dioxide is emerging as a natural refrigerant, making it a low carbon (and thus a more environmentally friendly) solution for domestic heat pumps. https://chem.libretexts.org/Bookshelves/General_Chemistry/Map%3A_General_Chemistry_(Petrucci_et_al.)/12%3A_Intermolec ular_Forces%3A_Liquids_And_Solids/12.4%3A_Phase_Diagrams Figure 12.4.3: The Phase Diagram of Carbon Dioxide. Note the critical point, the triple point, and the normal sublimation temperature in this diagram. 29 NOTE: Practice personal hygiene protocols at all times The Critical Point As the phase diagrams above demonstrate, a combination of high pressure and low temperature allows gases to be liquefied. As we increase the temperature of a gas, liquefaction becomes more and more difficult because higher and higher pressures are required to overcome the increased kinetic energy of the molecules. In fact, for every substance, there is some temperature above which the gas can no longer be liquefied, regardless of pressure. This temperature is the critical temperature (Tc), the highest temperature at which a substance can exist as a liquid. Above the critical temperature, the molecules have too much kinetic energy for the intermolecular attractive forces to hold them together in a separate liquid phase. Instead, the substance forms a single phase that completely occupies the volume of the container. Substances with strong intermolecular forces tend to form a liquid phase over a very large temperature range and therefore have high critical temperatures. Conversely, substances with weak intermolecular interactions have relatively low critical temperatures. Each substance also has a critical pressure (Pc), the minimum pressure needed to liquefy it at the critical temperature. The combination of critical temperature and critical pressure is called the critical point. The critical temperatures and pressures of several common substances are listed in Figure 12.4.1 Figure 12.4.1: Critical Temperatures and Pressures of Some Simple Substances Substance Tc (°C) Pc (atm) NH3 132.4 113.5 CO2 31.0 73.8 CH3CH2OH (ethanol) 240.9 61.4 He −267.96 2.27 Hg 1477 1587 CH4 −82.6 46.0 N2 −146.9 33.9 H2O 374.0 217.7 *High-boiling-point, nonvolatile liquids have high critical temperatures and vice versa. 30 NOTE: Practice personal hygiene protocols at all times https://chem.libretexts.org/Bookshelves/General_Chemistry/Map%3A_General_Chemistry_(Petrucci_et_al.)/12%3A_Intermolec ular_Forces%3A_Liquids_And_Solids/12.4%3A_Phase_Diagrams Learning Competency: Interpret the phase diagram of water and carbon dioxide (STEM_GC11IMFIIIa-c107) Activity 1: WATER AND CARBON DIOXIDE Objective: determine the state of water at each given temperature and pressure. Materials: Paper and pen Figure A. Figure B courses.lumenlearning.com/wsu-sandbox2/chapter/phase-diagram-2/ A. Directions: Using the phase diagram (fig. a) for water, determine the state of H 2O at the following temperatures and pressures. Write your answer on the space provided. _1. -10 °C and 50 kPa _2. 25°C and 90 kPa _3. 50°C and 40 kPa _4. 80°C and 5 kPa _5. -10°C and 0.3 kPa 31 NOTE: Practice personal hygiene protocols at all times A. Directions: Using the phase diagram for carbon dioxide, determine the state of CO2 at the following temperatures and pressures. Write your answer on the space provided. 6. −30 °C and 2000 kPa _7. −60 °C and 1000 kPa _8. −60 °C and 100 kPa _9. 20 °C and 1500 kPa _10. 0 °C and 100 kPa Activity 2: CRITICAL THINKING (H2O and CO2) Objective: Interpret the phase diagram of water and carbon dioxide. Materials: Paper and pen Directions: Read and analyze the given problem, then answer the questions below. Write your answer on the space provided. Problem: Imagine a substance with the following points on the phase diagram: a triple point at .5 atm and -5ºC; a normal melting point at 20ºC; normal boiling point at 150ºC; and a critical point at 5 atm and 1000ºC. The solid liquid line is “normal” (meaning positive sloping). For this, complete the following: 1. Describe what one would see at pressures and temperatures above 5 atm and 1000ºC. 2. Describe what will happen to the substance when it begins in a vacuum at -15 ºC and is slowly pressurized. 3. Describe the phase changes from -80ºC to 500ºC at 2 atm. 32 NOTE: Practice personal hygiene protocols at all times Activity 3: THE COOL CHEMISTRY OF DRY ICE Objective: Interpret the phase diagram of water. Materials: Paper and pen Directions: Read and analyze the given problem, then answer the question below. Write your answer on the space provided. Problem: Referring to the phase diagram of water in figure 12.4.2, predict the physical form of a sample of water at -0.0050ºC as the pressure is gradually increased from 1.0 mmHg to 218 atm. Write your answer on the space provided. https://chem.libretexts.org/Bookshelves/General_Chemistry/Map%3A_General_Chemistry_(Petrucci_et_al.)/12%3A_Intermolec ular_Forces%3A_Liquids_And_Solids/12.4%3A_Phase_Diagrams _ _ _ . 33 NOTE: Practice personal hygiene protocols at all times Activity 4: DIHYDROGEN MONOXIDE Objective: Interpret the phase diagram of water. Materials: Paper and pen A phase diagram of water is shown below B 4 C (374 °C, 218 atm) 2 1 3 A (0.01 °C, 0.00603 atm) Temperature https://scilearn.sydney.edu.anu... 1. Identify the four phases shown as 1-4 in the phase diagram. a. c. b. d. 2. What names are given to the points A and C? a. b. 3. The boundary line A-B is slightly tilted to the left. What are the physical and biological significances of this? 34 NOTE: Practice personal hygiene protocols at all times Activity 5: CARBON DIOXIDE Objective: determine the state of water at each given temperature and pressure. Materials: Paper and pen Directions: Answer the following questions based on the P-T phase diagram of carbon dioxide. Write your answer on the space provided. Phase diagram of carbon dioxide https://www.toppr.com/ask/question/answer-the-following-questions-based-on-the-pt-phase-diagram/ 1. At what temperature and pressure can the solid, liquid and vapor phases of CO2 co-exits in equilibrium? _ . 2. What is the effect of decrease of pressure on the fusion and boiling point of CO2? . 3. What are the critical temperature and pressure for CO2? _. 35 NOTE: Practice personal hygiene protocols at all times Reflection 1. I learned that _ _ 2. I enjoyed most on _ _ _ . 3. I want to learn more on _ _ _. 36 NOTE: Practice personal hygiene protocols at all times References: https://chem.libretexts.org/Bookshelves/General_Chemistry/Map%3A_General_Che mistry_(Petrucci_et_al.)