GENERAL CHEMISTRY WEEK 1 Introduction to Chemistry (Chemistry and Engineering) Chemistry is the study of substances, their composition, and the changes they undergo. A deep understanding of chemistry is beneficial for an engineer in choosing the design of an innovative process. a good example is the selection of materials –its availability, effects on the environment, external factors that affect the material such as temperature, light, time, etc. The Study of Chemistry The importance of Chemistry to different scientific fields and studies gave it the coined term “central science.” Therefore, it is most likely that you have seen chemistry even if you haven’t had any chemistry course. This course will help you gain an in-depth understanding of chemistry and its relation to the natural world. The appreciation of the chemical viewpoint helped engineers devise strategies in approaching the problems encountered in the application of chemistry in innovation. These viewpoints are classified into three levels of understanding: Macroscopic –immediately seen in substances and their reactions. Microscopic – focuses on the smallest unit of the system. Symbolic Perspective –allows the communication of concepts efficiently. The Macroscopic Perspective The chemical reactions seen in our environment are being observed at the macroscopic level. Matter –anything observable, occupies space, and has mass – is constantly in contact with us that its existence can easily be proved through our intuitive feel. The observable changes in matter are classified into two. Physical change does not affect a substance’s chemical properties, thus maintaining its composition. Chemical change, on the other hand, affects the chemical structure of a substance and thus, produces another substance. These changes are greatly affected by the properties of the material. Physical properties of matter are typically perceivable through the five senses, e.g., taste, odor, texture, color, and state (solid, liquid, or gas). Other properties might need instrumentation to observe, like volume, mass, density, melting point, boiling point, etc. Chemical properties of matter refer to the ability to produce another substance through different chemical reactions. Corrosivity, combustibility, flammability, and reactivity are examples of the chemical properties of matter. The Microscopic or Particulate Perspective All matter consists of atoms and molecules. It is the most fundamental concept in chemistry. Therefore, chemists consider everything as “a chemical” in a way. Most of the time, the matter we encounter is a diverse chemical mixture, and each component is a chemical substance. Elements are the building blocks of all substances of matter. Each element is made up of atoms –particles that cannot be made any smaller but still behave like a chemical system. Molecules are group of atoms held together by a force called “chemical bonds”. All matter exists as either a mixture or pure substance. Pure substances will always have the same composition while mixtures are composed of variable substances as components and can be separated into pure substances. Pure substances are either elements or compounds. Elements are substances having only one type of atom. Compounds are substances having two or more atoms of different elements. Mixtures occur as either homogeneous (uniform in appearance) or heterogeneous (different distinguishable parts). A homogeneous mixture is often referred to as solution. Heterogeneous mixture is classified into either a suspension or colloid. Symbolic Representation Symbolic representation uses symbols to represent atoms, molecules, composition, and reaction. This viewpoint gives way for the discussion of most of the THE BOOK LOUNGE PH| 1 abstract aspects of chemistry. This level of understanding is fundamental in the interaction of ideas at the particulate level. Numbers and Measurements Observation is significant in scientific processes. A qualitative observation is made by looking at the perceivable properties using the five senses -color, taste, odor, etc. A quantitative observation is made by looking at the measurable properties of a substance, thus the term measurement. Numbers and Significant Figures Measurements could either be very small or very large. In these cases, scientific notation is helpful. Scientific Notation factors out all powers of ten and writes separately. Large numbers use positive, while small numbers use negative powers of ten. Significant figures give a reliable amount of information derived from observations. Prefixes Used in SI System Measurement is an integral part of our daily lives. Most of the processes we carry throughout the day are measured. Utilities like water and electricity use measurements to provide services. The construction sector also uses measurement to carry out projects and plans for innovation and development. Measurements are made with the use of measuring devices. Each measurement consists of a number and unit. Units Comparative Scale of Macro, Micro, and Nanoscale Unit defines the scale or standard used to represent the results of a measurement. Units are used to determine the standards followed relevant to other measurements. Units are always determined and uniform. This is to provide stability across the system. If each scientist has their own way of determining units of measurement, it will be complete chaos. Standard systems are present and used around the world. However, there are different systems adopted. Two of the most widely used are the English system -used in the United States and Metric System -preferred in the industrial sector. In scientific fields, the metric system is the unit of choice. A comprehensive system of units was established in the 1960s. This is the International System (SI) -le Système Internationale in French. READING MATERIALS GENERAL CHEMISTRY CM1: MATTER AND ITS PROPERTIES Phases of Matter As we recall our high school chemistry, matter is anything that can occupy space and has mass. Matter can undergo phase changes, which is an example of physical change. Phases of matter, namely solid, liquid and gas, can be differentiated based on these properties: Solids: with fixed shape due to particles being closed together. They are incompressible and slightly expand when heated Liquids: have particles that are moving slightly in random motion. Liquids are slightly compressible, can flow, and copies the shape of their container THE BOOK LOUNGE PH| 2 Gas: have particles moving randomly and far apart. Gases have low density, can flow and copies the shape of their container, just like liquids Particle: an entity that comprises matter. These are molecules, atoms and respective sub-atomic particles. GENERAL CHEMISTRY CM2: CLASSIFICATION OF MATTER Mixtures Mixtures are defined as a physical combination of matter, which the matter components can be distinguish individually (Ilao et. al, 2016). Mixtures can be separated easily. We will be discussed later on different separation techniques in this Course Material. Properties of Matter Mixtures can be classified based on two categories: 1. Physical property: can be observed and measured without changing the identity and composition of the substances Example: freezing point, color, state/phase of matter. 2. Chemical property: ability of a substances to undergo changes, which produce another substance Example: flammability. Based on these following properties, which does not belong to the group: · Luster (ability to reflect light) · Combustibility (ability to burst into flames due to a chemical reaction). · Rusting (ability to form rust). 3.Extensive property: property that depends on the amount of matter present. 4. Intensive property: opposite of extensive property; does not depend on the amount of matter, but on the nature of the matter Here are some examples of extensive and intensive properties: Extensive Property Intensive Property · Mass · Boiling point · Volume · Melting point · Amount of energy in a · Conductivity (ability to substance conduct electricity) · Heat capacity. · Density (mass per volume) Key points: Density is the ratio of mass and volume, two of the extensive property mentioned. But, density is unique to every substance and stays constant even the amount of substance is increased. Therefore, density is intensive property. Heat capacity describes as the amount of energy required to increase the temperature of a certain substance by 1 Kelvin. It is extensive property because heat capacity increases as the amount of matter increases. Heterogenous mixture: the compositions of these mixtures are not uniform, and can be observed with our eyes or with the use of microscope. Such example of these mixtures are the food dishes we eat, milk and blood. Homogenous mixture: the composition of these mixture is uniform in appearance. This uniformity is due to the molecular/atomic level size of the individual components, which is very small to be seen. Usual examples of homogenous mixtures are solutions with water as solvent, which are called “aqueous solutions.” Another example of homogenous of mixture is air, which is composed of mixture of different gases and particles. In solution, we describe the following: Solute: the substance that was dissolved by the solvent. Solvent: substance that dissolves the solute. Separation Techniques for Mixtures One of the properties of mixtures is their components can be easily separated to each other. Here are some of the separatory techniques used in the laboratory to separate mixtures: 1.Evaporation: used to separate solutions/homogenous mixtures, given there is a soluble solid (solute) from a liquid. Liquid is evaporated in this process, leaving the solid (solute) in the set-up 2. Filtration: used to separate heterogenous mixtures, which composes an insoluble solid from a liquid. 