Academic Chemistry UNIT 9 (Chapter 9) STOICHIOMETRY Name: Class Period: Test Date: 1 2/9/15 Calendar Monday 18 Tuesday 19 Wednesday 20 Thursday 21 Friday JANUARY 22 Mole Review Investigation: All that remains HW: pg. 3 29 25 26 27 28 Mol to mol conversions Mass to Mass and other conversions QUIZ HW: pg. 7 FEBRUARY 1 HW: pg. 10 2 Extra Stoichiometry Practice HW: pg. 12 3 4 HW: Finish Lab 5 Limiting Reagent Percent Yield Stoichiometry Lab Stoichiometry Lab HW: pg. 15 8 Limiting Reagent Practice Day/Percent Yield 9 HW: pg. 21 10 HW: Test Review 11 HW: Test Review 12 Test Review Due UNIT 9 TEST Begin Gases Unit S’MORE’S LAB P.15-16 HW: Study Scan to take you to the KHS Academic Chemistry Website! 2 MOLE REVIEW For conversions between mass, volume (of a gas), and number of particles, we use the ___________________________to guide our use of _____________________ _________________________. Chemical Conversion Factors to Know: 1 mole = molar mass (g) 1 mole = 6.02 x 1023 particles (atoms, ions, molecules, formula units) 1 mole = 22.4 L of a gas at STP STP = standard temperature and pressure (T = 273K, P = 1 atm) With dimensional analysis, you multiply the given by one or more conversion factors in the form of a fraction. Example: Practice Problems 1. What is the mass of 4.00 moles of oxygen gas? 2. What is the volume of 3.4 x 1025 molecules of CH4 at STP? Homework Problems: 3. What is the mass of the helium inside a balloon with a volume of 2.3 liters? 4. How many moles of water are in a 45 gram sample? 3 Investigation: All That Remains Predict the outcome and then test your prediction: How much solid mass will remain after decomposing 2.00g of sodium hydrogen carbonate by heating? (Hint: 2NaHCO3(s) -> Na2CO3(s) + CO2(g) + H2O(g)) Prediction (include your reasoning): Design: Plan your investigation with your team. Write your procedure, including any diagrams, in the space below. Be prepared to discuss your plan with the class. Safety: Discuss safety precautions that must be used and list them below. Investigate: After class discussion, write in the space below any changes to your original procedure. Data and Calculations: Analysis and Conclusions: 1. How did your final mass compare with your prediction? 2. What did you observe as you heated the sodium hydrogen carbonate? 3. Does your final mass measurement include either the water or carbon dioxide products? Explain. 4. Does your result match your prediction? Why or why not? 4 MOL TO MOL CONVERSIONS RECALL: Balancing Chemical Equations Directions: Using coefficients, balance the following equation - ____ C6H6 + ____O2 → ____CO2 + ____H2O Cooking Analogy: Grill Master K.T. Tiger has the art of grilled cheese sandwich making down to a science. The Grill Master's recipe requires 2 pieces of cheese between 2 slices of bread, grilled to perfection. What is the coefficient ratio of the ingredients to the product? 2 + 2 → ____ : ____ : ____ Grill Master Tiger knows that a 20 pack of sliced bread and a 20 pack of sliced cheese will always make the same number of grilled cheese sandwiches with no leftovers. How many? ____________________________________________________________________________________ What happens to the Grill Master's grilled cheese sandwiches if he changes the quantities of ingredients? Will he have enough ingredients? Will there be leftovers? ____________________________________________________________________________________ o Practice grilled cheese sandwich making here: http://phet.colorado.edu/en/simulation/reactants-products-and-leftovers What Cooking Really Is... STOICHIOMETRY: _____________________________________________________________________________________ N2 (g) + 3H2 (g) → 2NH3 (g) o How many molecules of each reactant are required to produce 2 molecules of product? Ratio? o ______________________________________________________________________________ How many moles of each reactant are required to produce 2 moles of product? Ratio? ______________________________________________________________________________ Instead of cups, teaspoons, or tablespoons, we have… 1. ______________________________________________: ___ molecule of nitrogen gas reacts with ___ molecules of hydrogen gas to produce ___ molecules of ammonia gas. It's always in the same coefficient ratio; just like 2 slices of bread plus 2 slices of cheese produce 1 grilled cheese sandwich! 