[9/8/08] Units of measurement When a number represents a measured quantity the units must be specified SI: System international Basic Units: Quantity Unit Mass Kilogram (Kg) Temperature Kelvin (K) Length Meter (m) Time Second (s) Amount of substance Mole (mol) Electric current Ampere (Amp) Luminous intensity Candela (cd) Prefix: Mega – 106 Kilo – 1000 Deci – .1 Centi – .01 Milli – .001 Nano – 10-6 Micro – 10-9 Ways to convert K h D b d c m (kittens hate dogs because dogs cant meow) Kilo Heca Deci Basic Deci Centi Milli How to use: put decimal after the letter that you are using and move over to whatever you desire and then move your answer that many decimal places Quantity Mass- measure of the amount of material in an object SI unit- kilogram Temperature- measure of hotness or coldness of an object Heat flows spontaneously, from higher temperature to lower temperature Celsius: 0° C – freezing pt. of water, 100° C- melting pt. of water Kelvin: 0 K – lowest attainable temp K = °C + 273 °C = 9/5(°F-32) °F = 9/5(°C) + 32 [9/10/08] Density Lab [9/11/08] went over scientific notation and how to do a lab report [9/12/08] Significant figures Significant figures All digits that are known + a last digit which could be estimated o Ex. 2.15 Certain about the 2.1 but not the .05 Still the 2.15 is a significant figure Three significant figures Depends on instrument of measure Point is to be able to round off All non zero numbers are significant Zeros between other nonzero digits are significant Zeros in front on nonzero digits are not significant o Instead of .008 8 x 10-3 Zeros at the end of the number and also to the right of the decimal are significant o Shows how exact something is Zeros at the end of the number but to the left of a decimal place are not significant (unless there is a decimal which then they are significant ex. 10.) Rounding rules Addition and subtraction o Look at number of decimal places that each number that someone is adding or subtracting and use the smallest number of decimal places used Multiplication or division o The final answer has the same number of significant figures as the measurement having the smallest number of significant figures [9/15/08] For inexact measurements, there is always some uncertainty are either inaccurate or not precise o Accuracy- measure of how close a measurement is to the actual value o Precision- measure of how close a measurement is relative to other measurements Unit conversions [9/16/08] went over more unit conversions Chapter 1 Yossi Quint [9/18/08] Chemistry- the study of the composition of matter and the changes matter undergoes (both chemically and physical) Matter- something that has mass and occupies space Scientific method: logical, systematic approach to find a solution to a scientific problem 1. Make observation 2. Ask a question 3. Make a hypothesis = proposed exclamation for an observation 4. Experiment o Independent variable- change during experiment o Dependent variable- observing 5. Interpret results 6. Conclusion Theory = well tested explanation for a broad set of observations Three states Solid o Definite shape and volume Shape doesn’t depend on shape of container Liquid o Indefinite shape but definite volume Shape is dependent on shape of container Gas o Indefinite shape and volume Contains both the shape and volume of container o * Vapor gaseous state of a substance that is generally liquid or solid at room temperature [9/19/08] Mixture: physical blend of two or more compounds (Ex. chicken noodle soup, air) Two types: o Heterogeneous Composition is not uniform throughout o Homogeneous Composition is uniform Same thing as a solution Separating mixtures: Differences in physical properties can be used to separate mixture o 1. Filtration: process that separates a solid from a liquid in a heterogeneous mixture o 2. Distillation: a liquid is boiled to produce a vapor that is then condensed into a liquid solid substances that were dissolved in water remain in the flask because their boiling points are higher [9/24/08] element- the simplest form of matter that has a unique set of