3.Chromatography: used for separating different substances with different solubility to a given solvent (examples are pigments and dyes). Based on figure 2, some substances travel further up the paper (chromatogram) because they are more soluble to the solvent. 4. Simple Distillation: used for separating mixture with different boiling points or separating volatile liquid from non-volatile liquid (Ilao et. al, 2016). Liquid components are separated by evaporating and condensing the volatile liquid (distillate) in the set-up. 5. Decantation: used for separating heterogenous mixtures with different density. Separation of mixtures occurs with the help of gravity (Berk, 2009). For liquids, decantation occurs with the help of separatory funnel. THE BOOK LOUNGE PH| 3 6. Centrifugation: like decantation, this is used for separating heterogenous mixtures with different density, but with the help of centrifugal forces created by the centrifuge machine (Berk, 2009). This is used to separate blood components. the measurement values and their calculations. Significant figures in the measurement reading consist of all known/certain digit plus one uncertain/estimated digit. Pure Substances - Unlike mixture, pure substances can be separated by chemical means. Pure substances have fixed and characteristic elemental composition and properties. Types of pure substance: 1. All nonzero digits are ALWAYS significant. Examples: - 274 -- 3 sig. fig. - 25.632 -- 5 sig. fig. Element: simplest type of matter, which consist of one type of atom only. Elements can be classified into the following. ➢ Metals: usually shiny, malleable substance and good conductor of electricity and heat. Metals usually gives electrons to non-metals when forming ionic compounds. ➢ Non-metals: usually gases or brittle solids. Nonmetals are poor conductor of electricity and heat. Most non-metals gain electrons from metals when forming ionic compounds, and tend to share electrons when forming covalent compounds. ➢ Metalloids: have properties of metals and nonmetals. Metalloids in periodic table can be found at the staircase line. 2. All zeros between significant digits (captive) are ALWAYS significant. Example: - 1.008 has 4 significant figures. Compounds: pure substances, which composed of two or more elements combined in fixed parts by mass. Compounds have different properties from its element components. Rules in Evaluating Significant Figures. 3. Leading zeroes before all the nonzero digits DO NOT count as significant figures. Example: - 0.0025 mL has 2 s.f. 4. All FINAL/TRAILING zeros to the right of the decimal ARE significant. Example: - 105.0020 has 7 s.f. - 100 has 1 s.f. 5.All zeros that act as place holders are NOT significant. Example: - 320 (place holder: ones place) • 0.025 (place holder: ones, tenths place) ➢ Ionic compound: composed of opposite charged ions. Bonds formed within this compound is due to the give and take of electrons ➢ Covalent compounds: composed of elements with bond formed due to sharing of electrons. Usually composed of non-metal elements Ions: composed of one (monoatomic) or more (polyatomic) elements, which exhibit charges due to the excess or lack of electrons. ➢ Cations: gives electrons to the anions; positive charge ions. ➢ Anions: gains electron from cations; negatively charge GENERAL CHEMISTRY CM3: SIGNIFICANT FIGURES AND SCIENTIFIC NOTATION Significant Figures Different measurement devices have different levels of uncertainty due to their limitation of their measurement capabilities. In science, we compensate with the different accuracies by noting significant figures (sig. fig. or s.f.) of Fig. 1: Types of zeroes in a certain number. Rules in Finding Significant Figures in Calculations What is the sum of 20.5, 200.5, 9.756 and 9.00009? If our final answer should be 239.5, what rule/s regarding significant figures can we infer from the calculation? 1. Rule for Addition and Subtraction Calculations: Round the calculated answer so that it contains the same number THE BOOK LOUNGE PH| 4 of decimal places as the measurement with the least number of decimal places (LNDP) 3. In converting back from scientific notation to decimal notation/number, you need to reverse back the movement of decimal places. What is the area of the rectangle with 14 units width and 25.056 length? Solution: 𝐴𝑟𝑒𝑎=𝑙 ×𝑤 𝐴𝑟𝑒𝑎=14 𝑢 ×25.056 𝑢 𝐴𝑟𝑒𝑎=350.784 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡𝑠 ≈350 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡𝑠 (2 sig fig) When rounding off numbers: · If the digit following the last significant digit is 0 to 4, drop the non-significant digit/s on the right and leave the remaining digit unchanged. · If the digit following the last significant digit is 5 to 9, round up the last significant digit and drop the nonsignificant digit/s on the right. 2. Rule for Multiplication and Division Calculations: Round the calculated answer so that it contains the same number of significant figures as the measurement with the least number of significant figures (LNSF). Note: In considering significant figures always round up numbers after calculations, not in between calculations. Scientific Notation In science, some values can be too large to be written out. For example, one mole of carbon atom is equal to 602 000 000 000 000 000 000 000 carbon atoms. Such long values need to be shortened with the use of exponential/ scientific notation. Guidelines: 1. Move decimal point until there is a single digit to its left. Include all significant digits based on the number so significant values Post Test: How many significant figures are there in the following values or final answers for calculations? 1. 7.5000 m – 5 sig. fig. 2. 0.0040 km – 2 sig. fig. 3. 10.0340 g + 0.003874g – 6 sig. fig. 4. 23.567 moles ÷ 1.26 L – 3 sig. fig Convert the following from numbers/decimal to scientific notation and vice-versa. 1. 2,400,000 ug – 2.4 x 106 ug 2. 0.00256 kg – 2.56 x 10-3 kg -5 3. 7 x 10 km – 0.00007 km 4. 6.2 x 104 mm – 62,000 mm GENERAL CHEMISTRY CM3: THE LAWS OF MATTER AND THE WORLD OF ATOMS Laws of Matter and the Atomic Theory John Dalton first introduces the Atomic Theory in 18031807. This theory will give us insight on how atoms and elements interact in the chemical reaction. Natural Laws exist already in the universe. It’s for us scientist to observe these laws. Dalton’s Atomic Theory 2. Add “x 10n” where n will represent how many time you move the decimal places until you reach a number with single digit on the left. Take note that the value of n will be positive if you move the decimal point to the left, while value of n will be negative if you move the decimal to the right. THE BOOK LOUNGE PH| 5 From here, we can identify different laws of matter, which helps Dalton formulate the atomic theory: 1. Law of Conservation of Mass: states that “matter can be neither created or destroyed by chemical means.” In a chemical reaction, the total mass of the substances before reaction is equal to the total mass of the substances formed after the reaction. 2. Law of Definite Proportion: states that in a given compound, there’s always be the same proportions/ratio by mass of its elemental components. atoms), and mass number (A) is the sum of protons and neutrons in a certain element Fig. 4: Atomic notation and how they were determined. Isotopes of a certain element have the same atomic number, but different mass number- basically, different number of neutrons. Most elements in the periodic table have naturally occurring isotope. For example, carbon has three naturally occurring isotopes, Carbon-12, Carbon-13 and Carbon-14. Isotopes almost have an identical chemical behavior. Fig. 2: Image of John Dalton appeared at the down left corner. 