/12%3A_Intermolecular_Forces%3A_Liquids_And_Solids/12 .4%3A_Phase_Diagrams https://msnucleus.org/membership/html/k-6/rc/minerals/3/rcm3_4a.html https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textb ook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Physical _Properties_of_Matter/States_of_Matter/Phase_Transitions/Phase_Diagrams https://www.toppr.com/ask/question/answer-the-following-questions-based-on-the-ptphase-diagram/ courses.lumenlearning.com/wsu-sandbox2/chapter/phase-diagram-2/ Prepared by: DIVINA S. RUBIACO Baua National High School 37 NOTE: Practice personal hygiene protocols at all times GENERAL CHEMISTRY 2 Name: Grade Level: Date: Score: LEARNING ACTIVITY SHEET HEATING AND COOLING CURVES Background Information for the Learners (BIL) Heating Curve Imagine that you have a block of ice that is at a temperature of -30°C, well below its melting point. The ice is in a closed container. As heat is steadily added to the ice block, the water molecules will begin to vibrate faster and faster as they absorb kinetic energy. Eventually, when the ice has warmed to 0°C, the added energy will start to break apart the hydrogen bonding that keeps the water molecules in place when it is in the solid form. As the ice melts, its temperature does not rise. All of the energy that is being put into the ice goes into the melting process and not into any increase in temperature. During the melting process, the two states – solid and liquid – are in equilibrium with one another. If the system was isolated at that point and no energy was allowed to enter or leave, the ice-water mixture at 0°C would remain. Temperature is always constant during a change of state. Continued heating of the water after the ice has completely melted will now increase the kinetic energy of the liquid molecules and the temperature will rise. Assuming that the atmospheric pressure is standard, the temperature will rise steadily until it reaches 100°C. At this point, the added energy from the heat will cause the liquid to begin to vaporize. As with the previous state change, the temperature will remain at 100°C while the water molecules are going from the liquid to the gas or vapor state. Once all the liquid has completely boiled away, continued heating of the steam (remember the container is closed) will increase its temperature above 100°C. 38 NOTE: Practice personal hygiene protocols at all times The experiment described above can be summarized in a graph called a heating curve: F D B E C A Between A & B, the material is a solid. The heat supplied to the material is used to increase the kinetic energy of the molecules and the temperature rises. Between B & C, the solid is melting. Heat is still being supplied to the material but the temperature does not change. Heat energy is not being changed into kinetic energy. Instead, the heat is used to change the arrangement of the molecules. At point C, all of the material has been changed to liquid. Between C & D, the heat supplied is again used to increase kinetic energy of the molecules and the temperature of the liquid starts to rise. Between C & D, the liquid is heated until it starts to boil. Between D & E, the liquid is still being heated but the extra heat energy does not change the temperature (kinetic energy) of the molecules. The heat energy is used to change the arrangement of the molecules to form a gas. At point E, all of the liquid has been changed into gas. Between E & F, the gas is heated and the heat energy increases the kinetic energy of molecules once more, so the temperature of the gas increases. 39 NOTE: Practice personal hygiene protocols at all times When a system contains only one phase (solid, liquid, or gas), the temperature will increase when it receives energy. The rate of temperature increase will be dependent on the heat capacity of the phase in the system. When the heat capacity is large, the temperature increases slowly, because much energy is required to increase its temperature by one degree. Thus, the slopes of temperature increase for the solid, liquid, and gases are different. In the heating curve of water, the temperature is shown as heat is continually added. Changes of state occur during plateaus because the temperature is constant. The change of state behavior of all substances can be represented with a heating curve of this type. The melting and boiling points of the substance can be determined by the horizontal lines or plateaus on the curve. Other substances would of course have melting and boiling points that are different from those of water. One exception to this exact form for a heating would be for a substance such as carbon dioxide which sublimes rather than melts at standard pressure. The heating curve for carbon dioxide would have only one plateau, at the sublimation temperature of CO2. Cooling Curves Heating curves show how the temperature changes as a substance is heated up. Cooling curves are the opposite. They show how the temperature changes as a substance is cooled down. Just like heating curves, cooling curves have horizontal flat parts where the state changes from gas to liquid, or from liquid to solid. These are mirror images of the heating curve. You will use lauric acid in a school lab to make your own cooling curve. Lauric acid has a melting point of about 45°C and is easily melted in a test tube placed in a beaker of hot water. The temperature can be followed using a thermometer or temperature probe connected to a data logger. The liquid may be cooled by putting the boiling tube in a beaker of cold water or just leaving it in the air. 40 NOTE: Practice personal hygiene protocols at all times Note: The melting and freezing occur at the same temperature. During freezing, energy is removed and during melting, energy is absorbed. Energy Changes Since Temperature is a measure of "Average Kinetic Energy", any change in temperature is a change in Kinetic Energy. All of the diagonal line segments on a heating or cooling curve show a temperature change and therefore a change in kinetic energy. During these regions, a single state of matter exists and the sample is either getting hotter or cooler. During the horizontal line segments, there is no change in temperature, so kinetic energy remains constant. However, all the energy that is absorbed or released is related to changes in potential energy. Remember the 3 Ps: Plateau, Phase change and Potential Energy Change. Source: https://www.rcboe.org/cms/lib/GA01903614/Centricity/Domain/1951/Heating%20and %20Cooling%20Curves%20new.pdf 41 NOTE: Practice personal hygiene protocols at all times Learning Competency Determine and explain the heating and cooling curve of a substance (STEM_GC11IMFIIIa-c-109) Activity 1: THE COOLING CURVE OF WATER Directions: Using the curve below describe what is happening between each of the points: i. A-B ii. B-C iii. C-D iv. D-E v. E-F 42 NOTE: Practice personal hygiene protocols at all times Activity 2: THE HEATING CURVE OF WATER Directions: Use the cooling curve below to answer the following questions. Photo credit: https://sites.google.com/site/heatingandcoolingcurves/_/rsrc/1299042706797/curveexplanation/hEATING%20CURVE.png 1. In which region(s) does temperature remain constant? 2. In which region(s) does temperature increase? 3. In which region(s) of the graph does a phase change occur? 4. In which region(s) of the graph would the substance only be in one phase? 5. In which region(s) of the graph would the substance be a solid only? 6. In which region(s) of the graph would the substance be a solid and a liquid? 