5 2. ______________________________________________: ___ mol of nitrogen gas reacts with ___ mol of hydrogen gas to produce ___ mol of ammonia gas. 3. ______________________________________________: Law of conservation of mass says mass of reactants must ________________ mass of products. Mass of nitrogen gas = _________ and mass of hydrogen gas = ________ Their sum equals the mass of the products = ____________ 4. ______________________________________________: 1 mol of gas = __________________ at Standard Temperature and Pressure (STP) o _________ L of nitrogen gas reacts with __________ L of hydrogen gas to produce ________ L of ammonia. Mol to Mol Conversion Calculations: N2 (g) + 3H2 (g) → 2NH3 (g) What is the mole coefficient ratio of the above equation? ____ : ____ : ____ Because we know the ratio, we can calculate to find the number of moles of another substance. Example: How many mol of NH3 are produced when 0.60 mol of nitrogen gas reacts with hydrogen gas? Practice Problems Directions: Using the balanced chemical equation, calculate the following mol conversions - MnO2 + 4HCl → MnCl4 + 2H2O 1. How many mol of H2O are produced when 3.20 mol of MnO2 reacts with hydrochloric acid? 2. How many mol of HCl are consumed (used) when 1.65 mol of Manganese (IV) chloride are produced? 3. How many mol of water are produced when 4.35 moles of MnCl4 are also produced? 6 Homework: Interpreting Coefficients as Moles Directions: Given the equation, calculate each of the following; balance the equation if necessary - ____CH4 (g) + ____O2 (g) → ____CO2 (g) + ____H2O (g) 1. How many mol of carbon dioxide (CO2) are formed when 40 mol of oxygen (O2) is consumed? 2. How many mol of methane (CH4) are needed to form 200 mol of water? 3. How many mol of oxygen (O2) combine with 0.05 mol of methane (CH4)? ____NO (g) + ____O2 (g) → ____NO2 (g) 4. How many mol of oxygen (O2) combine with 500. mol of NO? 5. How many mol of NO2 are formed from 0.25 mol of NO? 6. a. If you have 80. mol of NO, how many mol of oxygen (O2) would you use? b. If you had started with 200. mol of oxygen (O2), how many would you have left? 7 MASS TO MASS AND OTHER UNIT CONVERSIONS RECALL: The Mole Highway...it's been expanded and construction is complete! Like before, the Mole Highway can be used as a map toward setting up an appropriate conversion HOW IT'S USED: 1. Find the starting point; use the value, substance, and unit you are given 2. Find the ending point; use the value, substance, and unit are you being required to solve 3. You must stay on the highway!!! 4. Each road taken represents 1 step in your conversion! 5. Once the destination is reached, solve mathematically by multiplying across the top, multiplying across the bottom, and dividing the top value by the bottom value. NOTE: 1. Before any math can be done, a BALANCED CHEMICAL EQUATION is required. 2. If the starting value isn't in the unit "mol," your first step is to convert it there. 3. Going from mol of substance A to mol of substance B requires a Mol to Mol conversion; USE YOUR COEFFICIENTS FROM THE BALANCED CHEMICAL EQUATION! Mass to Mass Conversion Calculations N2(g) + 3H2 (g) -> 2NH3 (g) Like yesterday, in order to go from the mass of one substance, to the mass of a new substance, a mol to mol conversion will be necessary. Example: Calculate the number of grams of NH3 produced by the reaction of 5.40 g of H2 with excess N2 (g). 8 Practice Problems - ALL UNITS ***Write a balanced formula, and then set up your conversion calculations.*** 1. How many grams of O2 (g) are produced when a sample of 29.2 g of water decomposes? 