3. Law of Multiple Proportion: “If two elements A and B combine to form more than one compound, the masses of B that can combine with a given mass of A are in the ratio of small whole numbers.” This law is best shown with compounds that contain same elements, but different subscripts. For example, water (H2O) and hydrogen peroxide (H2O2). View of the Atomic Structure Dalton first describes atoms as indestructible part of matter. But later advancement in the studies of atom prove Dalton’s notion of indestructible atom wrong due to the discovery of the sub-atomic particles. To accommodate the naturally occurring isotopes, we need to determine the relative abundance of each isotopes in the element’s mass. This derived mass is called atomic weight/mass (amu), which is stated in our periodic table. Example: Carbon has two stable isotopes. Compute for the average atomic mass of carbon. Answer: 12.0110 amu This value can be also seen in your periodic table. Solve: Determine the Average Atomic Mass (in amu) of Nitrogen with the given isotopes and their relative abundance. Two of the sub-atomic particles, protons and neutron, is located in the atom’s nucleus. The mass of the atom is concentrated to its nucleus (mass number in the periodic table is the sum of number of protons and neutrons). Electrons, on the other hand, are circling around the nucleus of the atom. Electrons maintain their movement around the nucleus with the constant attraction from the protons in the nucleus. Usually, elements have no charge (neutral) due to the equal number of protons to electrons. Elements and their Isotopes In the periodic table, each element is arranged in increasing atomic number. Based on figure 4, atomic number (Z) pertains to the number of protons of a certain element (and number of protons if neutral charged GENERAL CHEMISTRY CM5: ELEMENTS AND PERIODIC TRENDS From protons and neutron, we will focus more to the negative charged subatomic particle, electron. As you will observe in our discussion, the difference in the electron arrangement in atoms can be correlated to the different physical and chemical characteristics of the elements. We can determine the maximum number of electrons per principal energy level using the “2n2” rule. Ex. If n=4, the maximum electron for 4th energy level is 2(4)2= 32 electrons THE BOOK LOUNGE PH| 6 Electron Configuration 1. Principal Energy Level (n): pertains to the distance of electron to the nucleus. The higher the principal energy level, the farther the electron to the nucleus. In the periodic table, this refers to the period number. 2. Valence Electrons: electrons that are in the outermost shell and involved in the formation of bonds in a compound. 3. Sublevel orbitals (l): this describes the shape of the electron orbital (denoted as “s”, “p”, “d”, “f”). There are limited number of electrons occupying in a sublevel. s-orbital: 2 ed-orbital:10 ep-orbital: 6 ef-orbital:14 eElectron configuration of different elements can be represented in three ways. Two of these are given in Table 1: 1. Full Electron Configuration: configuration with fully written energy levels (n), sublevels (l) and number of electrons (represented in superscript). 2. Condensed Electron/ Noble Gas Configuration: shortened electron configuration, which some part of the configuration is replaced by the respective noble gas. Take note that the replaced configuration should be corresponding to the given noble gas. Atomic number of phosphorous is 15, therefore number of electrons are also 15 (neutral atom). 2. Second, take note of the sequence of the sublevel based on the diagonal rule and the number of electrons that each sublevel can accommodate. Electrons are placed as a superscript of orbitals. The total value of superscripts must be equal to the number of electrons of the given element. Maximum number of electrons per orbital: s-orbital: 2 ed-orbital:10 ep-orbital: 6 ef-orbital:14 eExample: Phosphorous (Atomic number:15) Following the diagonal rule (Check the total of superscripts.) 1s2 2s2 2p6 3s2 3p3 3. You may shorten the configuration using noble gas configuration with the corresponding noble gas before the element. Replaced the corresponding noble gas to its electron configuration. Example: Phosphorous (Atomic number:15) Full electron configuration: [1s2 2s2 2p6]3s2 3p3 Noble gas configuration: [Ne]3s2 3p3 Atomic Properties Trends in Periodic Table Atoms in the periodic table may manifest different characteristics due to the attraction and repulsion (electrostatic interaction) of different sub-atomic particles within the atom). These attraction and repulsion effects are the following: 1. Effective nuclear charge attraction: attraction of electron towards the nucleus due to the protons. The higher the number of protons, the greater the effect of the attraction. 2. Electron shielding effect: this describes the weakening of the effective nuclear charge farther the nucleus, which will heighten the repulsion of the core (inner) and valence/outer electrons. Atomic Properties and Trends: Writing Electron Configuration The writing for the full electron configuration is based on the diagonal line rule (see figure 1). Fig. 1: Diagonal rule for writing electron configuration. Example: Write the full electron configuration of Phosphorous (neutral atom). 1. First, take note of the number of electrons of phosphorous. 1. Atomic Size (Atomic Radius): atomic size is measured based by the distance of two bonded molecule with the same element or two adjacent atoms. Trend: · Increasing from top to bottom of periodic table due to the increasing energy levels. Increasing energy level will result to larger atomic radius (increased energy shell). 2. Ionization Energy: pertain to the energy needed to remove an electron from the atom. The greater the ionization energy, the harder to remove electron from its atom (Brown et. al.,2012). THE BOOK LOUNGE PH| 7 Trend (for first ionization energy): · Increasing from left to right of periodic table due to the increasing effective nuclear charge, making the electrons harder to remove (requires high energy to remove). · Decreasing from top to bottom of periodic table due to the weak effective nuclear charge and stronger electron shielding in increasing energy levels. This makes the outer electron easier to remove, which means lower ionization energy. 3. Electron Affinity: this characteristic refers to the energy release/absorbed when accepting electron to form negative ion. The more energy is released, the more stable the ion formed). Trend: · Increasing magnitude from left to right of periodic table due to the increasing effective nuclear charge. Atoms with higher effective nuclear charge can make a stable negative ion when electron was added. · Decreasing magnitude from top to bottom of periodic table because larger atoms have weaker effective nuclear charge, which decreases its tendency to accept electrons. For the reported values of electron affinity: · negative value means that energy was released. · positive value when energy was absorbed/needed during the reaction. Take note that in electron affinity, electron is added to atom. While in ionization energy, electron is being removed. 4. Electronegativity: measures the ability of the element to attract two electrons when bonded to another atom. The higher the value, the more the atom can attract pair of electrons. This property is relevant in bonding formation. Trend: · Increasing from left to right of periodic table due to the increasing effective nuclear charge. High effective nuclear charge can highly attract the pair of electrons being shared. · Decreasing from top to bottom of periodic table due to the weak effective nuclear charge and increasing electron shielding effect. This will cause less attraction to the shared/bonded electron Post Test: Arrange the following elements base on the following: a. Mg, F, Hg (decreasing atomic size) b. Sr, Ge, I (increasing electron affinity) c. K, Au, Po (from high to low ionization energy) d. Cl, Tc, Fr (from low to high electronegativity). Answers: a. Hg, Mg, F b. Ge, Sr, I c. K, Po, Au d. Fr, Tc, C INTERVENTION TO CHEMISTRY WEEK 2 READING MATERIALS LESSON: Atomic Theory and Structure • Fundamental Chemistry Laws Law of Conservation of Mass Mass is neither created nor destroyed in a chemical reaction. Law of Definite Proportion Different pure samples of a compound always contain the same elements in the same proportion by mass; this corresponds to atoms of these elements combined in fixed numerical ratios. Law of Multiple Proportions Different compounds made up of the same elements differ in the number of atoms of each kind that combine. Dalton’s Law of Atomic Theory - The postulates.... - All matter consists of atoms. - Atoms of one element cannot be converted into atoms of another element. - Atoms of an element are identical in mass and other properties and are different from atoms of any other element. - Compounds result from the chemical combination of a specific ratio of atoms of different elements. ATOM - is the basic unit of an element that can enter into chemical combination. Components of Atom • Electron (e-) – negatively charged particle • Mass of electron = 9.11x10-31 kilogram • Nucleus – contains all the positive charge and essentially all the mass of the atom. • Nucleus - consists of protons and neutrons • Protons (p+) – positively charged particle located inside the nucleus • Neutrons (n0) – uncharged dense particles located inside the nucleus Components of an Atom 𝑨 𝒁𝑿 − 𝑠𝑦𝑚𝑏𝑜𝑙 𝑜𝑓 𝑎𝑡𝑜𝑚 𝑜𝑟 𝑖𝑠𝑜𝑡𝑜𝑝𝑒𝑠 X – atomic symbol of the element Z – atomic number Z – number of protons A – mass number THE BOOK LOUNGE PH| 8 𝐴 = 𝑍 + 𝑛0 • An atom is an electrically neutral, spherical entity composed of a positively charged central nucleus surrounded by one or more negatively charged electrons. • The magnitude of charge possessed by a proton is