7. In which region(s) of the graph would the substance be a liquid and a gas? 8. In which region(s) of the graph would the substance be a gas only? 9. In which region(s) of the graph does boiling take place? 10. In which region(s) of the graph does melting take place? 43 NOTE: Practice personal hygiene protocols at all times Reflection: 1. I learned that 2. I enjoyed most on 3. I want to learn more on 44 NOTE: Practice personal hygiene protocols at all times References: https://www.quora.com/How-do-you-determine-the-freezing-point-of-asolution-do-you-follow-this-process-for-every-solution Curriculum Guide and Teaching Guide. K to 12 Basic Education Curriculum Senior High School – Science, Technology, Engineering and Mathematics (STEM) Specialized Subject http://teachtogether.chedk12.com/teaching_guides/view/499 courses.lumenlearning.com/cheminter/chapter/heating-and-cooling-curvesalso-called-temperature-curves/ https://www.rcboe.org/cms/lib/GA01903614/Centricity/Domain/1951/Heating% 20and%20Cooling%20Curves%20new.pdf https://www.tes.com/teaching-resource/graphs-and-heating-cooling-curvesworksheet-6064146 https://chem.libretexts.org/Bookshelves/General_Chemistry/Map%3A_Chemis try_The_Central_Science_(Brown_et_al.) Prepared by: JACKIE B. UBINA Solana National High School 45 NOTE: Practice personal hygiene protocols at all times GENERAL CHEMISTRY 2 Name: __ Grade Level: _ Date:_ __ Score: _ LEARNING ACTIVITY SHEET WAYS OF EXPRESSING CONCENTRATION OF SOLUTIONS Background Information for the Learners (BIL) The term solution is used in Chemistry to describe a homogeneous mixture in which at least one substance (the solute) is dissolved in another substance (the solvent). The solvent is the substance in greater quantity and the name of the of the solution is taken from the name of the solute. For example, when sodium chloride is dissolved in water, sodium chloride is the solute, and water is the solvent, and the solution is called a sodium chloride solution. There are different methods of expressing solution concentrations namely; Molarity, Molality, Percent by Mass, Percent by Volume, Mole fraction and Parts Per Million. These methods are used to express relative amounts of solute and solvent in a solution. In other words, the concentration of a solution is the amount of solute present in a given amount of solvent, or a given amount of solution. Percent by Mass The Percent by Mass (also called percent by weight or weight percent) is the ratio of the mass of a solute to the mass of the solution, multiplied by 100 percent: Mass of solute Percent by Mass = Mass of solute + Mass of solvent X 100% 46 NOTE: Practice personal hygiene protocols at all times Or, Mass of solute Percent by Mass = X 100% Total mass of Solution Let us consider the examples below; Example 1: In a solution prepared by dissolving 24g of Sodium Chloride (NaCl) in 152g of water, what is the mass percent of Sodium Chloride (NaCl)? Solution: First, identify the given. Given: Solute = 24g of NaCl Solvent = 152g of Water Second, identify the unknown or what is being asked in the problem. Unknown = Percent by Mass of NaCl. Third, write the formula and calculate the unknown. Mass of solute Percent by Mass = X 100% Mass of solute + Mass of solvent Percent by Mass of NaCl= 24g NaCl X 100% 24g NaCl + 152g Water Percent by Mass of NaCl= 24g X 100% = 14% 176g 47 NOTE: Practice personal hygiene protocols at all times Example 2: A sample of 0.892 g of potassium chloride (KCl) is dissolved in 54.6 g of water. What is the percent by mass of KCl in the solution? Solution: First, identify the given. Given: Solute = 0.892g of KCl Solvent = 54.6g of water Second, identify the unknown or what is being asked in the problem. Unknown = Percent by Mass of KCl. Third, write the formula and calculate the unknown. Mass of solute Percent by Mass = Percent by Mass =Mass of solute + Mass of solvent Percent by Mass of KCl= X 100% 0.892g of KCl X 100% 0.892g of Cl + 54.6g of Water Percent by Mass of KCl= 0.892g X 100% = 1.61% 55.492g Percent by Volume Percent by Volume or Volume Percent is a common expression used for expressing concentration. It is related to the molar concentration but the difference is that the volume percent is expressed with a denominator of 100. It is used for reporting concentration of liquids solutes in solution. It is also called %V/V and it is always expressed as percentage (%) and the units of the volume should be in mL. . Percent 48 NOTE: Practice personal hygiene protocols at all times by volume is also widely use in pharmaceutical field for expressing the concentration of different components in solution. Percent Volume = Volume of solute X 100% Volume of solute +Volume of solvent Or, Percent Volume = Volume of solute X 100% Total Volume of Solution Let us consider the examples below; Example 1: A solution of propanol (CH3CH2CH2OH) is prepared by dissolving 67 mL in enough water to have a final volume of 250 mL. What is the volume percent of the propanol? Solution: First, identify the given. Given: Solute = 67mL propanol Solution = 250mL Second, identify the unknown or what is being asked in the problem. Unknown = Percent Volume of Propanol 49 NOTE: Practice personal hygiene protocols at all times Third, write the formula and calculate the unknown. Volume of solute Percent Volume = Percent Volume = Total Volume of Solution 67 mL X 100% X 100% = 26.8% 250mL Example 2: How many mL of HNO3 concentrate are needed to prepare 250 mL of solution 4%? Solution: First, identify the given Given: solution = 250mL Volume = 4 percent by Second, identify the unknown or what is being asked in the problem. Unknown = Volume of solute (HNO3) Third, write the formula and calculate the unknown. But in this case we have to derive the formula. From the mother formula; Volume of solute Percent Volume = Total Volume of Solution X 100% 50 NOTE: Practice personal hygiene protocols at all times To derived formula to get the volume of solute. (Percent by Volume) (Volume of Solution) Volume of Solute = 100% Thus, Volume of Solute = (4%) (250mL) = 10mL 100% Parts per Million When the amount of solute is very small, as with trace impurities in water, concentration is often expressed in parts per million. PPM is a term used in chemistry to denote a very, very low concentration of a solution. One gram in 1000 ml is 1000 ppm and one thousandth of a gram (0.001g) in 1000 ml is one ppm. Parts Per Million (ppm) is a measurement of the concentration of a solution. Parts per Million = Gram of Solute X 106 Gram of Solution Let us consider the examples below; Example 1: What is the concentration of a solution in parts per million, if 0.02 grams of NaCl is dissolved in 1000 grams of solution? Solution: First, identify the given. Given: Solute = 0.02g of NaCl Solution = 1000g 51 NOTE: Practice personal hygiene protocols at all times Second, identify the unknown or what is being asked in the problem. Unknown = Concentration in parts per million Third, write the formula and calculate the unknown Parts per Million = Gram of Solute X 106 Gram of Solution Parts per Million = 0.02 grams X 106 = 20 ppm 1000 grams Example 2: What is the total mass of solute in 1000g of a solution having a concentration of 5ppm? Solution: First, identify the given Given: Solution = 1000 grams Concentration in ppm = 5ppm Second, identify the unknown or what is being asked in the problem. Unknown = Mass of Solute Third, write the formula and calculate the unknown. But in this case we have to derive the formula. 