2. Using the same equation, how many liters of hydrogen gas are produced when 1.33 x 1017 molecules of water decompose? 2SO2 (g) + O2 (g) → 2SO3 (g) 3. How many liters of O2 are needed to produce 19.8 L of SO3? 4. How many molecules of oxygen are consumed in the formation of 187.4 L of SO3? 5. How many molecules of Sulfur dioxide are consumed in the formation of 4.41 x 1027 molecules of sulfur trioxide? 9 Homework: Mixed Mole Conversions 1. Find the molar mass of the following: a. 1 mol of CH4 = ____________g of CH4 b. 1 mol of Ag2SO4 = _______________g of Ag2SO4 c. 1 mol of P2O5 = _____________g of P2O5 d. ___________g of NaBr = 1 mol of NaBr e. ___________g of Al(NO3)3 = 1 mol of Al(NO3)3 f. ___________g of Ba3(PO4)2 = 1 mol of Ba3(PO4)2 CH4 (g) + 2O2 (g) CO2 (g) + 2H2O (g) 2. How many moles of O2 are needed to produce 5.2 moles of CO2? 3. How many liters of CH4 are needed to produce 0.38 grams of H2O at STP? 4. How many molecules of CO2 are produced from 12.9 grams of O2? 10 Mass, Volume, and Particle Stoichiometry Extra Practice Balance: ___Ba3(PO4)2 + ___HI (g) ___BaI2 + ___H3PO4 1. How many grams of BaI2 are produced from 4.37 x 1027 molecules of HI? 2. How many formula units of BaI2 are produced from 96.2g of HI? 3. How many grams of H3PO4 are produced from 2.0 moles of Ba3(PO4)2? 4. How many liters of HI are needed to produce 72.54g of BaI2 at STP? 5. Practice drawing the expanded Mole Highway from memory. Remember, the only addition is that Mol can now be converted to Mol. 11 Homework: Mass, Volume, and Particle Stoichiometry 1. If you have 1.91 x 1025 molecules of ethane (C2H6), how many molecules of oxygen are needed to react completely? (molecules= particles!) C2H6 + O2 CO2 + H2O 2. Aluminum and sulfur react to produce aluminum sulfide. How many grams of sulfur are needed to produce 18.62 grams of aluminum sulfide? 3. Ammonia and water combine to produce ammonium hydroxide. At STP, how many liters of water are needed to produce 6.54 liters of ammonium hydroxide? 4. How many atoms of phosphorus are needed to produce 16.0 x 1024 molecules of phosphine (PH3)? (atoms & molecules = particles!) P + H2 PH3 5. How many grams of oxygen are needed to produce 6.55 x 1024 formula units of potassium oxide? K + O2 K2O? 6. How many liters of hydrogen gas will be produced if 38.5 g of hydrochloric acid reacts with zinc? Zn + HCl ZnCl2 + H2 12 Limiting Reagents (Reactants) Back to cooking… 1. What is Grill Master Tigers' recipe for grilled cheese sandwiches?_______________________________________ 2. What happens if the Grill Master receives only half of his order of cheese for the day?____________________ 3. So, in this case, what is limiting the number of grilled cheese sandwiches he can make? ___________________ 4. What if the Grill Master received 3 times the amount of cheese he needed?_____________________________ 5. What would be limiting him in this case? ________________________________________________ Limiting Reagent (aka Limiting Reactant) The same thing applies to chemical reactions… N2 (g) + 3H2 (g) → 2NH3 (g) ___ mol of N2(g) reacts with ___ mol of H2 (g) mol to form __ mol of NH3 (g). What happens if you only have 0.5 mol of nitrogen gas? _____________________________________________________________________________________ How much hydrogen gas would you use? _____________________________________________________________________________________ How much ammonia would you make? _____________________________________________________________________________________ Limiting Reagent/Reactant:______________________________________________________________ _____________________________________________________________________________________ Excess Reagent/Reactant:__________________________________________________________ _____________________________________________________________________________________ Example: Sodium chloride can be prepared by the reaction of sodium metal with chlorine gas. Suppose that 6.70 mol of Na reacts with 3.20 mol