equal to that of an electron, but the signs of the charges are opposite. Components of an Atom 𝑨 𝒁𝑿 − 𝒔𝒚𝒎𝒃𝒐𝒍 𝒐𝒇 𝒂𝒕𝒐𝒎 𝒐𝒓 𝒊𝒔𝒐𝒕𝒐𝒑𝒆𝒔 • Z = number of protons (p+) • A = mass number Atomic Mass (Atomic Weight) – average of the masses of its naturally occurring isotopes weighted according to their abundances. Silicon (Si) is essential to the computer industry as a major component of semiconductor chips. It has three naturally occurring isotopes: 28Si, 29Si, and 30Si. Determine the number of protons, neutrons, and electrons in each silicon isotope. The atomic number of silicon is 14. Therefore 28 Si has 14p+, 14e- and 14n0 (28 – 14 = 14) Si has 14p+, 14e- and 15n0 (29 – 14 = 15) 30Si has 14p+, 14e- and 16n0 (30 – 14 = 16) 𝒏𝟎 𝑨=𝒁+ 𝑨 = 𝒑+ + 𝒏𝟎 29 • For atom (#protons = #electrons) 𝒑+ = 𝒆− Example • For Na (sodium), it has mass # of 23; it contains 11 protons, 11 electrons, and 12 neutrons • For He (helium), it has mass # of 4; it contains 2 protons, 2 electrons, and 2 neutrons • For Al (aluminum), it has mass # of 27; it contains 13 protons, 13 electrons, and 14 neutrons Sample Problems 𝟏𝟗 𝟗𝑿 𝟐𝟑 𝟏𝟏𝑵𝒂 𝑋=𝐹 𝐴 = 19 𝑍=9 𝑒− = 9 𝑝+ = 9 𝑛0 = 10 𝑋 = Na 𝐴 = 23 𝑍 = 11 𝑒− = 11 𝑝+ = 11 𝑛0 = 12 𝟖𝟎 𝟑𝟓𝑩𝒓 𝟕𝟓 𝟑𝟑𝑨𝒔 𝑋 = Br 𝐴 = 80 𝑍 = 35 𝑒− = 35 𝑝+ = 35 𝑛0 = 45 𝑋 = As 𝐴 = 75 𝑍 = 33 𝑒− = 33 𝑝+ = 33 𝑛0 = 42 𝟑𝟗 ______ 𝟐𝟕 _______ 𝑋 = __ 𝐴 = 39 𝑍 = __ 𝑒− = __ 𝑝+ = 19 𝑛0 = __ 𝑋 = __ 𝐴 = 27 𝑍 = __ 𝑒− = __ 𝑝+ = __ 𝑛0 = 14 Try these: Isotopes -atoms of an element with the same number of protons, but a different number of neutrons Silver (Ag: Z = 47) has 46 known isotopes, but only two occur naturally, 107Ag and 109Ag. Given the following mass spectrometric data, calculate the atomic mass of Ag: 𝐴𝑡𝑜𝑚𝑖𝑐 𝑚𝑎𝑠𝑠 𝐴𝑔 = 55.4195+52.4485 𝑨𝒕𝒐𝒎𝒊𝒄 𝒎𝒂𝒔𝒔 𝑨𝒈 = 𝟏𝟎𝟕.𝟖𝟔𝟖 𝒂𝒎𝒖 Cations IONS – contains charge. Either positive or negative charge CATION – ion that contains positive charge. It tends to lose electron. Example: • 𝑵𝒂+𝟏 = sodium ion loses 1 electron due to +1 as its charge. • 𝑴𝒈+𝟐 = magnesium ion loses 2 electrons due to +2 as its charge. • 𝑨𝒍+𝟑 = aluminum ion loses 3 electrons due to +3 as its charge Anions IONS – contains charge. Either positive or negative charge ANION - ion that contains negative charge. It tends to gain electron. Example • 𝑭−𝟏 = fluorine ion gains 1 electron due to -1 as its charge. • 𝑶−𝟐 = oxygen ion gains 2 electrons due to -2 as its charge. • 𝑵−𝟑 = nitrogen ion gains 3 electrons due to -3 as its charge Note: The mass #, # protons, and # neutrons will not change for the ions. The only thing that will change for the ion is the # of electrons. For Ions: • Atomic number (Z) = # protons (#p+) • Mass # (A) = # protons (#p+) + # neutrons (#n0) • # neutrons (#n0) = Mass # (A) - # protons (#p+) THE BOOK LOUNGE PH| 9 • # protons (#p+) = Mass # (A) - # neutrons (#n0) • Ex. CI-1 ion 𝟑𝟓 -1 𝟏𝟕𝑪𝒍 Number of electrons for ions #𝒆𝒍𝒆𝒄𝒕𝒓𝒐𝒏𝒔 = 𝒂𝒕𝒐𝒎𝒊𝒄 𝒏𝒖𝒎𝒃𝒆𝒓 𝒁 −𝒄𝒉𝒂𝒓𝒈𝒆 OR #𝒆𝒍𝒆𝒄𝒕𝒓𝒐𝒏𝒔 = #𝒑𝒓𝒐𝒕𝒐𝒏𝒔 (#𝒑+) – 𝒄𝒉𝒂𝒓𝒈𝒆 Examples 𝑋 𝐴 𝑍 # 𝑝+ # 𝑒− # 𝑛0 Charge Cation/Anion/Atom CI 35 17 17 18 18 -1 Anion LESSON: Electron Configuration and Effect of Nuclear Charge Electron configuration – distribution of electron of an atom in atomic orbitals. Examples: • Ex. O-2 ion 𝟏𝟔 -2 𝟖𝑶 𝑋 𝐴 𝑍 # 𝑝+ # 𝑒− # 𝑛0 Charge Cation/Anion/Atom • O 16 8 8 10 8 -2 Anion Ex. Na+1 ion 𝟐𝟑 +1 𝟏𝟏𝑵𝒂 𝑋 𝐴 𝑍 # 𝑝+ # 𝑒− # 𝑛0 Charge Cation/Anion/Atom • Na 23 11 11 10 12 +1 Cation Ex. Ba+2 ion 𝟏𝟑𝟕 +2 𝟓𝟔𝑩𝒂 𝑋 𝐴 𝑍 # 𝑝+ # 𝑒− # 𝑛0 Charge Cation/Anion/Atom Ba 137 56 56 54 81 +2 Cation Categories of Electrons • Inner (core) electrons - are those seen in the previous noble gas and any completed transitions series. They fill all the lower energy levels of an atom. • Outer electrons - are those in the highest energy level (highest n value). They spend most of their time farthest from the nucleus. • Valence electrons - are those involved in forming compounds. Among the main group elements, the valence electrons are the outer electrons. Nuclear Charge Effect •Effect of Nuclear Charge - a higher nuclear charge (more protons in the nucleus) increases nucleus electron attractions and, thus, lowers sublevel energy (stabilizes the atom). • Shielding ability of inner electrons to lessen nuclear attraction for an outer electron • Effective Nuclear Charge - the nuclear charge an electron actually experiences with shielding, and this lower nuclear charge makes the electron easier to remove. THE BOOK LOUNGE PH| 10 Penetration the process by which an outer electron moves through the region occupied by the core electrons to spend more of its time near the nucleus; increases average effective nuclear charge for that electron. Key Points • Greater nuclear charge lowers orbital energy and make electrons harder to remove • Electron - electron repulsion raise orbital energy and make electrons easier to remove. Repulsions have the effect of shielding electrons from the full nuclear charge, reducing it to an effective nuclear charge. Inner electrons shield outer electrons most effectively. • Greater penetration makes an electron harder to remove because it is attracted more strongly and shielded less effectively. As a result, an energy level (shell) is split into sublevels (subshells) with the energy order s<p<d<f. ENERGY LEVEL AND SUBSHELLS Orbital Diagram A notation that shows how many electrons an atom has in each of its occupied electron orbitals. HOW TO WRITE ELECTRON CONFIGURATION 1st Determine the number of electrons of an atom using the atomic number. Use the diagram of electron configuration. Follow the arrow in the said diagram. 2nd Always start with 1s? followed by 252 then 2p53s? and so on... 3rd NOTE: Add all the superscripts in the electron configuration, make sure that the sum should be equal to the number of electrons or atomic number of a given element/atom. ELECTRON CONFIGURATION Isoelectronic Series Write the electron configuration of Na+, F-, and Ne THE BOOK LOUNGE PH| 11 Metals, Nonmetals, and Metalloids •Group 1A (H, Li, Na, K, Rb, Cs, Fr) has 1 valence electron (v.e-. = 1e-) •Group 2A (Be, Mg, Ca, Sr, Ba, Ra) has 2 valence electrons (v.e-. = 2e-) •Group 3A (B, Al, Ga, In, Tl) has 3 valence electrons (v.e-. = 3e-) •Group 4A (C, Si, Ge, Sn, Pb) has 4 valence electrons (v.e-. = 4e-) •Group 5A (N, P, As, Sb, Bi) has 5 valence electrons (v.e-. = 5e-) •Group 6A (O, S, Se, Te, Po) has 6 valence electrons (v.e-. = 6e-) •Group 7A (F, Cl, Br, I, At) has 7 valence electrons (v.e-. = 7e-) •Group 8A (Ne, Ar, Kr, Xe, Rn, except He) has 8 valence electrons (v.e-. = 8e-) LESSON: Periodic Table and Periodic Trends Periodic Trends Atomic Radius – size of the atom • Ionization Energy - Energy required to remove an electron from a gaseous atom or ion. • Electron Affinity - Energy change associated with the addition of an electron to a gaseous atom. • Electronegativity - The ability of an atom in a molecule to attract shared electrons to itself. Atomic Radius Ionization Energy Periodic Table Mendeleev is given the most credit for the current version of the periodic table. Originally constructed to represent the patterns observed in the chemical properties of the elements Electron Affinity THE BOOK LOUNGE PH| 12 Electronegativity Magnetic Quantum Number (ml) • It is an integer from -l through 0 to +l • It prescribes the orientation of the orbital in the space around the nucleus and is sometimes called the orbitalorientation quantum number. • An orbital with l = 0 can have only ml = 0. However, an orbital with l=1can have any one of three ml values, -1, 0, or +1; thus, there are three possible orbitals with l = 1, each with its own orientation. Hierarchy of Quantum Numbers for Atomic Orbitals Problem • Arrange the following elements in increasing atomic radius, ionization energy, and electron affinity. B, Cs, K, F, O, Na 𝐴𝑅: 𝐹 < O < B < Na < K < Cs 𝐼𝐸: 𝐶𝑠 < K < Na < B < O < F 𝐸𝐴: 𝐶𝑠 < K < Na < B < O < F Problem Arrange the following elements in decreasing atomic radius, ionization energy, and electron affinity. N, F, C, Fr, Rb, Be 𝐴𝑅: Fr > Rb > Be > C > N > F 𝐼𝐸: F > N > C > Be > Rb > Fr 𝐸 𝐴: F > N > C > Be > Rb > Fr Problem • Which has the lowest electronegativity? F, Rb, B, K, N 𝑨𝒏𝒔𝒘𝒆𝒓: 𝑹𝒃 LESSON: Quantum Numbers and Orbitals Quantum Numbers Principal Quantum Number (n) • It is a positive integer (1, 2, 3, 4, 5, 6, 7, ...) • It indicates the relative size of the orbital, and it specifies the energy level Angular Momentum Quantum Number (l) • other term is Azimuthal Quantum Number • It is an integer from 0 to n-1. • It is related to the shape of the orbital and is sometimes called the orbital-shape quantum number. • Note that the principal quantum number; that is, n limits l. • For an orbital with n = 1, l can have a value of only 0. For orbitals with n = 2, l can have a value of 0 or 1; for those with n = 3, l can be 0, 1, or 2 Level and Sublevel The energy states and orbitals of the atom are described with specific terms and associated with one or more quantum numbers: 1. Level - the atom's energy levels, or shells, are given by the n value: the smaller the n value, the lower the energy level and the greater the probability of the electron being closer to the nucleus. 