52 NOTE: Practice personal hygiene protocols at all times From the mother formula; Gram of Solute Parts per Million = X 106 Gram of Solution To derived formula to get the unknown which is the mass of solute. Gram of Solute = (ppm) (gram of solution) 1000000 Thus, Gram of Solute = ( 5 ppm) (1000 grams) = .005g 1000000 Mole Fraction It is a dimensionless quantity that expresses the ratio of the number of moles of one component to the number of moles of all components present. For a mixture of two substances, A and B, the mole fractions of each would be written as follows: Mole fraction of component A: mol A XA = mol A + mol B mol B Mole fraction of component B: XB =mol A + mol B In general, the mole fraction of component “i” in a mixture is given by; Xi = ni nT 53 NOTE: Practice personal hygiene protocols at all times where ni and nT are the number of moles of component i and the total number of moles present, respectively. The mole fraction is always smaller than 1. *The mole fraction is unitless or dimensionless because it is a ratio of two similar quantities* Let us consider the examples below; Example 1: 0.100 mole of NaCl is dissolved into 100.0 grams of pure H 2O. What is the mole fraction of NaCl? What is the mole fraction of H2O? Solution: First, identify the given Given: 0.100 mole of NaCl 100.0 grams of pure H2O Second, identify the unknown or what is being asked in the problem. Unknown: mole fraction of H2O. *Note that the component being asked in the problem is the water (H 2O) component, but as you may notice, the unit of water as stated in the problem is in grams. Before you can finally input the all the given in the formula you have to make sure that units to be used are appropriate. Since we are dealing with mole fraction, we have to convert 100 grams of H2O into moles using the molar mass of H2O (18g/mol).* Converting 100 grams of water into moles: (100 grams of H2O) X (1 mol H2O) = 5.56mol H2O (18.0g H2O) 54 NOTE: Practice personal hygiene protocols at all times Third, write the formula and calculate the unknown. Xi = nT ni 5.56 mol Xi = 5.66 mol = 0.982 Example 2: A solution is prepared by mixing 25.0 grams of water and 25.0 grams of ethanol (C2H5OH). Determine the mole fractions of each substance. Solution: First, identify the given Given: 25 grams of water 25 grams of ethanol *As you may notice, all the given are in grams. You may think that you could solve right away for the mole fraction since you will arrive in a unit less answer. But that is not how it works in mole fraction because mole fraction deals with moles, and so we need to convert this grams into moles first before we can be able to get the mole fraction. In converting the given grams to moles, refer to the method shown in example 1 and the molar mass of the substance can be summed up using the mass of the atoms in that given substance.* Thus, 25 grams of water = 1.34 mol of water 25 grams of ethanol = 0.543 mole of ethanol Second, identify the unknown or what is being asked in the problem. 55 NOTE: Practice personal hygiene protocols at all times Unknown: Mole fractions of each substance. Therefore, for this problem we have to treat water as component A and ethanol as component B. Third, write the formula and calculate the unknown. Water as component A XA = Ethanol as component B mol A mol A + mol B XA = 1.34 mol mol B XB = mol A + mol B = 0.71 0.543 mol XB = 1.34 mol+ 0.543mol = 0.29 1.34 mol + 0.543mol Molarity Otherwise known as “molar concentration”. It is defined as the number of moles of solute per liter of solution. The SI unit for molarity is mol/m 3; however, you will almost always encounter molarity with the units of mol/L. A solution of concentration 1 mol/L is also denoted as “1 molar” (1 M). Mol/L can also be written in the following ways (however, mol/L, or simply M, is most common) It is important to keep in mind that molarity refers only to the amount of solute originally dissolved in water and does not take into account any subsequent processes, such as the dissociation of a salt or the ionization of an acid. In equation form it is written as; Moles of solute M= Liter of Solution and can be expressed algebraically as; M= n v 56 NOTE: Practice personal hygiene protocols at all times Where n, denotes the number of moles of solute. And v is the volume of solution in liters. Note that the volume in the definition of Molarity refers to the volume of solution and not the volume of the solvent. The reason for this is because one liter of solution usually contains either slightly more or slightly less than 1 liter of solvent, due to the presence of the solute. Let us consider the examples below; Example 1: How many grams of potassium dichromate (K2Cr2O7) are required to prepare a 250-mL solution whose concentration is 2.16 M ? Solution: First, identify the given Given: Molarity = 2.16M Solution = 250mL *Note that the solution must be converted into Liters and so 250 mL is equal to 0.250L.* Second, identify the unknown or what is being asked in the problem. Unknown = Potassium dichromate in grams Third, write the formula and calculate the unknown. But in this case we have to derive the formula. From the mother formula; n M= v M= To derived formula to get the moles of potassium dichromate. (which later on be converted into grams since the problem asks for the quantity of potassium dichromate in grams). N = (M) (v) 57 NOTE: Practice personal hygiene protocols at all times Thus, N = (2.16M) (0.250L) = 0.54 mol of potassium dichromate. The 0.54 mol potassium dichromate is not yet the final answer because we still must convert it into grams. Using the molar mass of K2Cr2O7 which is 294.2 g. Converting 0.540mol of K2Cr2O7 to grams we have; 294.2 g of K2Cr2O7 (0.540mol of K2Cr2O7) X = 159g of K2Cr2O 1mol of K2Cr 2O Example 2: In a biochemical assay, a chemist needs to add 3.81 g of glucose to a reaction mixture. Calculate the volume in milliliters of a 2.53 M glucose solution she should use for the addition. Solution: First, identify the given Given: 3.81 grams of glucose 2.53 M of glucose *Glucose is given in grams and we must first convert it into moles using its molar mass which is equal to 180.2 grams. Thus, 3.81 grams of glucose is equal to 2.114x10-2 mol of glucose.* Second, identify the unknown or what is being asked in the problem. Unknown: Volume in mL of a 2.53 M glucose solution 58 NOTE: Practice personal hygiene protocols at all times Third, write the formula and calculate the unknown. But in this case we have to derive the formula. From the mother formula; n M= v To derived formula; n V= M Thus, 2.114x10-2mol of glucose V= = 8.36x10-3 L 2.53M *Notice that our units is in Liter and the problem is asking for the uni to be in mL, that is why we must convert 8.36x10-3 L into mL which is equivalent to 8.36 mL solution. And 8.36 mL is the final answer for this problem.