of Cl2. What is the limiting reagent? Follow these five steps…. Step 1: ______________________________________________________________________________ Step 2: ______________________________________________________________________________ To do this, convert the given info for each reactant (mol, in this problem) to mol of product. If the original substances are given in grams, you’d have an extra step – converting mass to moles – but the rest of the process would be the same. NOTE: If the original substances are given in grams, what do you need to do before this step? o Convert to mol. 13 Step 3: ______________________________________________________________________________ You will have _____ answers for moles of product. Why? _________________________________ ________________________________________________________________________________ So which one do I use? _____________________________________________________________ The __________________ of the two answers is the ______________________________ because you only have enough reactants to make that amount. You will run out of the reactants before the larger amount is made. From this, you can figure out your limiting reagent and excess reagent. Step 4: ______________________________________________________________________________ Once you know your maximum product, look all the way to the ________ of that calculation. The reactant that produced that smaller amount of product is your _____________________. It “limited” you to making the ______________________________________________. The other reactant – that started the other calculation – is the _________________________. Step 5: ______________________________________________________________ Convert mol of your limiting reagent to mol of product (or whatever the original question asks for). Practice Problem 2Cu (s) + S (s) → Cu2S (s) 1. What is the limiting reagent when 80.0 g Cu reacts with 25.0 g of S? 2. What is the maximum number of grams of Copper (I) sulfide produced? 14 Homework: Limiting Reagent/Reactant Directions: Reference Notes #3 to complete the following Limiting Reagent word problems. Find a balanced chemical equation if necessary and follow the four steps. 1. What mass of water can be produced from 2.0 mol of H2 and 4.0 mol of O2? 2. What mass of water can be produced from 16 g of H2 and 8 g of O2? 3. What mass of water can be produced from 0.49 g of H2 and 1.3 g of O2? 4. What mass of water can be produced from 3.5 mol of H2 and 4.5 mol of O2? ____Cu + ____AgNO3 --> ____Cu(NO3)2 + ____Ag 5. How many mol of Ag can be produced from 6.3 mol of Cu and 4.2 moles of AgNO3? 6. What mass of Cu(NO3)2 can be produced from 5.5 g Cu and 1.95 g AgNO3? 7. How many mol of Ag can be produced from 1.5 g Cu and 7.2 g of AgNO3? 15 Percent Yield Cooking, yet again… Grill Master Tiger's recipe yields 10 grilled cheese sandwiches when 20 slices of bread and 20 slices of cheese are used So, the recipe tells you the theoretical yield: ________________________________________________ _____________________________________________________________________________________ What you actually make is the actual yield: _________________________________________________ _____________________________________________________________________________________ Percent yield: _____________________________________________________________________________________ _____________________________________________________________________________________ Formula: ____________________________ x 100 Food for Thought: Could the percent yield normally be larger than 100%? Smaller? What might cause the % yield to vary? Example: Using the following equation, what is the theoretical yield of CaO if 24.8g CaCO3 is heated? What is the percent yield if 13.1g of CaO is produced? Follow the steps below… o Step 1: Convert grams of the given substance to grams of the questioned substance. Which means… o 24.8 g of CaCO3 = _____g of CaO. Step 2: Use the formula to find percent yield. 