properties cannot be broken down into simpler substances compound- substance made of 2 or more elements chemically combined in a fixed proportion can be broken down into simpler substances by chemical means chemical change- change that produces matter with a different composition than the original ex. heating, electricity [9/25/08] Chemical property- one that a substance displays only by changing its composition via a chemical change = Chemical reaction (rxn) Physical property- one that substance displays without changing composition during a physical change composition of matter never changes chemical Rxn (reaction) reactants products o = yield law of conservation of mass mass cannot be created or destroyed, only changed during any chemical reaction, the mass of products is equal to mass of reactants ex. a. Salt and sugar ground to fine power mixture, heterogeneous b. glucose pure substance, compound c. stainless steel mixture, homogeneous d. air mixture, homogeneous ex. physical or chemical a. distillation of slat water physical b. rusting of iron nail chemical c. burning of wood chemical d. salt precipitate physical Chapter 2 5/27/2009 7:44:00 PM [9/25/08] 2 laws that led to atomic theory conservation of mass Law of definitive proportions o in samples of any chemical compounds the masses of the elements are always in the same proportions Law of multiple proportions o Whenever the same two elements form more then one compound the different masses of one element that combine wit the same mass with the other element are in the ratio of small whole numbers [9/26/08] atom- smallest particle of an element that retains its identity in a chemical reaction Discovered by John Dalton (1766-1844) o Daltons Atomic Theory 1. All elements are composed of tiny particles called atoms 2. Atoms of the same element are identical 3. Atoms of different elements can physically, chemically combine in simple whole # ratios to form compounds 4. Chemical reactions occur when atoms are separated, joined or rearranged Radius of most atoms is between 50 and 200 Pico meters (pm) Structure of an atom Sub atomic particles o Protons o Neutrons o Electrons J.J. Thomson discovered Electrons Using cathode ray tube Two electrodes o Cathode Negative charge o Anode Positive charge At the end he saw negatively charged electrons o He knew this since it went towards the anode (and opposites attract) He found the ratio of the charge/mass [10/3/08] Millikan oil drop experiment o He found the mass of an electron M = 9.11 x 10-28 grams or 10-31 kilograms o charge on electron = q = -1.6 x 10-19 C -1 elementary charges symbol Remote charge Relative mass Actual mass (g) Mass Amu Electron E- 1- 1/1840 9.11 x 10-28 1 Proton 1+ 1 1.67 x 10-24 1 0 1 1.67 x 10-24 0 P+ Neutron N0 Thomson’s atomic model (plum pudding) o Sphere with a positive charge, and little electrons spread around it Rutherford gold foil experiment o Atom is mostly empty space o Atom Model 1. Protons = electrons in number 2. Most volume = empty space 3. Most mass in nucleus Positive charge in center (protons, neutrons) Electrons are distributed around the nucleus, and occupy most of the area Atomic number (symbolized as Z) Number of protons in the nucleus of an atom of that element o Used to identify, element [10/6/08] Mass number (symbolized as A) It is the protons and neutrons Mass number − atomic number = number of neutrons Ex. Oxygen 8 atomic number chemical mass Oxygen 15.944 name Mass number 16 8 number on top mass number number on bottom – atomic number o so theirs 8 neutrons, 8 protons, and 8 electrons Isotopes An atom that has the same number of protons but different number of neutrons o Three known types for hydrogen 11H hydrogen, 0 neutrons 2 1H deuterium, 1 neutron 3 1H tritium, 2 neutrons AMU All masses are related to 126C o Its mass is exactly 12 amu If we were to use grams instead of this we would have very long numbers 1 amu = 1/12 mass of carbon atom o ex. Helium: 4 amu = 1/3 mass of carbon Nickel: 60 amu = 5x mass of carbon Atomic Mass Weighted average mass of the atoms in a naturally occurring sample of