* Molality It is an intensive property of solutions, and it is calculated as the moles of a solute divided by the kilograms of the solvent. Unlike molarity, which depends on the volume of the solution, molality depends only on the mass of the solvent. Molality is the number of moles of solute dissolved in 1 kg (1000 g) of solvent—that is, Moles of solute m= Mass of solvent The SI unit for molality is mol/kg. A solution with a molality of 3 mol/kg is often described as “3 molal” or “3 m.” However, following the SI system of units, mol/kg or a related SI unit is now preferred. 59 NOTE: Practice personal hygiene protocols at all times Let us consider the examples below; Example 1: Calculate the molality of a sulfuric acid solution containing 24.4 g of sulfuric acid in 198 g of water. The molar mass of sulfuric acid is 98.09 g. Solution: First,identify the given Given: Solute = 24.4 grams of sulfuric acid Solvent = 198 grams of water *Always be mindful with the units, the solute given is in grams and it should be first converted into moles (that is 0.249 molH2SO4) and also the solvent is expressed in grams that should be in kilograms so, solvent must be 0.198 kg).* Second, identify the unknown or what is being asked in the problem. Unknown: Molality of sulfuric acid Third, write the formula and calculate the unknown mm== Moles of solute m = Mass of solvent Thus, 0.249 molH2SO4 m= 0.198 kg = 1.26m Example 2: 80.0 grams of glucose (C6H12O6 ) is dissolved in 1.00 kg of solvent. What is its molality? Molar mass of (C6H12O6 ) is equal to 180g/mol. Solution: First, identify the given; Given: Solute = 80.0 grams of glucose Solvent = 1.00kg 60 NOTE: Practice personal hygiene protocols at all times *Remember that, molality should be in the units of moles and kilogram. So, 80.0 grams of glucose should be converted first into moles. Thus, glucose is equal to 0.444 mol.* Second, identify the unknown or what is being asked in the problem. Unknown: Molality of Glucose solution Third, write the formula and calculate the unknown m= Moles of solute Mass of solvent Thus, m= 0.444 mol glucose = 0.444m 1.00kg Learning Competency: Use different ways of expressing concentration of solutions: Molarity, Molality, Percent by mass, Percent by volume, mole fraction and ppm. (STEM_GC11PP-IIId-f-111) Activity 1: Choose The “RIGHT” One Directions: Read and analyze the following questions and choose from the given options the best correct answer. 1. Which of the following is not the unit of concentration? a. Mole/m3 b. Molar c. N/m3 d. ppm 61 NOTE: Practice personal hygiene protocols at all times 2. Which of the following material present in a solution is largest in amount? a. Salt b. Solute c. Solvent d. Molecules 3. Which of the following is defined as the relative amount of solute and solvent in a solution? a. Polarity b. Solubility c. Miscibility d. Concentration 4. Which of the following describes a solvent in a solution? a. Always a water b. Always a liquid c. The substance being dissolved d. The substance present in the greatest amount 5. Which of the following is defined as the quantity of solute per unit volume? a. Density b. Concentration c. Mole d. None of the above mentioned 62 NOTE: Practice personal hygiene protocols at all times Activity 2: CONCEPTUAL ANALYSIS Directions: Base on what you have learned from this lesson and from other previous lessons. Analyze the given statement and scientifically discuss your claim. A solution is prepared at 20oC and its concentration is expressed in two different units; Molarity and Molality. The solution is then heated to 88 oC. Which of the concentration units will change? Activity 3: MATCH ME! Directions: Read and analyze the following questions and compute for what is unknown in the given problem. Choose the correct numerical value from the response list on the right. Responses on the right may be used more than once or need not be used at all. B. 58.44g 1. What is the percent by volume concentration of a solution in which 75.0mL of ethanol is diluted to a volume of 250mL? A. 1.43mL D. 12.39% 2. What volume of acetic acid is present in a bottle containing 350.0mL of a solution which measures 5.00% concentration. C. 1gram E.17.5mL 3. Find the percent by mass in which 41.0g of NaCl is dissolved in 331g of water. 4. How many grams of NaCl would you need to prepare F.2.0x1010ppm G. 30% 200.0mL of a 5M solution. 5. What is the ppm concentration of 6.00 mL sample of solution that has 3.6 x 10-4 g of sodium ions? J. 60ppm I. 8.07% H. 33.3% 63 NOTE: Practice personal hygiene protocols at all times Activity 4: Calculate The Unknown Directions: Read and analyze the following questions and compute for what is unknown in the given problem. Show complete solution by stating the given and unknown, and show the process from writing the formula to unit conversion (if applicable). 1. Suppose you added 4.0 moles of sugar to 10.0 L of solution. Calculate the molar concentration of the solution. 2. A sample of water taken from a nearby lake is found to have 0.0035 mol of salt in a 100mL solution. Determine the molar concentration of the solution in the lake. 3. You dissolve 30.0g of sodium sulfate (Na2SO4(s)) into 300mL of water. Calculate the molar concentration of the solution. 4. What is the Molality of a solution containing 7.78g of Urea [(NH 2)2CO2] in 203g of water? 5. Lead is a poisonous metal that especially affects children because they retain a larger fraction of lead than adults do. Lead levels of 0.250ppm in a child cause delayed cognitive development. How many moles of lead present in 1.00g of child’s blood would 0.250ppm represent. 6. Acetone, C3H6, is the main ingredient of nail polish remover. A solution is made up by adding 35.0mL of acetone (d=0.790g/mL) to 50.0mL of ethyl alcohol, C2H6O (d=0.789g/mL). Assuming volumes are additive, calculate (a) the mass percent of acetone in the solution. (b) the volume percent of ethyl alcohol in the solution. (c) the mole fraction of acetone in the solution. Activity 5: Expressing Concentration in Different Units Directions: Read and internalize the short story below and answer the questions that follow. Complete solution is required. “The coronavirus disease (COVID-19) is an infectious disease caused by a new strain of coronavirus. This new virus and disease were unknown before the outbreak began in Wuhan, China, in December 2019. 