16 Homework Percent Yield Applications Directions: Reference Notes #4 to complete the following percent yield word problems. All work must be shown. 1. A baker has a recipe for cookies that says he can bake a yield of 250 cookies. However, when he does bake them, he finds that he can only make 125. What is the percent yield? (Assume that all cookies are the exact same size as directed by the recipe) 2. A chemist runs an experiment and produces 100 g of sulfuric acid. The All-Knowing Chemistry Book states he should have made 123 g of sulfuric acid. What is the percent yield? 3. A farmer out checking his fields looks in on his Hawaiian flower tree. He notices only 15 blooming flowers. This is 73% of what it should be. What is the Hawaiian flower tree’s theoretical yield? 4. A man shelling pecans notices that each pecan is only producing 39% of the meat expected. In the Pecan Man’s Handbook, he reads that each pecan should have a mass of 200 g. What is the actual yield of each pecan? 5. Genny collected 1.05g of sodium carbonate by decomposing 2.00 g of sodium hydrogen carbonate. According to the chemical equation She should have been able to collect more. Use stoichiometry and the percent yield equation to find the percent yield of Genny’s experiment. 17 Academic Chemistry Unit 9 Test Review (Due on Feb 8th) STOICHIOMETRY TEST on Tuesday, February 9th 1. Define the following: a. Stoichiometry b. Limiting reagents c. Excess reagents d. Percent Yield e. Actual Yield f. Theoretical Yield 2. Find the molar mass of the following: a. __________g of CS2 c. _________g of P2O5 b. __________g of Ag3PO4 Directions: Balance the following equations and perform the appropriate conversions and calculations. ____HCl ____H2 + ____Cl2 3. How many grams of HCl are needed to produce 5.2 moles of Cl2? 4. How many moles of H2 are produced from 6.3 L of HCl at STP? 18 5. How many moles of Cl2 are produced from 12.9 grams of HCl? (see equation on previous page) ____BaSO4 + ____HI (g) ____BaI2 + ____H2SO4 6. How many moles of BaI2 are produced from 7.6 moles of HI? 7. How many grams of BaI2 are produced from 9.2L of HI at STP? 8. How many grams of H2SO4 are produced from 2.0 moles of BaSO4? 9. How many molecules of HI are needed to produce 72.54g of BaI2? 10. What is the volume of H2SO4 produced from .035 grams of HI at STP? 19 11. Balance the following equation and answer the questions that follow: ____Fe3O4 ____Fe + ____H2O a. + ____H2 What is the molar mass in grams of iron IV oxide? b. What is the limiting reagent if 36.0g of water reacts with 167.0g of Fe? c. Using the information in part b, If only 105 grams of Fe3O4 were produced, what is the percent yield of the reaction? 20 STAAR CHEMISTRY REFERENCE MATERIALS c = fX Speed of light = (frequency)(wavelength) Ephoton =hf Energy = (Planck's constant)(frequency) Energy = (Planck's constant)(speed of light) Ephoton (wavelength) sum of the partial pressures ) Total pressure of a gas = PT=PI+P2+P3+ ... of the component gases (Pressure)(volume) = (moles)(ideal gas constant)(temperature) (Initial pressure)(initial volume) (final pressure)(final volume) (Initial moles)(initial temperature) (final moles)(final temperature) (Initial pressure)(initial volume) = (final pressure)(final volume) (Initial volume) (final volume) (Initial temperature) (final temperature) PV = nRT nlh n2T2 p,v, = 5vÿ v, 5 (Initial volume) = (final volume) (Initial moles) hc Vi _ V2 (final moles) ni moles of solute Molarity = n2 mol M- liter of solution L ,on)(hydrox,de,on) H+lroH 1 w Ionization constant of water = ÿ concentration concentration 1 ]ÿ solution = ( solutionÿf) 2 ]1volume solution ( solution Volume of ]/molarity of l/molarity 2f) pH =-logarithm (hydrogen ion concentration) specificl( change in ) Heat gained or lost = (mass) heat J[temperature Enthalpyof / enthalpy ) ( enthalpy ) reaction = [of products - of reactants ViMI=V2M2 pH = -Iog[H+] C) = mc AT p zÿH= AHÿ(products) o - zÿHf(reactants) STAAR CHEMISTRY REFERENCE MATERIALS