the element Ex. Carbon 12, Carbon 13 o Abundance: 98.89 %, 1.11 % o Mass: 12 amu, 13.003 amu Atomic mass: (12*.9889) + (13.003*.0111) o (atomic mass * relative abundance) in % so divide by 100 [10/7/08] Periodic table: Arrangement of element in which the elements are separated into groups and periods based on a set of repeating properties Elements listed in order of increasing atomic number, listed from left to right and top to bottom Horizontal row – period Vertical column – group/family o Elements have similar chemical and physical properties Elements are grouped in three categories: metals, nonmetals, metalloids o Metals good conductors of heat and electricity malleable (can be hammered into thin sheets) and ductile (can be drawn into wires) 80 % of elements solids at room temperature (except mercury, which is liquid) o Non-metals (upper right corner, except H) Greater variation in physical properties Most are gases at room temperature Solid: Sulfur + phosphorus Liquid: bromine In general poor conductors of heat (exception in carbon) o Metalloids Elements that staircase the line, but not all B, Si, Ge, As, Sb, Te, At Properties similar to metal + nonmetals Group 1A – Alkali metals Group 2A – Alkaline earth matters Group 7A (17) – halogens Group 8A (18) – noble gases 3-12B – transition elements o not arranged according to valence electrons Ions o Formation of cat-ions Positive ion Formed by the loss of an electron o Formation Want to lose the amount of valence electrons (closest to the noble gas-?) o Group 1A – loses 1 electron (e-) to gain a charge of 1+ o Group 2A – loses 2 electron (2e-) to gain a charge of 2+ o Group 3A – loses 3 electron (3e-) to gain a charge of 3+ But the only one that works that was is Al alu3+ [10/23/08] wasn’t here, got Russel’s notes 1 mole = 6.02*10 to the 23rd power mole- quantity of a substance whos mass in grams is the same as it's formula weight moles=(representative particles)X(1mol/6.02X10 to the 23rd power rep. particles) anion always end with –ide [10/24/08] How many moles 2.8 x 1024 atoms of silicon? 2.8 x 1024 * (1 mol / 6.02 * 1023 atoms) = 4.65 mol Si 1 molecule CO2 3 atoms o 1 carbon o 2 oxygen 1 mole of CO2 6.02 x 1023 1 mole CO2 (3 x Na) atoms 1 mole C Na atoms o (Na = 6.02 x 1023) How many molecules are in 2.12 mol of C3H8 ? How many atoms are in 2.12 mol of C3H8 ? 2.12 mol x (6.02 * 1023 molecules / 1 mol) = 1.28 x 1024 molecules 2.12 mol x (6.02 * 1023 molecules / 1 mol) x (11 atoms / 1 molecule) = 1.4 x 1025 atoms [10/27/08] How many atoms are in 1.14 moles of SO3? 1.14 mol x (6.02 * 1023 molecules / 1 mol) x (4 atoms / 1 molecules) = 2.75 x 1024 atoms Going between mass and moles (mass moles) Molar mass (element): atomic mass of an element expressed in grams = mass of 1 mole of the element Ex. Carbon: 12 g/mol o Molar mass contains 1 mol or 6.02 x 1023 atoms of that element Ex. Molar mass of compound: o SO3 o Molar mass = molar mass sulfur + 3 (molar mass oxygen) = 32.12 mol + 3 (16) = 80.12 g/mol Molar mass (compound): mass is grams of 1 mole of compound o (If it says find the mass of one mole then the answer is only in g NOT g/mol) Ex. Need 3 mol NaCl o Molar mass = 58.5 g/mol o Mass (grams) - # moles x (mass (g) / 1 mol) 3 moles x (58.5 g / mol) – 175.5 Ex. What is the mass of 9.45 mol Al2O3? o 2(27) + 3(16) x 9.45 mol Ex. How many moles of Fe2O3 are contained in 92.2 g of Fe2O3? o 92.2 g / 160 (g/mol) = .576 mol EX. Calculate number of moles in 75 g N2O3? o 75 g / 76 (g/mol) = .987 mol N2O3 [10/28/08] # Moles = mass / molar mass # Moles = (# atoms / molecules) /NA Grams moles and then moles molecules How many molecules are there in 450 grams of Na2SO4? 450 g / 142 g/mol = 3.17 moles 3.17 x (6.02 * 1023 molecules / 1 mol) = 1.94 x 1024 molecules (if asked for atoms then multiply by seven) How many grams are there in 7.4 x 1023 molecules of AgNO3? 7.4 x 1023 molecules x (1 mol/6.02 * 1023 molecules) = 1.23 mol 1.23 mol x 170 g/mol = 209.1 g Calculate molar mass of the following chemicals: A. FeCl3 =160 B. BF3 = 66.7 C. Mg (OH)2 = 56 How many moles are in 22 grams of argon? 