2. Sublevel - the atoms' levels contain sublevels, or subshells, which designate the orbital shape. Each sublevel or subshell has a letter designation l = 0 is a s sublevel (s = sharp) l = 1 is a p sublevel (p = principal) l = 2 is a d sub level (d= diffuse) l = 3 is a f sublevel (f = fundamental) Orbitals 3. Orbital - each allowed combination of n, l, ml values specify one of the atom's orbitals. Thus, the three quantum numbers that describe an orbital express its size (energy), shape, and spatial orientation. • A 2s sublevel has only one orbital, and its quantum numbers are n = 2, l = 0. • A 3p sublevel has three orbitals, and its quantum numbers are n = 3, l = 1 • A 3d sublevel has five orbitals, and its quantum numbers are n = 3, l = 2 THE BOOK LOUNGE PH| 13 Quantum Numbers n l ml Energies 1 < 2 < 3 < 4.... s<p<d<f Orbitals in the same subshell have equal energies Subshell S P D F Maximum Electrons Per Subshell 2 6 10 14 Quantum Numbers Electron-Spin Quantum Number (ms) • has values of either +1/2 (arrow up) or -1/2 (arrow down) • each electron in an atom is described completely by a set of four quantum numbers: the first three describe its orbital, and the fourth describes its spin. • Note: Each orbital can hold a maximum of two electrons (+1/2 if one electron or unpaired; -1/2 if two electrons or paired). • Pauli Exclusion Principle - in a given atom no two electrons can have the same set of four quantum numbers. • Aufbau Principle - The orbitals of an atom must be filled up in increasing energy levels. • Hund’s Rule - The most stable arrangement of electrons in subshells is the one with more parallel spins. INTERVENTION TO CHEMISTRY WEEK 3 READING MATERIALS • In forming chemical bonds, main group elements gain, lose, or share electrons to achieve configuration in which they are surrounded by eight valence electrons Types of Chemical Bond Types of Chemical Bonds 1. Metal with nonmetal: electron transfer and ionic bonding 2. Nonmetal with nonmetal: electron sharing and covalent bonding 3. Metal with metal: electron pooling and metallic bonding Ionic Bond - Chemical bond resulting from the transfer of electrons from one bonding atom to another. - In an ionic bond, the positively charged ion (cation) is attracted to negatively charged ion (anion) - Static electrical attraction is the basis for ionic bonds. LESSON: CHEMICAL BONDING Chemical Bond • Attractive force between two atoms holding them together to form a molecule or a chemical compound • Forces that link together atoms to form different kinds of matter Duet Rule • Hydrogen forms stable molecules where it shares two electrons. Octet Rule • Elements form stable molecules when surrounded by eight electrons. THE BOOK LOUNGE PH| 14 Ionic Bond Ionic Compounds • compound of positive and negative ions combined so that the charges are neutralized • NaCl, Fe2O3 Covalent Bond - Formed by a shared pair of electrons between two atoms - Chemical bond formed when valence electrons are shared by nonmetal elements Ionic Bond • Ionic bonding occurs when ions assemble into an extended array called a lattice and are held together by the attraction between oppositely charged ions. Types of Covalent Bond based on Bond Polarity Nonpolar covalent bond Polar covalent bond Nonpolar Covalent Bond A bond that has an even distribution of charge due to an equal sharing of bonding electrons Insert pic Polar Covalent Bond • A bond that has uneven distribution of charge due to unequal sharing or bonding electrons • A chemical bond between two atoms that have different electronegativities, such that one end of the bond takes on a partial positive charge and the other end takes on a partial negative charge and constitute a dipole Ionic Bond • The valence electrons for Na and O which are located in a partial orbital diagram are shown below. Electrostatic forces and the reason ionic compounds crack. Electrical Conductance Bond Polarity • due to difference in electronegativity of atoms • If the electronegativity difference is zero, the bond is classified as nonpolar covalent. • The greater the electronegativity difference, the more polar the bond. • When the electronegativity difference greater than or equal to 2.0, the bond is classified as ionic. Electronegativity Ionic Character ΔEN ≥ 2.0 0.4 – 1.9 < 0.4 0 IONIC CHARACTER Mostly ionic Polar Covalent Mostly covalent Non-polar Covalent Examples C – O: • EC = 2.5; EO = 3.5 ΔEN = |3.5 – 2.5| = 1.0 (Polar) Na – Cl • ENa = 0.9; ECl = 3.0 ΔEN = |3.0 – 0.9| = 2.1 (Ionic) THE BOOK LOUNGE PH| 15 F–F • EF = 4.0 ΔEN = |4.0 – 4.0| = 0.0 (Non-Polar) P – Br • EP = 2.1; EBr = 2.8 ΔEN = |2.8 – 2.1| = 0.7 (Polar) TRY THESE! N-O • E = 3.0; E, = 3.5 AEN = 13.5 -3.0| = 0.5 (Polar) Bond Energy • The energy released when isolated atoms form a covalent bond • The amount of energy required to break a bond (Bond dissociation energy) • A measure of the strength of chemical bond • Triple bond is stronger than double bond • Double bond is stronger than single bond Ba - F • EBa = 0.9; Ef = 4.0 DEN = (4.0-0.9) = 3.1 (lonic) N-N • E== 3.0 AEN = 13.0 -3.0| = 0.0 (Non-Polar) Types of Bonds Based on the number of electron pair shared • Single bond • Double bond • Triple bond Single Bond • A covalent bond in which two atoms share one pair of electrons. Double Bond • A covalent bond in which two atoms share two pairs of electrons. Triple Bond • A covalent bond in which two atoms share three pairs of electrons. N=N Bond Length • The distance between the nuclei of the bonded atoms • Single bond is longer than double bond • Double bond is longer than triple bond Bond Order the number of electron pairs shared between two atoms in the formation of the bond PROBLEM: Rank the bonds in each set-in order of decreasing bond length and bond strength or bond energy: C = O, C─O, C O SOLUTION: Bond length: C─O > C = O > C O Bond strength: C O > C = O > C─O Covalent Compounds • Compound that has atoms held together by covalent bond • Always involve two nonmetals • Examples: CO2, O2, CH4 Single Bond • Bond Order = 1 Double Bond • Bond Order = 2 Triple Bond • Bond Order = 3 THE BOOK LOUNGE PH| 16 Metallic Bonding Metallic: sharing by forming a mobile “sea of electrons” Positively charged metal nuclei arranged in a lattice. Electrons move, more or less, freely throughout the whole lattice. Free movement allows metals to conduct electricity LESSON: EXAMPLES OF NAMING AND WRITING OF INORGANIC COMPOUNDS Topic Learning Outcomes •Write the chemical formula of an inorganic compound •Name the inorganic compound based on its chemical formula THE BOOK LOUNGE PH| 17 LESSON: NAMING AND WRITING OF CHEMICAL FORMULA The formation of an ionic compound. Transferring electrons from the atoms of one element to those of other results in an ionic compound. A. B. C. D. The Elements (Lab View) The Elements (Atomic View) Electron Transfer The compound (atomic view): Na+ and CI- in the crystal E. The compound (lab view) sodium chloride crystal Predicting the Ion and Element Forms PROBLEM: What monatomic ions do the following elements form? (a) Iodine (Z = 53) (b) Calcium (Z = 20) (c) Aluminum (Z = 13) PLAN: Use Z to find the element. Find its relationship to the nearest noble gas. Elements occurring before the noble gas gain electrons and elements following lose electrons. SOLUTION: ¡- Iodine is a nonmetal in Group 7A(17). It gains one electron to have the same number of electrons as 5Xe. Ca2+ Calcium is a metal in Group 2A(2). It loses two electrons to have the same number of electrons as 18Ar. Al 3+ Aluminum is a metal in Group 3A(13). It loses three electrons to have the same number of electrons as 10Ne. THE BOOK LOUNGE PH| 18 Formation of a covalent bond between two H atoms. Covalent bonds form when elements share electrons, which usually occurs between nonmetals. Naming binary ionic compounds The name of the cation is written first, followed by that of the anion. The name of the cation is the same as the name of the metal. Elements that are polyatomic > A polyatomic ion Types of Chemical Formulas A chemical formula is comprised of element symbols and numerical subscripts that show the type and number of each atom present in the smallest unit of the substance. An empirical formula indicates the relative number of atoms of each element in the compound. It is the simplest type of formula. The empirical formula for hydrogen peroxide is HO. A molecular formula shows the actual number of atoms of each element in a molecule of the compound. The molecular formula for hydrogen peroxide is H2O2. A structural formula shows the number of atoms and the bonds between them, that is, the relative placement and connections of atoms in the molecule. The structural formula for hydrogen peroxide is H-O-O-H. Many metal names end in -ium. The name of the anion takes the root of the nonmetal name and adds the suffix -ide. Calcium and bromine form calcium bromide. Naming Binary Ionic Compounds PROBLEM: Name the ionic compound formed from the following pairs of elements: (a) magnesium and nitrogen (b) iodine and cadmium (c) strontium and fluorine (d) sulfur and cesium PLAN: Use the periodic table to decide which element is the metal and which the nonmetal. The metal (cation) is named first and we use the -ide suffix on the