64 NOTE: Practice personal hygiene protocols at all times On 30 January 2020, the Philippine Department of Health reported the first case of COVID-19 in the country with a 38-year-old female Chinese national. On 7 March, the first local transmission of COVID-19 was confirmed. WHO is working closely with the Department of Health in responding to the COVID-19 outbreak.” Aki and her family were alarmed with the news they watched and so first thing in the morning they rush to the nearest convenient store to secure disinfectant and sanitizers but unfortunately the store already had empty shelves of the essentials they needed. They went to other stores searching and to their dismay they acquired nothing. They were on their way home when she suddenly remembered her past lesson on “solutions”, and so she immediately ran back to the store and purchase the things she needed for her simple experiment. She bought a bleach (Zonrox), gloves and measuring spoon and cups. Arriving at home she then put her gloves on and prepared the things she needed such as; 5tbsp bleach (0.0739L), 1 gallon of water (3.8L), pail and stirring rods. Using the pail with 3.8L of water, she carefully poured the 5tbsp bleach solution and then mixed it with the stirring rod. And they now have a disinfectant. In connection to her home made disinfectant and with our lesson, we will express her solutions’ concentration into different units; Molarity, Molality, Percent by mass, Percent by volume, mole fraction and ppm. Questions: 1. What is the molar concentration of Aki’s disinfectant if she dissolved 5Tbsp. of NaClO (sodium hypochlorite) in 3.8 liters of H2O (water)? 2. Compute for the molality of her disinfectant if she dissolved 5Tbsp. of NaClO (sodium hypochlorite) in 3.8 liters of H2O (water). 3. Calculate the percent by mass of sodium hypochorite in her disinfectant solution. ( 5Tbsp. of NaClO (sodium hypochlorite) and 3.8 liters of H2O (water). In units of grams for both of the solute and solvent. 4. Calculate the mole fraction of sodium hypochorite and water in Aki’s solution. ( 5Tbsp. of NaClO (sodium hypochlorite) and 3.8 liters of H2O (water). 5. Calculate the percent by volume of the disinfectant Aki made. Units in mL. 6. What is the concentration of her solution in parts per million? ( 5Tbsp. of NaClO (sodium hypochlorite) and 3.8 liters of H2O (water). 65 NOTE: Practice personal hygiene protocols at all times Reflection 1. I learned that _ _ 2. I enjoyed most on _ _ _ _. 3. I want to learn more on _ _ _. References: Masterton, William and Cecille Hurley. Chemistry Principles and Reactions. Solutions.Fifth Edition, Thomson Books/Cole,2004. Hein,Morris et.al. Foundations of Chemistry in the Laboratory for Sciences. Properties of Solutions. Twelfth Edition, John Wiley and Sons Inc.,2007. Whitten, Kenneth et.al. General Chemistry. Solutions. Seventh Edition, Thomson Books/Cole,2004. Chang, Raymond. Chemistry. Concentration Units. Tenth Edition, McGraw-Hill, 2010. Prepared by: ANGELIKA TORRES Sta Ana Fishery National High School 66 NOTE: Practice personal hygiene protocols at all times GENERAL CHEMISTRY 2 Name: _ Grade Level: Date: Score: __ LEARNING ACTIVITY SHEET STOICHIOMETRIC CALCULATIONS FOR REACTIONS IN SOLUTION Background Information for the Learners (BIL) Stoichiometry is the calculation of reactants and products in a certain chemical reactions. It applies the law of conservation of mass wherein the total mass of the reactants is always equal the total mass of the products, leading to the insight that the relations among the value or amount of reactants and products typically produce a ratio of positive numbers. This implies that if the amounts of the separate reactants are known, then the amount of the product can be calculated and vice versa. This image here, shows that the chemical reaction is balanced. Source: https://en.wikipedia.org/wiki/Stoichiometry#/media/File:Combustion_reaction_of_methane.jpg It shows that one molecule of methane, CH4 reacts with two molecules of oxygen gas, O2 to produce one molecule of carbon dioxide, CO2 and two molecules of water, H2O. This chemical reaction is an example of complete combustion. Stoichiometry measures these numerical relationships and is used to calculate the amount of products and reactants that are produced or needed in a given reaction. Describing the mathematical relationships of the substances that contributed in chemical reactions is what we call reaction stoichiometry. It measures the 67 NOTE: Practice personal hygiene protocols at all times relationship between the amount of methane and oxygen that react to form carbon dioxide and water. Elements in the periodic table have a different atomic mass, and as collections of single atoms or molecules have a fixed molar mass, measured with the unit mole (6.02 × 1023 individual molecules, Avogadro's constant). Carbon-12 has a molar mass of 12 g/mol. Thus, to compute the stoichiometry by mass, the number of molecules needed for each reactant is expressed in moles multiplied by the molar mass of each to give the mass of each reactant per mole of reaction. The mass ratios can be computed by dividing each by the total number in the whole reaction. Stoichiometry is often used to balance chemical equations. For example, the two diatomic gases, hydrogen and oxygen, when it combine H2 and O2, it produce a liquid, water, in an exothermic reaction, as described by the following equation: 2 H2 + O2 →2 H2O It shows the 2:1:2 ratio of hydrogen, oxygen, and water molecules in the above equation. The molar ratio permits for conversion between moles of one substance and moles of another. For example, 2 CH3OH +3 O2 →2 CO2 +4 H2O the amount of water that formed by the combustion of 0.27 moles of CH 3OH is obtained using the molar ratio between CH3OH and H2O of 2 to 4. Stoichiometry is also used for determining the molar proportions of elements in stoichiometric compounds. For example, the stoichiometry of hydrogen, H 2 and oxygen, O2 in H2O is 2:1. In stoichiometric compounds, the molar proportions should be whole numbers. Determining the Amount of Product The term stoichiometry can be used to find the quantity of a product produced by a reaction. If a piece of solid copper (Cu) were added to an aqueous solution of silver nitrate (AgNO3), the silver (Ag) would be substituted in a single displacement reaction forming aqueous copper(II) nitrate (Cu(NO3)2) and solid silver. How many silver, Ag is formed if 16.00 grams Cu is added to the solution of excess silver nitrate, AgNO3? 68 NOTE: Practice personal hygiene protocols at all times The following steps would be used: 1. Write and balance the chemical equation 2. Mass to moles conversion: Convert grams of Cu to moles of Cu 3. Mole ratio determination: Convert moles of Cu to moles of Ag produced 4. Mole to mass conversion: Convert moles of Ag to grams of Ag produced The complete balanced equation would be: Cu +2 AgNO3 → Cu(NO3)2 + 2 Ag For the mass to mole conversion, the mass of copper (16.00 g) would be converted to moles of copper by dividing the mass of copper to its molecular mass: 63.55 g/mol. Now that the amount of Cu in moles (0.2518) is form, we can set up the mole ratio. This is done by looking at the coefficients in the balanced equation: Cu and Ag are in a 1:2 ratio. Now that the moles of Ag produced is known to be 0.5036 mol, this amount can be converted into grams of Ag produced to determine the final answer: This set of calculations can be further shortened into a single step: Stoichiometric Calculations The coefficients in the balanced equation give the ratio of moles of reactants and products. 