22 g/ 40 g/mol= .55 moles How many grams are in 88.1 moles of magnesium? 88.1 moles x 24 g = 2114.4 g How many moles are in 98.3 grams of aluminum hydroxide, Al(OH)3 ? 98.3g/ 78 g = 1.26 moles Molecules, compounds + chemical equations Yossi Quint [10/29/08] Compound: substance that contains two or more elements chemically combined in a fixed proportion Mixtures: have variable composition A compound has a much different composition then the atoms that make it up Ex. Sugar (made of C,H,O): sweet tasting, white, solid o C: no taste, black, solid o H: colorless, gas o O: colorless, gas How are compounds held together? By chemical bonds o Two types Ionic Covalent Ionic o o o bondsBetween a metal + nonmetal Involve a transfer of electrons Between cation + anion Cation – metals lose e- to become positively charged Anion – nonmetals gain an e- to become negatively charged e- transferred from metal nonmetal (Cation Anion) [11/3/08] ex. Na+ + Cl- NaCl Covalent bondo Atoms do not gain or lose an eo “Tug of war” for electrons between atoms which bonds them together o sharing of an eo between nonmetals + nonmeatals o form molecular compounds Chemical formula Representation of composition of substances Shows the kinds + numbers of atoms Empirical Formula – gives the lowest whole number ration of the atoms of the elements in the compound o Ex. HO or CH2O (instead of H2O2 and C6H12O6) Molecular Formula – gives the actual number of atoms of elements in a compound o Ex. H2O2 and C6H12O6 Some can be both like H2O Structural formula – represents covalent bonds by dashes and shows the arrangement of covalently bonded atoms o Ex. F2 F–F CO2 O = C double bond, stronger then a single bond, two shared electrons Molecular empirical o C2H6 CH3 o C2H6O C2H6O o Hg2Cl2 HgCl Molecular Elements – Diatomic molecules exist in nature as molecules ; 2 atoms of an element bonded together o ex. F2, Cl2, O2, N2, Br2, I2, H2 Molecular Compound – made of 2 or more nonmetals that are covantly bonded Polyatomic ion – group of atoms that has a positive or negative charge [11/4/08] Polyatomic ions Ex. classify as atomic element, molecular element, molecular compound , ionic compound (metal, nonmetal) o Neon o CO o F2 o C2H6 Atomic element Molecular compound (Two nonmetals) Molecular element Molecular compound (Two nonmetals) o KCl Ionic compound (One is a metal the other is a nonmetal) Got handout with the common polyatomic ions How to write formulas for ionic compounds 1) write the cation (+) and anion (-) o (symbol and charge: you get charge from the table if a compound, if it’s a element look at element, group 1 1+. 2 2+. 3 Al3+, 7 1-, 6 2-, 5 N3-) 2) adjust subscripts to balance overall charge 3) check that cation charge = anion charge neutral molecule o ex. Calcium and Chlorine 1) Ca2+Cl 2) CaCl2 3) 2+ = 2o ex. Magnesium and Oxygen Mg2+O2 MgO 2+ = 2o ex. Aluminum and Oxygen Al3+O2 Al2O3 6+ = 6Naming Ionic Compounds Name of metal + stem+ide o Ex. NaCl- sodium Chloride AlN- Aluminum Nitride NH4Cl- Ammonium chloride MgSO4- Magnesium Sulfate (polyatomic ion- look at chart for name) o Ex. Calcium + nitrate Ca2+NO3- Ca(NO3)2 2+ = 2Calcium Nitrate [11/5/08] naming transition elements and compounds o Fe2+ Iron (II) o Fe3+ Iron (III) o Cu+ Copper (I) o Cu2+ Copper (II) o Fe2+ + Cl- FeCl2 Iron (II) Chloride o Fe3+ + Cl- FeCl3 Iron (III) Chloride o Cu2O Copper (I) Oxide o Tin (IV) Oxide SnO2 o CuS Copper (II) Sulfide o Lead (II) Bromide – PbBr2 Hydrated Ionic compounds o Hydrate- contains a specific number of water molecules Ex. CuSO4 * 5H2O Copper (II) Sulfate pentahydrate Name of ionic compounds + prefix-“hydrate” Prefixes 1. Mono 2. Di 3. Tri. 4. Tetra 5. Penta 6. Hexa 7. Hepta 8. Octa 9. Nona 10. Deca ex. FeSO4 * 7H2O Iron (II) Sulfate Heptahydrate Naming Molecular compounds Prefix (number) + name of 1st element Prefix + stem + ide o Ex. CO2 When first element is one don’t write mono Carbon Dioxide o P2O3 DiPhosphurus TriOxide o SO2 Sulfur Dioxide o P2O5 Diphosphurs Pentoxide (leave off a when a vowel is next) o Nitrogen Dioxide NO2 o Dichlorine Heptaoxide Cl2O5 [11/6/08] Naming Acids Acid = compound