nonmetal name root. SOLUTION: (a) magnesium nitride (b) cadmium iodide (c) strontium fluoride (d) cesium sulfide Determining Formulas of Binary Ionic Compounds PROBLEM: Write chemical formulas for the compounds named in Sample Problem 2.5. PLAN: Compounds are neutral. We find the smallest number of each ion which will produce a neutral formula. Use subscripts to the right of the element symbol. THE BOOK LOUNGE PH| 19 SOLUTION: (a) Mg2+ and N3-; three Mg2+(6+) and two N3-(6-); Mg3N2 (b) Cd2+ and I-; one Cd2+(2+) and two I-(2-); CdI2 (c) Sr2+ and F-; one Sr2+(2+) and two F-(2-); SrF2 (d) Cs+ and S2-; two Cs+(2+) and one S2- (2-); Cs2S Metals With Several Oxidation States Determining Names and Formulas of Ionic Compounds of Elements That Form More Than One Ion PROBLEM: Give the systematic names for the formulas or the formulas for the names of the following compounds: (a) tin(II) fluoride (c) ferric oxide (b) CrI3 (d) CoS Determining Names and Formulas of Ionic Compounds Containing Polyatomic Ions PROBLEM: Give the systematic names or the formula or the formulas for the names of the following compounds: (a) Fe(ClO4)2 (b)sodium sulfite (c)Ba(OH)2 8H2O PLAN: Compounds are neutral. We find the smallest number of each ion which will produce a neutral formula. Use subscripts to the right of the element symbol. PLAN: Note that polyatomic ions have an overall charge so when writing a formula with more than one polyatomic unit, place the ion in a set of parentheses. SOLUTION: (a) Tin (II) is Sn2+; fluoride is F-; so the formula is SnF2. (b) The anion I is iodide(I-); 3I- means that Cr(chromium) is +3. CrI3 is chromium (III) iodide (c) Ferric is a common name for Fe3+; oxide is O2-, therefore the formula is Fe2O3. (d) Co is cobalt; the anion S is sulfide (2-); the compound is cobalt (II) sulfide. SOLUTION: (a) ClO4- is perchlorate; iron must have a 2+ charge. This is iron (II) perchlorate. (b) The anion sulfite is SO32- therefore you need 2 sodium’s per sulfite. The formula is Na2SO3. (c) Hydroxide is OH- and barium is a 2+ ion. When water is included in the formula, we use the term “hydrate” and a prefix which indicates the number of waters. So, it is barium hydroxide octahydrate. Some Common Polyatomic Ions Recognizing Incorrect Names and Formulas of Ionic Compounds PROBLEM: Something is wrong with the second part of each statement. Provide the correct name or formula. (a) Ba(C2H3O2)2 is called barium diacetate. (b) Sodium sulfide has the formula (Na)2SO3. (c) Iron (II) sulfate has the formula Fe2(SO4)3. (d) Cesium carbonate has the formula Cs2(CO3). THE BOOK LOUNGE PH| 20 SOLUTION: (a) Barium is always a +2 ion and acetate is -1. The “di-” is unnecessary. (b) An ion of a single element does not needs parentheses. Sulfide is S2-, not SO32-. The correct formula is Na2S. (c) Since sulfate has a 2- charge, only 1 Fe2+ is needed. The formula should be FeSO4. (d) The parentheses are unnecessary. The correct formula is Cs2CO3. NAMING ACIDS 1) Binary acids solutions form when certain gaseous compounds dissolve in water. For example, when gaseous hydrogen chloride (HCI) dissolves in water, it forms a solution called hydrochloric acid. Prefix hydroanion nonmetal root + suffix -ic + the word acid hydrochloric acid. 2) Oxoacid names are similar to those of the oxoanions, except for two suffix changes: Anion "-ate" suffix becomes an "-ic" suffix in the acid. Anion "-ite "suffix becomes an "-ous" suffix in the acid. The oxoanion prefixes "hypo-" and "per-" are retained. Thus, BrO; is perbromate, and HBrO, is perbromic acid; 10 is iodite, and HIO is iodous acid. Determining Names and Formulas of Anions and Acids PROBLEM: Name the following anions and give the names and formulas of the acids derived from them: (a) Br (b) 103 (c) CN (d) SO,2(e) NO, SOLUTION: (a) The anion is bromide; the acid is hydrobromic acid, HBr. (b) The anion is iodate; the acid is iodic acid, HIO. (c) The anion is cyanide; the acid is hydrocyanic acid, HCN. (d) The anion is sulfate; the acid is sulfuric acid, H,SO, (e) The anion is nitrite; the acid is nitrous acid, HNO. Determining Names and Formulas of Binary Covalent Compounds PROBLEM: (a) What is the formula of carbon disulfide? (b) What is the name of PCly? (c) Give the name and formula of the compound whose molecules each consist of two N atoms and four O atoms. SOLUTION: (a) Carbon is C, sulfide is sulfur S and di-means 2 - CS2. (b) P is phosphorous, Cl is chloride, the prefix for 5 is penta-. Phosphorous pentachloride. (c) N is nitrogen and is in a lower group number than O (oxygen). Therefore, the formula is N2O4 - dinitrogen tetraoxide. Recognizing Incorrect Names and Formulas of Binary Covalent Compounds PROBLEM: Explain what is wrong with the name of formula in the second part of each statement and correct it: (a) SF4 is monosulfur pentafluoride. (b) Dichlorine heptaoxide is Cl,06(c) Nag is dinitrotrioxide. SOLUTION: (a) The prefix mono- is not needed for one atom; the prefix for four is tetra-. So the name is sulfur tetrafluoride. (b) Hepta- means 7; the formula should be Cl,O. (c) The first element is given its elemental name so this is dinitrogen trioxide. INTERVENTION TO CHEMISTRY WEEK 4 READING MATERIALS LESSON: CHEMICAL REACTIONS Balancing of Chemical Reaction • Number of atoms of each element must be the same before and after chemical reactions. Number of atoms in reactants = Number of atoms in products Law of Conservation of Mass • Mass can neither be gained nor lost through a chemical reaction THE BOOK LOUNGE PH| 21 total mass of reactants = total mass of products Steps in Balancing Chemical Reactions -Write a formula equation with correct symbols and formulas. -Count the number of atoms of each element on each side of the arrow. -Balance atoms by using coefficients. -Check your work by counting atoms of each element. Example A Balance the ff. reaction: 1. CO + O2 → CO2 Balanced reaction: 2CO + O2 → 2CO2 2. Ca + O2 → CaO Balanced reaction: 2Ca +O2→2CaO Example B Balance the ff. reaction: KClO3→KCl + O2 Balanced reaction: 2KClO3 → 2KCl + 3O2 Cl2 +KBr → KCl +Br2 Balanced reaction: Cl2 + 2KBr → 2KCl + Br2 Example C Balance the ff. reaction: H2SO4, + NaOH> Na2SO4+ H2O Balanced equation: H2SO4, + 2NaOH > Na2SO4 + 2H20 Try this! Balance the ff. reaction: N2O5→NO2+ O2 Balanced reaction: 2N2O5→4NO2+ O2 Types of Reaction •Synthesis or Combination • Single Displacement Reaction or Single Replacement Reaction 𝐴+𝐵𝑋→𝐴𝑋+𝐵 Examples: 𝑍𝑛+ 2𝐻𝐶𝑙 → 𝑍𝑛𝐶𝑙2 + 𝐻2 𝐹𝑒 + 𝐶𝑢𝑆𝑂4 → 𝐹𝑒𝑆𝑂4 + 𝐶𝑢 •Double Displacement Reaction or Double Replacement Reaction or Metathesis 𝐴𝐵+𝐶𝐷 →𝐴𝐷+𝐶𝐵 Examples: 𝐶𝑎𝐶𝑂3+2𝐻𝐶𝑙→𝐶𝑎𝐶𝑙2+𝐻2𝐶𝑂3 𝐵𝑎𝐶𝑙2+𝑁𝑎2𝑆𝑂4→𝐵𝑎𝑆𝑂4+2𝑁𝑎𝐶𝑙 Steps in Balancing Combustion Reaction - Balance first carbon - Next, balance hydrogen - Count the number of oxygens in the product side, then divide it by “2”. This will be the coefficient of O2. The “2” is the subscript in the O2 Note: If there is an oxygen present in the compound (which is to be burned/oxidized), take the difference first of the number of oxygen in the product with the subscript of oxygen in the compound, then divide it by “2”. This will be the coefficient of O2. COMBUSTION REACTION Balance the ff. reaction: 1. CH4 + O2 → CO2 + H2O Balanced reaction: CH4 + 2O2 →CO2 + 2H2O 2. C3H8 + O2 → CO2 + H2O 𝐴+𝐵→𝐶 Examples: 2H2(g) + 02(g) - 2H2O(g) 4Fe + 302 - 2Fe2O3 Balanced reaction: C3H8 + 5O2 → 3CO2 + 4H2O Balance the ff. reaction: 3. C2H6 + O2 →CO2 + H2O • Decomposition 𝐴→𝐵+𝐶 Examples: 2H2O(g) → 2H2(g) + + 02(g) 2KCIO3 -> 2KCI + 302 Balanced reaction: C2H6 + 7/2O2 → 2CO2 + 3H2O To eliminate the fraction, multiply the whole reaction to 2 THE BOOK LOUNGE PH| 22 (C2H6 + 7/2O2 → 2CO2 + 3H2O) x 2 2C2H6 + 7O2 → 4CO2+ 6H2O Balance the ff. reaction: 4. C4H10 + O2 → CO2 + H2O Balanced reaction: C4H10+ 13/2O2→4CO2+ 5H2O To eliminate the fraction, multiply the whole reaction to 2 (C2H6+ 13/2O2→4CO2+ 5H2O) x 2 2C2H6+ 13O2→8CO2+ 10H2O Balance the ff. reaction: 1.C2H6O+O2→CO2+H2O Balanced reaction: C2H6O + 3O2→2CO2+ 3H2O 2.C4H10O +O2 → CO2+H2O Balanced reaction: C4H10O + 6 O2→ 4 CO2+ 5H2O LESSON: MOLE CONCEPTS Chemical Stoichiometry Mole Concept Molecular Weight (MW) • 1 molecule H2O = 18 amu • 1 molecule O2 = 32 amu • 1 molecule NaF = 42 amu Molar Mass (MM) for a Molecule/Compound • 1 mol H2O= 18 grams of H2O • 1molO2 =32gramsofO2 • 1molNaF=42gramsofNaF We use the unit “amu” or atomic mass unit for every 1 molecule We use the unit grams for every 1 mol of a compound or molecule Note: In chemistry, the term molecular weight (MW) is used interchangeably with molar mass of a molecule/compound The unit for the molar mass of a compound/molecule is g/mol How to compute the molar mass for a molecule/compound or molecular weight 1. Determine the atomic weights / molar masses of the elements present in the compound / molecule 2. Multiply the subscript of the element by its respective atomic weight or molar mass. 3. Add all the values. Stoichiometry – The study of quantities of materials consumed and produced in chemical reactions. Mole (mol) – basic unit of a substance Mole Concept Atomic Weight (AW) • 1 atom C = 12 amu • 1 atom F = 19 amu • 1 atom Na = 23 amu Molar Mass (MM) for Element/atom • 1 mol C = 12 grams of C • 1 mol F = 19 grams of F • 1 mol Na = 23 grams of Na •We use the unit “amu” or atomic mass unit for every 1 atom •We use the unit grams for every 1 mol of an element •Note: In chemistry, the term atomic weight (AW) is used interchangeably with molar mass of an element. •The unit for the molar mass of an element is g/mol THE BOOK LOUNGE PH| 23 MASS TO MOLE Formula for Mass to Mole 𝑋=𝑐𝑎𝑛 𝑏𝑒 𝑎𝑛 𝑒𝑙𝑒𝑚𝑒𝑛𝑡 𝑜𝑟 𝑎 𝑐𝑜𝑚𝑝𝑜𝑢𝑛𝑑/𝑚𝑜𝑙𝑒𝑐𝑢𝑙𝑒 TRY THESE: 1.Convert 50grams of C to mol of C (Molar mass: C=12g/mol) 2.Convert 150 grams of C6H6 to mol of C6H6 (Molar mass: C=12g/mol; H=1g/mol) MOLE TO MASS •Formula for Mole to Mass 𝑋=𝑐𝑎𝑛 𝑏𝑒 𝑎𝑛 𝑒𝑙𝑒𝑚𝑒𝑛𝑡 𝑜𝑟 𝑎 𝑐𝑜𝑚𝑝𝑜𝑢𝑛𝑑/𝑚𝑜𝑙𝑒𝑐𝑢𝑙𝑒 THE BOOK LOUNGE PH| 24 3.Convert 2.3 mol of NH4Cl to grams of NH4Cl (Molar mass: N=14g/mol; H=1g/mol; Cl=35.45g/mol) Avogadro’s Number Example: THE BOOK LOUNGE PH| 25 2.Determine the percent composition of Al(OH)3 TRY THESE.... 