69 NOTE: Practice personal hygiene protocols at all times Source: https://www2.chemistry.msu.edu/courses/cem151/chap3lect_2009.pdf From the mass of Substance A, you can use the ratio of the coefficients of A and B to determine or calculate the mass of Substance B formed (if it’s a product) or used (if it’s a reactant). Example: 10 grams of glucose (C6H12O6) react in a combustion reaction. How many grams of each product are produced? C6H12O6(s) + 6 O2(g) 6 CO2(g) + 6 H2O(l) 10.g ? + ? Starting with 10. g of C6H12O6, we calculate the moles of C6H12O6. Use the coefficients to find the moles of H2O & CO2 and then turn the moles to grams C6H12O6(s) + 6 O2(g) 10.g MW: 180g/mol #mol: 10.g(1mol/180g) 0.055 mol 6 CO2(g) + 6 H2O(l) ? + 44 g/mol 6(.055) 6(.055mol)44g/mol #grams: 15g ? 18g/mol 6(.055mol) 6(.055mol)18g/mol 5.9 g 70 NOTE: Practice personal hygiene protocols at all times Reaction Stoichiometry in Solutions We can perform stoichiometric calculations for aqueous phase reactions just as we can for reactions in solid, liquid, or gas phases. Much of chemistry takes place in solution. Stoichiometry allows us to work in solution by giving us the concept of solution concentration, or molarity. Molarity is a unit that is often abbreviated as capital M. It is defined as the moles of a substance contained in one liter of solution. Almost always, we will use the concentrations of the solutions as conversion factors in our calculations. For instance, if a solution has a concentration of 1.20 M NaCl, this means that there are 1.20 moles of NaCl per liter of solution. Example 1: What mass of Aluminum (Al) is needed to react completely with 35.0 mL of 2.0 M Hydrochloric acid? Solution: 6 HCl + 2 Al 2 AlCl3 + 3 H2 35.0 mL HCl x 1L HCl x 2 mol HCl x 2 mol Al x 26.98 g Al 1000 mL 1L HCl 6 mol HCl 1 mol Al Al = 0.63 g Example 2. What volume (mL) of 0.75 M calcium nitrate would react completely with 148g of carbonate? Solution: Ca(NO3)2 + Na2CO3 CaCO3 + 2 NaNO3 148 g Na2CO3 x 1mol Na2CO3 x 1 mol Ca(NO3)2 x 1L Ca(NO3)2 x 1000 mL 105.99 g Na2CO3 1mol Na2CO3 0.75mol Ca(NO3)2 1L CaCO3 = 1.900 mL Learning Competency: Perform stoichiometric calculations for reactions in solution (STEM_GC11PP-IIId-f112) 71 NOTE: Practice personal hygiene protocols at all times Activity 1: FILL THE EMPTY LINE Directions: Read the following statement below and solve the problem. In the equation that follows each problem, write on the space provided for the mole ratio that can be used to solve the problem. Write the correct answer on the space provided for. The reaction of sodium peroxide and water produces sodium hydroxide and oxygen gas. The following balanced chemical equation represents the reaction. 2 Na2O2(s) + 2 H2O(l) → 4NaOH(s) + O2(g) 1. How many moles of NaOH are produced when 1.00 mol sodium peroxide reacts with water? 1mol Na2O2 x _ = mol NaOH 2. How many moles of oxygen gas are produced when 0.500 mol sodium peroxide reacts with water? 0.5 mol Na2O2 x _ = _ mol O2 3. How many moles of sodium peroxide are needed to produce 1.00 mol NaOH? 1 mol NaOH x = _ mol NaOH 4. How many moles of water are required to produce 2.15 mol oxygen gas? 2.15 mol O2 x = _ mol H2O 5. How many moles of water are needed for 0.100 mol of sodium peroxide to react completely? 0.100mol Na2O2 x _ = _ mol H2O Activity 2: SIMPLE STOICHIOMETRY Directions: Solve the following stoichiometry grams – grams problems. The combustion of a sample of butane, C4H10 (lighter fluid), produced 2.64 grams of water. 2 C4H10 + 13O2 8CO2 + 10H2O a. How many moles of water formed? ___ 72 NOTE: Practice personal hygiene protocols at all times b.How many moles of butane burned? _ c. How many grams of butane burned? _ d. How much oxygen was used up in moles? _ e. How much oxygen was used up in grams? _ _ Activity 3: THINK ABOUT IT! Directions: Solve the following simple stoichiometry problems. 1. 123 mL of a 1.00 M solution of NaCl is mixed with 72.5 mL of a 2.71 M solution of AgNO3. What is the mass of AgCl(s) formed in the precipitation reaction? AgNO3(aq) + NaCl(aq) AgCl(s) + NaNO3(aq) _ 2. What volume (mL) of 0.70 M Sodium hydroxide (NaOH) is needed to neutralize 270 mL of 0.40 M Sulfuric acid (H2SO4)? 2 NaOH + H2SO4 Na2SO4 + 2 H2O _ 73 NOTE: Practice personal hygiene protocols at all times 3. Hydrogen gas can be produced through the following reaction. Mg(s) + 2HCl(aq) MgCl2(aq) + H2(g) a. How many grams of HCl are consumed by the reaction of 2.50 moles of magnesium? b. What is the mass in grams of H2 gas when 4.0 moles of HCl is added to the reaction? 4. Acetylene gas (C2H2) is produced as a result of the following reaction. CaC2(s) + 2H2O(l) C2H2(g) + Ca(OH) 2(aq) a. If 3.20 moles of CaC2 are consumed in this reaction, how many grams of H2O are needed? b. How many grams of Ca(OH)2 would be formed with 3.20 moles of CaC2? 5. Laughing gas (nitrous oxide, N2O) is sometimes used as an anesthetic in dentistry. It is produced when ammonium nitrate is decomposed according to the following reaction. NH4NO3(s) N2O(g) + 2H2O(l) a. How many moles of NH4NO3 are required to produce 33.0g of N2O? b. How many moles of water are produced with 45.0g of N2O? 74 NOTE: Practice personal hygiene protocols at all times Activity 4: GIVE ME MY VALUE Directions: Complete the equation by writing the correct value on the space provided for. For questions 1 – 3, refer to the equation below 4 Fe + 3 O2 2 Fe2O3 1. How many moles of Fe2O3 are produced when 0.275 moles of Fe is reacted? 0.275 mol Fe mol Fe2O3 2. How many moles of Fe2O3 are produced when 31.0 moles of O2 is reacted? 3. How many moles of O2 are needed to react with 8.9 moles of Fe? For questions 4 – 6, refer to the equation below 2 KClO3 2 KCl + 3 O2 4. How many moles of O2 will be formed from 1.65 moles of KClO3? 1.65 mol KClO3 mol O2 mol O2 mol KClO3 5. How many moles of KClO3 are needed to make 3.50 moles of KCl? 3.50 mol KCl _ mol KClO3 75 NOTE: Practice personal hygiene protocols at all times Activity 5: GIVE ME THE SOLUTION Directions: Solve the following problems based on the chemical reaction below 4 Fe + 3 O2 2 Fe2O3 1. How many grams of Fe2O3 are produced when 42.7 grams of Fe is reacted? 2. How many grams of Fe2O3 are produced when 17.0 grams of O2 is reacted? 