that contains one or more hydrogen atoms and produce hydrogen ions (H+) when dissolved in water For compounds were hydrogen is the first element add hydro- to the front and –ic to the end o Ex. HBr Hydrobromic acid o Ex. H2S Hydrosulfuric acid o Ex. HF Hydrofluroic acid anion contains oxygen o Ex. H2SO4 Sulfuric acid Any polyatomic that ends in –ate -ic o Ex. H2SO3 Sulfurous acid -ite -ous o Ex. HNO3 Nitric acid o Ex. HNO2 Nitrous acid [11/17/08] Percent Composition – relative amounts of elements in a compound expresses as a percent (% by mass of each element in a compound) % Mass of an element = (mass element/mass compound) x 100 o Ex. K2CrO4 K – 40.3 % Cr – 26.8 % O – 32.9 % Percent must total 100% (2(39) / 184) x 100 = 40.3 (molar mass of K x 2 / total compound) X 100 o Ex. When a 13.6 g sample of a compound containing only magnesium and oxygen (Mg, O) is decomposed, 5.4 g of oxygen is obtained. What is the percent composition of this compound O – 39.7 % Mg – 60.3 % o Ex. calculate the mass of carbon in 82 g of C3H8 82 g of C3H8 X (81.8 C / 100 g 82 g of C3H8) = 67.1 g C o Ex. 25.9 % nitrogen, 74.1 % oxygen. What is the empirical formula? 1) Assume 100g of a compound 25.9 g N, 74.1 g O 2) Divide each one by molar mass 25.9 g N / 14 g/ mol = 1.85 mol N 74.1 g O/ 16 g / mol = 4.63 Mol O 3) Divide by lowest number so one will each one N1.85O4.63 Divide by 1.85 4) Multiply by smallest number to get whole numbers N1O2.5 This case 2 Answer: N2O5 o To find molecular formula: Divide molar mass by empirical formula mass this gives us # to multiply empirical formula by to get molecular formula Ex. HO – 24 g / mol 34 /17 = 2 so 2-h 2-o [11/18/08] Calculate the molecular formula of a compound whose molar mass is 60 g/mol and empirical formula is CH4N? 60 / 30 = 2 C2H8N2 Determine the molecular formula - 50. 7 % C, 4.2 % H , 45.1 % O, molar mass 142 g 50.7 g C , 4.2 g H, 45.1 G O o 50.7/12 – 4.2 o 4.2/1 – 4.2 o 45.1/16 – 2.8 C4.2H4.2O2.8 C4.2H4.2O2.8 /2.8 C1.5H1.5O1 C3H3O2 142/71 = 2 Answer C6H6O4 Chemical equation Reactants products Balanced chemical equation: Each side has the same # of atoms of each element (mass is conserved) o use coefficien ts (not subscribes) [11/20/08] put in phases into the equations when balancing (s) – solid (l) – liquid (g) – gas (aq) – aqueous o put them after the atoms or molecules Remember: if (g) then it may be a diatomic molecules Chemical Quantities and Aqueous RXNS 5/27/2009 7:44:00 PM [11/24/08] Stoichiometry Using a numerical relationship between chemical quantities in a balanced chemical reaction to calculate other quantities we can predict amount of product formed based on amount of reactant Moles to moles o 2Na + Cl2 2NaCl How many moles of NaCl will be produced from 3.4 moles of Cl2? 6.8 mol NaCl explained. 3.4 mol Cl2 (2 mol Nacl/1 mol Cl2) = 6.8 mol NaCl o H2 + Cl2 2HCl 4.8 mol Cl2 H2? 4.8 mol HCl? 9.6 mol o 4Al + 3O2 2Al2O2 3.7 2Al2O2 x (4 mol AL/2 mol 2Al2O2) = 7.4 mass- mass o must convert to moles first ex. N2 + 3H2 2NH3 5.4 g H2 1) calculate mass NH3: 5.4 g H2 (must convert to moles) o 5.4 g H2 / 2 g/mol = 2.7 mol H2 2) 2.7 mol H2 (2 mol NH3 / 3 mol H2) = 1.8 mol 3)1.8 mol NH3 x 17 mol = 30.6 g NH3 2C8H18 + 25O2 16CO2 + 18H2O o Calculate mass CO2 produced from 500g C8H18 500 C8H18 /114 C8H18 = 4.4 mol C8H18 4.4 mol C8H18 (16 CO2/2 C8H18) = 35.2 mol CO2 35 mol CO2 x 44g/mol = 1540 g CO2 For the reaction shown, calculate how many grams of each product form when 4.7 g Al completely reacts to form the following products. o 2 Al + Fe2O3 Al2O3 + 2Fe 9.74 g [12/1/08] How many grams of sodium oxide can be synthesized from 17.4 g of sodium? 