1. Convert 35 grams of C to C atoms (Molar mass: C=12g/mol) 3.Determine the percent composition of (NH4)3PO4 2. Convert 0.05 mol of Cu to Cu atoms 3. Convert 55 grams of H2SO4 to H2SO4 molecules (Molar mass: H = 1 g/mol; S = 32 g/mol; O = 16 g/mol) LESSON: STOICHIOMETRY Stoichiometric Calculations: Amounts of Reactants and Products Percent Composition 𝑋 = 𝑒𝑙𝑒𝑚𝑒𝑛𝑡 Calculating Masses of Reactants and Products in Reactions • Balance the equation for the reaction • Convert the known mass of the reactant or product to moles of that substance. •Use the balanced equation to set up the appropriate mole ratios. • Use the appropriate mole ratios to calculate the number of moles of desired reactant or product. •Convert from moles back to grams if required by the problem. Calculating Masses of Reactants and Products in Reactions Ex: % Composition of element in a compound 1.Determine the percent composition of Na2SO4 THE BOOK LOUNGE PH| 26 Mole Ratio Balanced Chemical Reaction 4𝐹𝑒 + 3𝑂 → 2𝐹𝑒 𝑂 223 4 mol Fe reacts with 3 mols of O2 4 mol Fe produces 2 mols Fe2O3 3 mols of O2 reacts with 4 mols of Fe 3 mols of O2 produces 2 mol of Fe2O3 Mole Ratio • Balanced Chemical Reaction 4 𝐹𝑒 + 3𝑂2 → 2𝐹𝑒 2𝑂3 Mole Ratio–it is based on the coefficients from a balanced chemical reaction 𝑃4+5𝑂2 → 2𝑃2𝑂5 THE BOOK LOUNGE PH| 27 THE BOOK LOUNGE PH| 28 • Hydration – the process in which an ion is surrounded by water molecules arranged in specific manner Solubility - The maximum amount of solute that dissolves in a fixed quantity of a particular solvent at a specified temperature when excess solute is present. - Property which allows solute particles to form uniform mixture with solvent particles. INTERVENTION TO CHEMISTRY WEEK 4 READING MATERIALS LESSON: SOLUTIONS Solution Homogeneous mixture of two or more substances, the relative proportion of which may vary within certain limit • A homogeneous mixture of two or more substances in a single physical state. Properties of Solution • Particles in a solution are very small. • Particles in solution are evenly distributed or intermingled uniformly on a molecular level. • The particles in solution will not separate no matter how long the solution is allowed to stand under constant conditions. Components of Solution Solute • substance that is dissolved • smaller amount than solvent Solvent • dissolving medium • larger amount than solute Water – “universal solvent” Types of Solution • Saturated - contains maximum amount of solute that a solvent can dissolve at a given temperature • Unsaturated - there is less solute that can be dissolved at a given temperature • Supersaturated – unstable condition in which there is more solute in solution than can normally exist at a given temperature. Solute can be... Soluble - A given solute can easily dissolve in a given amount of solvent. Slightly Soluble - the solute is partially dissolved in a given amount of solvent. Insoluble - a given solute does not dissolve in a given amount of solvent. Miscibility - Solubility of liquid with another liquid Miscible • if two liquids dissolve in each other in any proportion. Partially Miscible • when two liquid components form a single phase when mixed in certain proportions but form two phases when mixed in different proportions. Immiscible • two components are insoluble in each other Oil is immiscible to water Aqueous Solution A solution in which the solvent is water A solute that dissolved in water can be: Electrolyte •a substance that when dissolved in water, results in a solution that can conduct electricity. Non-electrolyte • a substance that does not conduct electricity when dissolved in water Aqueous Solution Solvation and Hydration • Solvation – the process in which an ion or a molecule is surrounded by solvent molecules arranged in specific manner THE BOOK LOUNGE PH| 29 Factors Affecting Solubility Percent by Mass (Prob 1) - NATURE OF SOLUTE AND SOLVENT - TEMPERATURE - PRESSURE (USUALLY FOR SOLUBILITY OF GASES) Nature of Solute and Solvent • When two substances are similar in nature, they can dissolve each other ("like dissolves like"). • Polar solute – polar solvent • Non-polar solute – non – polar solvent Percent by Mass (Prob 2) Polar and Non-Polar Substances Concentration of Solution • The amount of a solute in a given amount of solvent or solution • A complete description of a solution Ways of Expressing Concentrations • Percent by Mass • Percent by Volume • Molarity • Molality • Mole Fraction • Normality Percent by Volume Volume of solution = volume of solute + volume of solvent Percent by Mass Note: the unit of numerator must be the same with unit of the denominator Mass of solution = mass of solute + mass of solvent Percent by Volume (Prob 1) Note: the unit of numerator must be the same with unit of the denominator THE BOOK LOUNGE PH| 30 Molarity (Prob 2) Percent by Volume (Prob 2) Molality (Molal Concentration) Molarity (Molar Concentration) Note: The unit of molality is “m” or mol/kg. Molality (Prob 1) Note: The unit of molarity is “M” or mol/L. Molarity (Prob 1) THE BOOK LOUNGE PH| 31 Molality (Prob 2) Mass % to molarity (given density in g/mL) ADDITIONAL PROBLEM Mole Fraction (X) Mole Fraction (Prob 1) ADDITIONAL PROBLEM THE BOOK LOUNGE PH| 32 Normality (NORMAL SOLUTION) •Unit of Normality is eq/L or “N” Normality (Prob 1) Normality (Normal Solution) 1. “f” for acids • f = number of H in the compound 2. f” for bases • f = number of OH in the compound 3. “f” for ionic compound / salt • f = charge of the cation times the numerical value of the subscript of the cation in the compound. Normality (Prob 2) Normality Normality (Prob 3) FORMULA OF NORMALITY THE BOOK LOUNGE PH| 33 LESSON: GASEOUS STATE GENERAL PROPERTIES OF GASES ➢ Indefinite shape ➢ Indefinite volume ➢ Take the shape and volume of container ➢ Particles are far apart ➢ Particles move fast ➢ High Kinetic Energy - particles can separate and move throughout container GENERAL PROPERTIES OF GASES Solid Liquid Behavior of Gases • IDEAL GAS – gas described in kinetic molecular theory and strictly follow gas laws • REAL OR NON-IDEAL GAS - deviates from ideal gas behavior at high pressure and temperature - the intermolecular attractions of these gases hold their molecules close to one another and allow gases to be liquefied Gas GENERAL PROPERTIES OF GASES - the most compressible of the states of matter - mix evenly and completely when confined to the same container - Easily effuse (to flow through small holes) and diffuse (to spread to occupy available space) - have much lower densities than liquids and solids - Exert pressure on the containing vessel Some substances found as Gases under normal atmospheric condition (1 atm and 25oC) Variables Affecting Behavior of Gases • Temperature (T) • Volume (V) • Amount or number of moles (n) • Pressure (P) Temperature • A measure of the average kinetic energy of a gas sample measured in Kelvin • The motion of the molecules is dependent on the temperature • The molecular motion of molecules measured in terms of the average kinetic energy increases as temperature is increased • K = oC+273.15 Volume (V) or Capacity • Space occupied by the sample of gas which is equal to the volume of its container • Measured in liters (L) due to low densities of gases Kinetic Molecular Theory postulated by: Daniel Bernoulli (1738) • Explains the regularity of the behavior of all gases Postulates: 1. Gases consist of small molecules that are in constant random motion 2. The volumes of all molecules of a gas are small compared to the space between molecules (A gas is mostly empty space). 