3. How many grams of O2 are needed to react with 125 grams of Fe? 76 NOTE: Practice personal hygiene protocols at all times Reflection: 1. I learned that _ _ 2. I enjoyed most on _ _ _ 3. I want to learn more on _ _ 77 NOTE: Practice personal hygiene protocols at all times References: Hill, Petrucci. General Chemistry: An integrated approach, second edition. New Jersey: Prentice Hall, 1999. https://courses.lumenlearning.com/introchem/chapter/solution-stoichiometry/ https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Modules_and_Website s_(Inorganic_Chemistry)/Chemical_Reactions/Reactions_in_Solution https://www2.chemistry.msu.edu/courses/cem151/chap3lect_2009.pdf http://www.calhoun.k12.al.us/teacherpages/teacherfiles/Stoichiometric https://iasmisserica.weebly.com/uploads/4/2/6/4/42642303/escanear0094.pdf http://www2.ucdsb.on.ca/tiss/stretton/CHEM1/stoicwk2.html https://www.murrieta.k12.ca.us/cms/lib5/CA01000508/Centricity/ModuleInstance/868 1/Stoichiometry_-_mole_to_mass.doc Prepared by: SHAROLYN T. GALURA Licerio Antiporda Sr National High School- Dalaya Annex 78 NOTE: Practice personal hygiene protocols at all times GENERAL CHEMISTRY 2 Name: _ Grade Level: Date: Score: __ LEARNING ACTIVITY SHEET Effects of Concentration on the Colligative Properties of Solutions Background Information for the Learners (BIL) Colligative properties of solutions are properties that depend upon the concentration of solute molecules or ions, but not upon the identity of the solute. Colligative properties include vapor pressure lowering, boiling point elevation, freezing point depression, and osmotic pressure. Lowering the Vapor Pressure Vapor pressure is the pressure of a vapor in thermodynamic equilibrium with ts condensed phase in a closed container. When non-volatile solute is dissolved in solvent, the vapor pressure of solvent is lowered. The presence of solute decreases the rate of escape of solvent molecules resulting to lower vapor pressure. Boiling Point Elevation The boiling point of a liquid is defined as the temperature at which the vapor pressure of that liquid equals the atmospheric pressure (760mm Hg). The addition of the solute increases the boiling point of the solution. The atmospheric pressure remains the same while the vapor pressure of the solution is lowered resulting in the increase of the difference in atmospheric pressure and vapor pressure of the solution. Therefore, a higher temperature is required to boil the solution. Freezing Point Depression Normal freezing or melting point is the temperature at which solid and liquid are in equilibrium under 1 atm. Addition of solute will decrease the vapor pressure and so will decrease the freezing point. In order for a liquid to freeze it must achieve a very ordered state that results in the formation of a crystal. If there are impurities in the liquid, i.e. solutes, the liquid is inherently less ordered. The presence of impurities in a liquid or in a substance makes variation in the 79 NOTE: Practice personal hygiene protocols at all times freezing point by making them low or high. Therefore, a solution is more difficult to freeze than the pure solvent so a lower temperature is required to freeze the liquid. Osmotic Pressure This is the external pressure that must be applied to the solution in order to prevent it being diluted by the entry of solvent via osmosis. Diffusion in liquids, substance tend to move or diffuse from regions of higher concentration to region of lower concentration. The overall effect is to equalize concentration throughout the medium. Osmosis, on the other hand is the movement of solvent particles across a semipermeable membrane from a dilute solution into concentrated solution. The solvent moves to dilute the concentrated solution and equalize the concentration on both sides of the membrane. Osmotic pressure is directly proportional to the concentration of the solution. Therefore, doubling the concentration will also double the osmotic pressure. The osmotic pressure of two solutions having the same molal concentration are identical. Learning Competency Describe the effect of concentration on the colligative properties of solutions (STEMGC11-PPIIId-f-115) Activity 1: FACT OR BLUFF Directions: Read each statement carefully. Identify whether the statement is a FACT or BLUFF. Draw on the space if it is a FACT and if it is a BLUFF. 1. Colligative properties arise from the fact that solute affects the concentration of solvent. _ 2. Vapor pressure is a colligative property. 3. Lowering of vapor pressure is not dependent on the number of species present in the solution. 4. Colligative properties of solution depend on the nature of the solute and the solvent. 5. Colligative molality is the molality times the number of solute particles per formula unit. _ 80 NOTE: Practice personal hygiene protocols at all times 6. Osmotic pressure is directly proportional to the concentration of the solution. _ 7. Relative lowering of vapor pressure is a colligative property. _ 8. The boiling point of a solution decreases in direct proportion to the molality of the solute._ 9. When non-volatile solute is dissolved in solvent, the vapor pressure of solvent is lowered. 10. The depression of the freezing point is directly proportional to the molality of the solvent. _ Activity 2: 1 PIC, 4 SENTENCES Directions: The pictures below illustrate the different effects of colligative properties to solutions. Using four (4) sentences, answer the question that each picture depicts. Write your answer on the spaces provided. 1. Why adding salt to water increases the boiling point? _ _ _ _ _ _ _ _ _ Source: https://www.thoughtco.com/thmb/Wlx0HpISUQfVc401y0XNpBdcms =/768x0/filters:no_upscale():max_bytes(150000):strip_icc():for mat( webp)/GettyImages-1166175911- 81 NOTE: Practice personal hygiene protocols at all times 2. Why does seawater have lower freezing point than pure water? _ _ _ _ _ _ _ _ _ https://www.google.com.ph/url?sa=i&url=https%3A%2F%2Ftwitter.co m%2 Fmpi_meteo%2Fstatus%2F1074242734129434624&psig=AOvVaw0l K2WkzZ 5BHXZeNI34w3fI&ust=1596870848098000&source=images&cd=vfe &ved=0 CAIQjRxqFwoTCIDOpu7EiOsCFQAAAAAdAAAAABAD 3. _ _ _ _ _ _ _ _ _ https://www.google.com/search?sxsrf=ALeKk03ZiIKudLOeyQ1ocit_OtM P6JIKQw:1596790694111Eq 4. Which sample has the lowest vapor pressure? Why? _ _ _ _ _ _ __ _ _ _ _ _ 82 NOTE: Practice personal hygiene protocols at all times 5. How can you regain the crispyness of a carrot and celery that have become limp? What colligative property is involved in the process? _ _ _ _ _ _ _ _ _ https://opentextbc.ca/chemistry/chapter/11-4colligative-properties 83 NOTE: Practice personal hygiene protocols at all times Activity 3: WHO WANTS TO BE A CHEMIST? Directions: To become a chemist and receive a score, you need to answer the question in each level. Your score increases as you go to a higher level. Compare the properties of 1.0 M aqueous sugar solution to a 0.5 M aqueous solution of NaCl. LEVEL 5 Why is vapor pressure lowering a colligative property? LEVEL 4 What is needed for a liquid to freeze? LEVEL 3 LEVEL 2 What do colligative properties of solutions depend on? What are the different colligative properties of solution? LEVEL 1 84 NOTE: Practice personal hygiene protocols at all times Reflection: 1. I learned that _ _ 2. I enjoyed most on _ _ _. 3. I want to learn more on _ _ _. 85 NOTE: Practice personal hygiene protocols at all times References Books Santos, Gil Nonato S., Danac, Alfonso C., O-Chemistry III, 2009 Mortimer Charles E., Chemistry 6th Edition Hagad, Hilda R., Phoenix Next Century Chemistry, 2003 Websites https://chem.libretexts.org https://opentextbc.ca https://www.sparknotes.com https://www.bhsu.edu Prepared by: LOVEJOICE L. AMBABAG Tuao Vocational and Technical School 86 NOTE: Practice personal hygiene protocols at all times