4Na +O2 2Na2O o (17.4 g Na / 23 g/mol) = .76 mol Na o .76 x (2 Na2O / 4 Na) = .38 mol Na2O .38 x 62 g / mol = g 23.45 Na2O Limiting reactant problem (limiting reagent) The reactant that limits the amount of product we can get [12/2/08] Limiting reactant – o reactant that limits the amount of product in a reaction Theoretical yield – o amount of product that can be made in a chemical reaction based on the amount of limiting reactant Actual yieldo Amount of product that is actually produced in a reaction Percent yieldo (Actual yield/theoretical yield) x 100 [12/3/08] Consider the following reaction: o 2Al+3Cl2 2AlCl3 If we begin with .552 mol of Al and .887 mol of Cl, what is the limiting reactant and theoretical yield of AlCl3 in moles o .552 mol Al x (2 AlCl3 /2Al) = .552 AlCl3 o .887 mol Cl2 x (2 AlCl3 / 3O2) = .591 mol AlCl3 Consider the following reaction: Cu2O + C 2Cu + CO When 11.5 g of C are allowed to react with 114.5 g of Cu2O, 87.4 g of Cu are obtained. Find the limiting reactant, theoretical yield, and percent yield. o 11.5 /12 = .96 mol .96 * (2/1) = 1.92 o 114.5 /142.9 = .80 mol .80 * (2/1) = 1.60 o 87.4 / 63.5 = 1.38 mol o Limiting reactant – Cu2O o Theoretical yield- 1.6 mol Cu 8 63.5 g/ mol = 101.7 g o Actual yield – 87.4 g o Percent yield - (87.4/101.7) * 100 = 85.9 % Consider the following reaction: o 2FeCl3 3H2S 6HCl + Fe2S3 90 g FeCl3 52 g H2S a) limiting reactant – FeCl3 o 90/162 - .55 mol (6/2) = 1.65 mol o 52/34 – 1.53 mol (6/3) = 3.06 mol b) mass HCl produced – 60.6 g HCl o 1.65 x 36.5 = 60.6 g c) mass of excess reactant after RXN – 24 g o we used .55 mol FeCl3 (3 mol H2S/2 mol FeCl3) =.825 mol H2S is used o 1.53 mol - .825 mol = .705 mol excess remaining o .7 mol x (34 g /1 mol) = 24 g H2S remaining [12/4/08] 2NH3 + CO2 CH4N2O + H2O Find limiting reactant, theoretical yield, and actual yield and excess reactant: 136.4 kg NH3, 211.4 Kg CO2, actual – 168.4 CH4N2O NH3 - 8023.5 mol * (½) = 4011.75 mol * 60 g/mol = 240705 g CO2 - 4804.5 mol (1/1) = 4804.5 g LR – NH3 TY – 240.705 Actual yield – 168.4 / 240.705 = .6996 * 100 = 69.96 % Excess reactant – 8023.5 mol NH3 (1 CO2 / 2 NH3) = 4011.75 mol CO2 4804.5 mol– 4011.75 = 792.75 mol CO2 792.75 mol CO2 * 44 g/mol (CO2) = 34881 g CO2 [12/8/08] Pg. 143 - 2C8H18 + 25O2 16CO2 + 18H2O 48 Kg of C8H18 Change to g 48,000 g 48000 g / 114 g/mol = 421.05 421.05 * 25/2 = 5263.16 mol O2 5263.16 mol O2 * 32 g / mol = 168421 g O2 Solution Stochiometry Solute o Substance that gets dissolved ex. coffee grinds in water Solvent o Substance that does dissolving (Present in excess) ex. Water Solution o Homogeneous mixture of a solvent and one or more solutes Concentration o Measure of the amount of solute present in a given quantity (volume) of solution Increase amount of solute in a given amount of solution increases concentration Molarity = concentration o Denoted in brackets [x] o Units: mol / L = (M) = number of mol in solute per 1 liter of solution Written as a capitol M Ex. 5M “molar” o Molarity = moles of solute / liters of solution Ex. a solution has a volume of 250 mL and contains .7 mol NaCl. What is its molarity? .7 mol / .25 L = 2.8 M Ex. IV saline solutions : .9 g NaCl Cl 35.5 + Na 23 = 58.5 o .9/58.5 = .015 100 mL solution = .1 L Molarity? .015 mol / .1 L = .15 M ex. How many grams of sucrose C12H22O11 are contained in 1.72 L of a .758 M sucrose solution C 12*12 = 144. H = 22 * 1 = 22, 16* 11 = 176 = 342 g / mol 1.72 L x .758 M = 1.30 mol 1.3 mol x 342 g/mol = 444.6 g Diluting a solution o We have “stock solution” and we want to change it to another molarity M1V1 = M2V2 (molarity * volume… = mol) M1,V1 – molarity + volume of initial solute M2,V2 – molarity + volume of desired solution o Ex. To what volume should you dilute a .1 L of 15M NaOH to obtain a 1 M NaOH solution .1*15 = x*1 1.5 =1x 1.5=x Adding 1.4 L [12/9/08] How many mL of aqueous 2 M MgSO4 solution must be diluted with water to prepare 100 mL of aqueous.4 M MgSO4? o 2 * x = .4 * .1 o x = .02 * 1000 = 20 mL o 80 mL must be added (20 100) Solution Stoichiometry (Continued) Use mole ratio o Ex. 2Na3PO4 + 3CuCl2 Cu3(PO4)2 + 6NaCl What volume of .175 M Na3PO4 solution is necessarily to completely react with 95.4 mL of .102 M CuCl2? .0954 L x .102 M = .00973 mol CuCl2 (since Mol / L = M cross multiply) .00973 mol CuCl2 (2 mol Na3PO4 / 3 mol CuCl2) = .006487 mol Na3PO4a 1.75 M = (.006487 mol Na3PO4 / X L [x liters]) .006487/1.75 = 3706 L 37.06 mL o Ex. What amount in liters of 6 M H2SO4 is necessary to produce 25 g H2 according to the following RXN? 2 Al + 3 H2SO4 Al2(SO4)3 + 3H2 25 g / 2 g/mol = 12.5 mol H2 12.5 mol H2 x (3 mol H2SO4 / 3 mol H2) 12.5 mol H2SO4 / x L = 6 M 12.5/6 = 2.083 L o Steps when doing Stoichiometry problem Get to moles Use moles ratio Convert that to whatever is needed (molarity, mass, volume) [12/10/08] 2Al + 3H2SO4 Al2(SO4)3 + 3H2 How much of 2M H2SO4 to get 50 g H2, volume? 