mass Density = volume m D -- -V . [ accepted value - experimental value ÿ wercenÿ error = / ÿ ÿ (100) \ accepted value / (. actuo[ ield ) Percent yield = \ theoretical yield (100) Avogadro's number = 6.02 x 1023 particles per mole h = Planck's constant = 6.63 x 10-34 J • s c = speed of light = 3.00 x 108 m s z4[ ÿmol 2 Kw= ionization constantofwater = 1.00x10-ÿT) alpha particle (ÿz) 4 = He beta particle 0 (13) =neutron _1e 01n = standard temperature and pressure (STP) = 0°C and 1 arm 0°C = 273 K volume of ideal gas at STP = 22.4 L mol lcm3 = lmL = lcc 1 atm = 760 mm Hg = 101.3 kPa R = ideal gas constant = 0.0821 - 8.31 = 62.4 mol. K mol. K mol. K 1 calorie (cal) = 4.18 joules (J) 1000 calories (cal) = 1 Calorie (Cal) = 1 kilocalorie (kcal) ..... £ ': ,. " 1. Non-zero digits and zeros between non-zero digits are always significant. 2. Leading zeros are not significant. 3. Zeros to the right of all non-zero digits are only significant if a decimal point is shown. 4. For values written in scientific notation, the digits in the coefficient are significant. 5. In a common logarithm, there are as many digits after the decimal point as there are significant figures in the original number. 7 6 5 4 3 2 1 3 104 103 88 (262) (226) Radium (223) Francium (267) Rf 7 7B Actinide Series Lanthanide Series 60 231.036 Protactinium 232.038 Thorium (227) Actinium 91 Pa Ac Th 89 90 140.908 Cerium 144.242 (145) 61 Pm Hassium (270) 108 Hs 190.23 Osmium Os 76 Ruthenium 101.07 44 Ru Iron 55.845 Fe 26 8 Silicon 28.086 Si Uranium 238.029 U 92 Neptunium (237) 93 Np Praseodymium Neodymium Promethium 140.116 138.905 Nd 59 Lanthanum La Pr 58 Bohrium (271) Seaborgium (272) 107 Bh (268) Sg 106 Rhenium 186.207 Re 75 Dubnium 105 183.84 Tungsten 180.948 Tantalum 74 W Db (98) 43 Tc Manganese 54.938 Mn 25 Molybdenum Technetium 95.96 42 Mo Chromium 51.996 Cr 24 6 6B Ta 73 Niobium 92.906 41 Nb Vanadium 50.942 V 23 5 5B Atomic mass Symbol Ce 57 Lawrencium Rutherfordium Lr Ra 87 Fr 178.49 Hafnium Lutetium Barium Cesium 174.967 137.328 132.905 Hf Ba Lu 72 71 Cs 56 55 Zirconium 91.224 40 Zr Yttrium 88.906 87.62 Strontium 85.468 Rubidium Y 39 Sr 38 Rb 37 47.867 Titanium 44.956 Scandium 40.078 Calcium 39.098 Potassium 22 Ti 21 4 4B Sc 19 3 3B Ca 20 Sodium K 24.305 Magnesium 22.990 Mg 12 11 Na 9.012 Beryllium 6.941 Lithium Li Be 4 Hydrogen 1.008 2 2A H Name 10 11 1B 12 2B 13 3A 14 4A 15 5A 16 6A 17 7A (281) Ds 110 Platinum 195.085 Pt 78 Palladium 106.42 46 Pd Nickel 58.693 Ni 28 (280) 111 Rg Gold 196.967 Au 79 Silver 107.868 47 Ag Copper 63.546 Cu 29 Plutonium (244) 94 Pu Samarium 150.36 62 Sm (247) Curium (243) 96 Cm Americium 95 Am 157.25 Gadolinium 151.964 64 Gd Europium 63 Eu Meitnerium Darmstadtium Roentgenium (276) Mt 109 Iridium 192.217 Ir 77 Rhodium 102.906 45 Rh Cobalt 58.933 Co 27 9 8B Thallium 204.383 Tl 81 Indium 114.818 49 In Gallium 69.723 Ga 31 Lead 207.2 Pb 82 Tin 118.711 50 Sn Germanium 72.64 Ge 32 Silicon 28.086 Si 14 Carbon 12.011 C 6 Bismuth 208.980 Bi 83 Antimony 121.760 51 Sb Arsenic 74.922 As 33 30.974 Phosphorus P 15 Nitrogen 14.007 N 7 Berkelium (247) 97 Bk Terbium 158.925 65 Tb Californium (251) 98 Cf Dysprosium 162.500 66 Dy Einsteinium (252) 99 Es Holmium 164.930 67 Ho Fermium (257) 100 Fm Erbium 167.259 68 Er Mass numbers in parentheses are those of the most stable or most common isotope. Mercury 200.59 Hg 80 Cadmium 112.412 48 Cd Zinc 65.38 Zn 30 Aluminum 26.982 Al 13 Boron 10.812 B 5 Mendelevium (258) 101 Md Thulium 168.934 69 Tm Polonium (209) Po 84 Tellurium 127.60 52 Te Selenium 78.96 Se 34 Sulfur 32.066 S 16 Oxygen 15.999 O 8 Radon (222) 86 Rn Xenon 131.294 54 Xe Krypton 83.798 36 Kr Argon 39.948 18 Ar Neon 20.180 10 Ne Helium Updated Spring 2011 Nobelium (259) 102 No Ytterbium 173.055 70 Yb Astatine (210) At 85 Iodine 126.904 I 53 Bromine 79.904 Br 35 Chlorine 35.453 Cl 17 Fluorine 18.998 F 9 4.003 He 2 14 1 Atomic number 18 8A 1 1A PERIODIC TABLE OF THE ELEMENTS STAAR CHEMISTRY REFERENCE MATERIALS
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