3. Intermolecular forces between particles are negligible 4. Collisions between molecules and with their container are perfectly elastic (no energy is lost due to friction and the pressure in the container does not vary with time at any given temperature) 5. Average kinetic energy of the molecules is proportional to absolute Temperature. Moles of Gas • The amount or the number of particles present in a gas sample • interms of mole of gas(n) n = moles of gas Pressure • Force exerted by gas molecules on the wall of the container • Gases exert pressure on any surface with which they come in contact because gas molecules are constantly in motion Atmospheric Pressure • Pressure exerted by earth’s atmosphere • Actual value depends on location, temperature and weather conditions • Standard Atmospheric Pressure = 1 atm THE BOOK LOUNGE PH| 34 Conversion of Units for Pressure • Combined Gas Law (combination of Boyle’s and Charles’ Law) Examples (Convert the ff:) Sample Problem A sample of argon gas occupies 105 mL at 0.871 atm. If the temperature and number of moles of argon remains constant, what is the volume (in L) at 0.259 atm? GAS LAW • Boyle’s Law (volume is inversely proportional to the pressure of gas, at constant temperature and number of moles) • Charles’ Law (Volume of gas is directly proportional to absolute temperature of gas at constant pressure and number of moles) Sample Problem A balloon is filled with 1.95 L of air at 25oC and then placed in a car in the sun. What is the volume of the balloon (in L) when the temperature in the car reaches 90oC? • Avogadro’s Law (volume of gas is directly proportional to number of moles of gas, at constant temperature and pressure) • Gay-Lussac’s Law (Pressure of gas is directly proportional to absolute temperature of gas at constant volume and number of moles) THE BOOK LOUNGE PH| 35 IDEAL GAS LAW DENSITY OF A GAS Example 1 An automobile tire at 23°C with an internal volume of 25.0 L is filled with air to a total pressure of 3.18 atm. Determine the number of moles of air in the tire. Solution: Unit of density of gas is g/L STANDARD TEMPERATURE AND PRESSURE (STP) Example 2 What is the pressure in a 19-L tank that contains 5.67 g of helium at 25°C? Solution: Example 4 Example 3 Sulfur hexafluoride (SF6) is a gas used as a long-term tamponade (plug) for a retinal hole to repair detached retinas in the eye. If this compound is introduced into an evacuated 500.0-mL container at 83°C with a pressure of 760 torr, what is the mass (in grams) of the compound? Molar mass :S=32g/mol; F=19g/mol THE BOOK LOUNGE PH| 36 Example 5 GAS MIXTURE Example 6 TRY THESE Mixture of Gases • Gases mix homogeneously in any proportions • Each gas in a mixture behaves as if it were the only gas present (assuming no chemical interactions). Dalton’s Law of Partial Pressures • In a mixture of unreacting gases, the total pressure is the sum of the partial pressures of the individual gases. Partial Pressure • It is the pressure exerted by each gas in a mixture • In a mixture of unreacting gases, the total pressure is the sum of the partial pressures of the individual gases. Partial Pressures and Mole Fraction • Each component in a mixture contributes a fraction of the total number of moles in the mixture. • Mole Fraction (X) Mole Fraction (X) Since the total pressure is due to the total number of moles, the partial pressure of a gas in gas mixture is equal to the total pressure multiplied by the mole fraction of a gas. Sample Problem Dry air contains the following mole fraction: Calculate the partial pressure (in kPa) for N2, O2, and Ar. The total pressure is equal to the atmospheric pressure (101.325 kPa) THE BOOK LOUNGE PH| 37 Sample Problem INTERVENTION TO CHEMISTRY WEEK 5 READING MATERIALS LESSON: ACIDS AND BASES Arrhenius Acid – Base Definition EXAMPLE: A mixture of consisting of 7.0 g of CO and 10.0 g of SO2 has a total pressure of 0.33 atm when placed in a sealed container. What are the partial pressures (in atm) of CO and SO2? Molar mass: CO = 28 g/mol; SO2 = 64 g/mol Acid – a substance that has H in its formula and dissociates in water to yield H3O+ or H+. • Example: HCl, HNO3, HCN • Base – a substance that has OH in its formula and dissociates in water to yield OH-. • Example: NaOH, KOH, Ba(OH)2 • Neutralization – reaction between acid and base. Bronsted – Lowry Acid – Base Definition • An acid is a proton donor, any species that donates an H+. An acid must contain H in its formula: HNO3 and H2PO4-. All Arrhenius acids are Bronsted-Lowry acids. • A base is a proton acceptor, any species that accepts an H+ ion. A base must contain a lone pair of electrons to bind the H+ ion. A few examples are NH3, CO3-2, and F-, as well as OH-. Bronsted- Lowry bases are not Arrhenius bases, but all Arrhenius bases contains the Bronsted-Lowry Base OH-. • An acid and a base always work together in the transfer of a proton. One species behaves as an acid only if another species simultaneously behaves as a base, and vice versa. Acid – Base dissolve in water... • When an acid or a base merely dissolves in water, an acidbase reaction occurs because water acts as the other partner. 1. Acid donates a proton to water 2. Base accepts a proton from water TRY THIS A chemical engineer places a mixture of noble gases consisting of 5.50 g of He, 15.0 g Ne, and 35.0 g of Kr in piston-cylinder assembly at STP. Calculate the partial pressure (in atm) of each gas. Molar mass: He = 4 g/mol ; Ne = 20.18 g/mol ; Kr = 83.79 g/mol Answers: Conjugate Acid – Base Pair • Using the reversible reaction below: H2S acts as an acid by donating an H+ to NH3 which acts as a base. Notice that the acid, H2S, becomes a base, HS-, and the base, NH3, becomes an acid, NH4+. • H2S and HS- are a conjugate acid – base pair • NH3 and NH4+ are a conjugate acid – base pair THE BOOK LOUNGE PH| 38 Conjugate Acid – Base Pair Using the reversible reaction below: Acid –Dissociation Constant, Ka Using the dissociation reaction of water • HS- is the conjugate base of the acid H2S. • NH4+ is the conjugate acid of the base NH3 Conjugate Acid – Base Pair Every acid has a conjugate base, and every base has a conjugate acid. The conjugate base has one fewer H and one more minus charge than the acid. The conjugate acid has one more H and one fewer minus charge than the base. Example 1. 𝐻𝐹+𝐻𝑂 ↔ 𝐹−+𝐻𝑂+ 23 2. 𝐻𝐶𝑂𝑂𝐻 + 𝐶𝑁− ↔ 𝐻𝐶𝑂𝑂− + 𝐻𝐶𝑁 3. 𝑁𝐻++𝐶𝑂−2 ↔ 𝑁𝐻 +𝐻𝐶𝑂− 4333 4. 𝐻𝑃𝑂−+𝑂𝐻− ↔ 𝐻𝑃𝑂−2+𝐻𝑂 • Strong acid → higher [H3O+] → larger Ka • Strong acid dissociates completely into ions in water. [H3O+] = initial concentration of the acid. Base –Ionization Constant, K pH and pOH Example What is the conjugate base of the acid, HPO4-2? •Answer: PO4-3 What is the conjugate acid of the base SO3-2? •Answer: HSO3- pH measures the acidity of the solution. •pH < 7 acidic solution •pH = 7 neutral solution •pH > 7 basic or alkaline solution Relative Acid – Base Strength Relating pH and pOH using Kw Take the negative log of both sides of equation pH for acid and base solution •For acidic solution • For Basic / Alkaline Solution Autoionization of Water (The Ion-Product Constant for Water, Kw) •Using the dissociation reaction of water 𝐻+ and [𝑂𝐻−] concentration THE BOOK LOUNGE PH| 39 EXAMPLES 1.What is the pH of 10-3M H3O+? Assume the acid is a strong acid. EXAMPLE 7 2. What is the pH of 0.55 M HCl? HCl is a strong acid. LESSON: COLLIGATIVE PROPERTIES 3.What is the pH of 0.85M NaOH? NaOH is a strong base. EXAMPLE 4 A property of a solution that depends on the number, not the identity, of solute particles. • Colligative properties were measured to explore the nature of a solute in aqueous solution and its extent of dissociation into ions (electrolyte solutions). Colligative Properties of Non-volatile and non- electrolyte Solution Vapor Pressure Lowering Boiling Point Elevation Freezing Point Depression Osmotic Pressure Vapor Pressure Lowering (∆P) • The vapor pressure of a solution of a non-volatile nonelectrolyte is always lower than the vapor pressure of the pure solvent. • Using Raoult’s Law: EXAMPLE 5 EXAMPLE 5 Derivation of Vapor Pressure Lowering (∆P) EXAMPLE 6 THE BOOK LOUNGE PH| 40 Boiling Point Elevation (ΔTb) • Boiling Point → it is the temperature at which the vapor pressure is equal to the external pressure. • External Pressure → atmospheric pressure • Boiling Point Elevation (ΔTb) →A solution boils at a higher temperature than the pure solvent. Example 1 (Vapor Pressure Lowering) Calculate the vapor pressure lowering, ∆P (in torr) when 0.137 mol of glycerol is added to 27.4 mol of H2O at 50oC. At this temperature, the vapor pressure of pure water is 92.5 torr. Boiling Point Elevation (ΔTb) Example 2 (Vapor Pressure Lowering) Calculate the vapor pressure lowering (in torr) of a solution of 2.00 grams of aspirin (molar mass = 180.15 g/mol) in 50.0 grams of methanol (molar mass = 32 g/mol) at 21.2oC. Also, calculate the vapor pressure (in torr) of the solution. Pure methanol has a vapor pressure of 101 torr at this temperature. Example 1 Example 2 THE BOOK LOUNGE PH| 41 EXAMPLE 1 EXAMPLE 2 Freezing Point Depression (ΔTf) → the solution freezes at a lower temperature than the solvent THE BOOK LOUNGE PH| 42 EXAMPLE 2 A 5 grams of glucose (Molar mass glucose = 180 g/mol) is dissolved in water to make 1200 mL solution. What is the osmotic pressure of the solution at 30oC? Osmotic Pressure (∏) • Osmosis – when two solutions of different concentrations are separated by semi-permeable membrane, one that allows solvent, but not the solute, molecules to pass through. • Osmotic Pressure – defined as the applied pressure required to prevent the net movement of water from solvent to solution. EXAMPLE 1 A 0.30 M solution of sucrose that is at 37oC has approximately the same osmotic pressure as blood does. What is the osmotic pressure of blood (in atm)? 𝑇 =37+273.15=310.15𝐾 THE BOOK LOUNGE PH| 43