50 g / 2 g/mol = 25 mol H2 25 mol (3/3) = 25 mol H2SO4 Na2SO4 25 mol / x L = 2 M 25 mol / 2 M = 12.5 L + 2HCl H2SO4 + 2NaCl If we use 250 mL of a 6 M Na2SO4 Solution, how much of a 2M NaCl solution will be produced (what volume) X / .250 L = 6M 6 X .25 = 1.5 mol 1.5 mol (2 NaCl/1 Na2SO4) = 3 mol NaCl 3 mol / x L = 2M 3/2 = x L X = 1.5 L If we use 50 mL fo 2M solution, how much water do I add to get a .5 M solution? .05 * 2 = X * .5 .1 = .5x x = .2 L 200 mL add 150 mL Solution process Ex. Crystal in water o Individual solute ions break away from the crystal o These cations and anions become surrounded by solvent molecule (water surround each ion – water is polar) o ionic crystal dissolves electrolyte o compound that conducts an electric current when its in aqueous solution ions are mobile all ionic compounds are electrolytes nonelectrolyte – o compound that doesn’t conduct electricity in aqueous solutions ex. molecular compounds Strong electrolyte Weak electrolyte completely dissociates in solution - (bulb glows brightly) conducts electricity poorly (only fraction of solute exists as ions) (bulb glows dimly) Solubility Soluble – substance that dissolves in water Insoluble – doesn’t dissolve in water [12/11/08] Had a pop quiz [12/12/08] ex. soluable or insolubale AgBr - insoluble CaCl2 – soluble Pb(NO3)2 - soluble PbSO4 – insoluble Precipitation Reactions Precipitateo When ionic compounds come out of solution when there solubility is exceeded o Solid o insoluble product of a reaction in a solution Precipitation reaction (rxn) – o Reverse of dissolving o rxn that forms a precipitate upon mixing of two aqueous solutions [12/15/08] Precipitation reactions Ex. AX(aq) + BZ (aq) AZ + BX (Anion, Cation) Double replacement RXNu One is a solid and the other one is aqueous If both products are soluble no precipitate RXN Q: complete + balance RXN, determine precipitate forms o Ex. Ca(OH)2 (aq) + FeCl3 (aq) X 3Ca(OH)2 (aq) + 2FeCl3 (aq) 3CaCl2 + 2Fe(OH)3 2Fe(OH)3 is the precipitate and is a solid 3CaCl2 is aqueous o Ex. KI + NaCl KI (aq) + NaCl (aq) KCl + NaI No RXN since there is no precipitate (don’t need to put products o EX. Sodium Carbonate and Copper (II) Chloride solutions are mixed Na2CO3 + CuCl2 2NaCl + CuCO3 2NaCl is aqueous CuCl3 is a solid (or precipitate) Molecular equation o Shows the complete neutral formula for every compound in RXN o Ex. 3Ca(OH)2 (aq) + 2FeCl3 (aq) 3CaCl2 + 2Fe(OH)3 Complete Ionic equations o Shows reactants + products as they are actually present in a solution o Ex. 3Ca2+ + 6OH- + 2Fe3+ + 6Cl- 2Fe(OH)3 (s) + 3Ca2+ + 6Cl 2Fe(OH)3 (s) is the precipitate don’t combine things that aren’t the precipitate Spectator ions o Present but don’t participate in RXN to produce precipitate Net Ionic equation o Omit spectator ions o only shows ions that react to produce precipitate [12/18/08] Net Ionic Equation (continued…) o Ex. 3Ca2+ + 6OH- + 2Fe3+ + 6Cl- 2Fe(OH)3 (s) + 3Ca2+ + 6ClNet ionic equation - 6OH- + 2Fe3+ 2Fe(OH)3 Notes when balancing: subscripts are for charges, coefficients are for balancing Also always balance reactions When it says complete reactions must write if it’s a solid, or if its aqueous In complete reactions get rid of spectator ions(?) [until 1/6/09] Went over sheets 5.1-5.5, 214, 215 Yossi Quint [1/6/09] Gases Kinetic molecular theory – rules for an ideal gas 1. Particles are so small when compared to the distances between them that the volume of the individual particles can be assumed to be negligible (pretend that the volume isn’t there) o summation – volume of particles negligible compared to volume of gas [1/7/09] (cont…) 2. Particles are in constant motion Gases o collision of particles with wall of containers are the cause of pressure 3. Particles are assumed to exert no forces on each other o (no attraction or repulsion) 4. Average kinetic energy of gas particles is directly proportional to the Kelvin temperature of gas Uniformly fill a container (take shape of a container) Compressible mix with other gases Lower density Exert a pressure on its surroundings Atmospheric pressure results from collisions of molecules in air with objects decreases as climb up mountain because density of Earth’s atmosphere decreases as the altitude increases depends on weather + altitude sea level + fair weather = 760 mm Hg (mercury) o Barometer is used to measure pressure Other units: 1 atm = 760 mm Hg = 101.3 kpa = 101,300 pa = 760 tor = 14.7 psi o Problem: 450 kpa = 4.44 atm = 3374.4 mm Hg pressure = force/area o P = F/A = force per unit that results from collisions of a gas with surrounding objects absolute zero = 0 K = -273 C o motion of particles stop [1/8/09] To describe gases: Temperature (T) – measured in K Volume (V) – measured in L Pressure (P) – measured in atm, kpa Amount in moles (n) – measured in moles Amount of gas If we double amount of particle, pressure doubles Constant – T, V Volume If we reduce volume, pressure increases Temp Temp rises pressure rises Gas Laws – shows how a change in one property affects one or more of the others Boyles Law – V 1 / P or PV = constant o The volume of a gas and its pressure are inversely proportional at constant temperature and amount o P1V1 = P2V2 o Isotherm curve – curve on a graph that has the same temperature throughout (blue line o Charles’s law – T & V o The volume of a gas and its Kelvin temperature are direct proportional V T or V/T = constant o Isobar – a line that pressure is held constant o V1 / T1 = V2 / T2 Gay- Lussac’s laws – P & T o Pressure of a gas is directly proportional to Temperature if Volume is constant P T or P / T = constant P1 / T1 = P2 / T2 Isochore – a line on the graph where volume is held constant [1/9/09] Q: a sample of N2 gas has a pressure of 6.58 kpa at 539 K at 211 K, what is P? o A: 6.58 / 539 = P2/211 p = 2.58 kpa Combined Gas Laws PV / T = constant o P1V1 / T1 = P2V2 / T2 STP = Standard temperature + Pressure o 273 K, 1 atm o ex. 153 kpa , 30 L, 313 K (and STP) 1.51 * 30 /313 = 1x / 273 x = 39.5 L Avogadro’s Law If we increase the amount of gas volume increases o If pressure and temperature is constant V1 / n1 = V2 / n2 o N – amount of moles of gas o Ex. 4.8 L, .22 mol He - How many additional moles of He gas must be added to have volume 6.4? 4.8 / .22 = .64 / n n = .29 .29 -.22 = .07 mol Ideal Gas Law P1V1 / n1T1 = P2V2 / n2T2 o PV / nT = constant R : Ideal gas constant o R = 8.31 (L * Kpa / k * mol) what is in the parenthesis is the unit o R = .0821 (L * Kpa / atm * mol) PV = nRT o N - moles [1/12/09] What is the pressure in atm of .18 mol of gas in a 1.2 l flask at 298 k? (.18 * .0821 * 298) / 1.2 o 3.7 atm How many kg of CH4? Given: 2.24 x 106 L methane, 1.5 x 103 kpa, 315 k o (1.5 x 103 kpa * 2.24 x 106 L) /(8.31 * 315) = x mols o 3.36 x 109 / 2617.65 = 1.28 x 106 1.28 x 106 x 16 g/mol = 2.05 x 107 = 2.05 x 104 kg find molar mass? Given: .126 g, .112 L, 298 K, 1.06 atm o 1.06 * .112 = .0821 * 298 * x mol mol x = .00485 .136/.00485 = 28 g/mole Ideal gas Particles have no volume No attraction between particles * At high temperature and low pressure real gases act like ideal o we assume ideals Material for final ends 5/27/2009 7:44:00 PM Format What is 40 multiple choice short answer on it Sig figs, unit conversions, safety, density (m/v), prefixes, only need C K, scientific notation, accuracy vs. precision, mixtures, Dolton’s atomic theory, JJ Thompson, discovery electrons, protons, neutrons, weighted average, periodic tables, properties of parts of it, metals - non metals – metalloids, Alkali, alkaline, halogens, transitions, ions, mols, NA number, empirical, molecular, diatomic atoms, naming for ionic compounds, naming acids, percent composition (for each element). Balancing reactions, stoichiometry, limiting reactant, theoretical yield, actual yield, molarity, dilute, solubility, all gas laws What we are given polyatomic, solubility, periodic elements