Unit Five: Moles and Stoichiometry Teacher Copy 0 Unit Five: Moles and Stoichiometry Table of Contents: Pg. 1 Table of Contents Pg. 2 Mole Map Pg. 3 The Mole Pg. 3-4 Mole Calculations (Assignment on Pg. 18 & 19) Pg. 5 Molar Mass (Assignment on Pg. 20) Pg. 5-6 Mole-Mass Conversions Pg. 6 # of Items- Mass Conversions (Assignment on Pg. 21) Pg. 7 Percent Composition (Assignment on Pg. 22) Pg. 7 Empirical Formula (Assignment on Pg. 23) Pg. 8 Calculating moles of a gas (Assignment on Pg 24) Pg. 8-9 Concentration (Assignment on Pg. 25) Pg. 9-10 Stoichiometry (Assignment on Pg 26) Pg. 10 Volume- Volume Stoich (Assignment on Pg. 27) Pg. 11 Mass Stoich (Assignment on Pg. 28) Pg. 12 Mixed Stoich (Assignment on Pg. 29) Pg. 12-14 Limiting Reagents (Assignment on Pg. 30 & Pg. 31) Pg. 15-16 Limiting Reagent Lab 1 Mole Map 2 Avogadro’s Number: Since atoms and molecules are so tiny we cannot work with them individually; instead we work with moles of atoms and molecules. A mole = Avogadro’s number = 6.022x1023 (similarly to how 1 dozen=12) Named after Amedeo Avogadro The name avogadro’s number was changed to avogadro’s constant when it became an SI unit. Avogadro’s number is often represented by the symbol n in formulas, but the units are moles (mol). Because atoms are so small we work in moles instead of atoms. If we had 1 mole of peas on the earth it would cover the earth 8 km deep. Calculate the number of moles: If you have 24 pencils, how many dozen pencils do you have? Remember we are actually multiplying by 1, so we are not changing the number. Unit Conversions: # & units given x units we want . units we were given Map: When converting # of items to moles or vice versa, we must remember that 1 mole = 6.022 x 1023 Ex. If you have 3.60 x 1020 pencils how many moles of pencils is that? (Remember Sig. Figs) Examples: If you have 1.20 mols of carbon dioxide how many molecules of carbon dioxide do you have? If you have 4.678x1020 atoms of carbon, how many moles is that? Note that Moles can be used to calculate quantity of anything. This means it could be atoms, molecules, formula units, ions, peanuts, books… anything! 3 More Calculations with Moles: How many dozen pieces of bread are there in 2 dozen sandwiches? (assume 2 pieces of bread per sandwich) How many atoms of carbon are in 1 molecule of CO2? 1 How many atoms of oxygen are in 1 molecule of CO2? 2 How many moles of carbon are in 1 mole of CO2? 1 mol How many moles of oxygen are there in 2.0 moles of carbon dioxide? How many moles of oxygen are there in 2.0 moles of acetic acid? You may need 2 conversion factors if you are going from # of one thing to moles of another thing or vice versa. For example, if you are given atoms of carbon in carbon dioxide and asked to find the number of moles of carbon dioxide, you will need 2 conversion factors. Map: A solution of calcium chloride contains 4.3 x 1024 chloride ions. How many moles of calcium chloride are in the solution? A sample of hydrogen gas contains 5.0 moles of hydrogen molecules. How many hydrogen atoms are in the sample? If there are 3.98x1031 atoms of hydrogen in a sample of acetic acid, how many moles of acetic acid are there? 4 Molar Mass: Avogadro’s number is not a randomly contrived number. It is based off of the carbon -12 isotope. There are 6.022x1023 atoms of carbon in 12.00grams of carbon-12 isotope. This means if there is a mole of something, there is the same number of that thing as there are atoms in 12 grams of carbon. Molar mass of an element is the mass that one mole of that element has. For carbon-12, this would be 12g/mole. But for carbon it is 12.01g/mole, because it is the average mass of all isotopes (similarly to how the average atomic mass was the relative average atomic mass of each isotope). The molar mass of an element is found on the periodic table and has units grams/mole. Molar Mass of Atoms: The molar mass of an atom is found by using the periodic table. The molar mass is the number at the bottom of the box, but you need to add the units g/mol Examples: The molar mass of hydrogen: 1.008g/mol Aluminum: 26.98g/mol Oxygen: 15.999g/mol Scandium: 44.96g/mol Molar Mass of Compounds: Molar mass of a compound is the mass that one mole of that compound has. This can be found by adding up the molar mass of each atom in the compound. Examples Hydrogen molecule: H2: H + H= 1.008g/mol+1.008 g/mol=2.016 g/mol NaOH: Na + O + H= 22.99g/mol+15.99 g/mol+1.008 g/mol= 39.99 g/mol C6H12O6: 6xC + 12xH + 6xO= 6x12.01 g/mol + 12x1.008 g/mol + 6x15.99 g/mol= 180.16 g/mol Aluminum Borate: AlBO3: Al+B+3xO= 26.98g/mol + 10.81g/mol + 3x15.99g/mol= 85.76g/mol Mole-Mass Conversions You can use the formula: mass = molar mass x moles but I would recommend using the unit conversion method. # & units given x units we want . units we were given Map Update 5 Ex. How many grams of Sodium are in 7.124 moles of sodium? Write down what we are given and the division line for the conversion factor. Then we write the units we have on the bottom and the units we want on the top of the conversion factor. Then we fill in the appropriate numbers in our conversion factor (molar mass paired with grams and 1 paired with moles). Ex. How many moles of carbon are in a 3.98 g sample of carbon? **Remember: whenever atoms, molecules, formula units or ions is mentioned, you will need to use Avogadro`s number. When mass or grams or weight is mentioned, you will need to use molar mass in your conversion factor** Ex. How many moles of water are in a 250.0 g sample of water? # of items-Mass conversions We can use molar mass to convert mass to moles and moles to mass and we can use avogadro’s number to convert moles to units and units to moles. This means we can now go from mass to units and units to mass using molar mass and Avogadro’s number. For these questions we will have to use 2 conversion factors. Whenever you are given something that is not moles, you must convert to moles first (using a conversion factor). o You can use the “map” to help you determine the path you need to take, but you will not be given the “map” on an exam. Ex. How many atoms of sodium are in 5.34g of sodium? Ex. How many grams of carbon dioxide are there in 7.398x1021 atoms of carbon dioxide? Remember: if the problem mentions mass, weight or grams use molar mass. Percent Composition: Percent composition tells us the percent by mass that one element takes up in a compound. This is done by taking the molar mass of the atom and multiplying it by how many of that atom is in the compound and dividing by the molar mass or the compound. 6 % composition = (# of x atoms molar mass of element x) molar mass of compound Ex. What is the percent composition of each element in sulfuric acid? Ex. How many grams of hydrogen could be extracted from 100 grams of sulfuric acid? % composition x mass of compound Ex. How many grams of carbon could be extracted from 15 grams of methane? Determining Empirical Formula: An empirical formula of a compound is the lowest whole number ratio the components or elements of the can make. In order to determine the empirical formula, we need the percent composition of each atom in the compound. o We then take the % composition of each atom (ignore all units) and divide it by that atoms molar mass. We do this for each atom in the compound. o We then take the lowest number we get and divide each other number by this number and round our answers to the 1’s place. This will give us the lowest ratio that these elements combine in. Ex. 24.7% Potassium, 34.8% Manganese, and 40.5% Oxygen. Ex. 2.8% Hydrogen, 97.2% Chlorine Calculating moles of a gas: In 1811, the Amedeo Avogadro proposed the principle that equal volumes of gases at the same temperature and pressure contain equal numbers of molecules. He determined that at standard temperature and pressure, one mole of gas occupies 22.41410 L (usually rounded to 22.4 L). This means that 1 mole of carbon dioxide gas and one mole of hydrogen gas will take up the same volume if they have the same temperature and pressure. At standard temperature and pressure, this volume is 22.4L. Standard temperature and pressure is (273K (0oC) and 1 atm). This means that 1 mole of any gas at STP takes up 22.4L of space. We can use this relation to 7 convert volume of a gas to moles of a gas. (Update Map) Ex. How many moles of neon gas (@ STP) are in 6.9L? Ex. How many litres will 2.83 moles of carbon dioxide gas take up at standard temperature and pressure? Ex. How many molecules of oxygen gas are there in 32.3L at STP? Calculating Concentration: Solubility is the physical property referring to the ability of a substance (solute) to dissolve in a solvent. Molarity = Number of moles of solute dissolved in one liter of solution o has units “mole/L”, represented by “M” (molar) o To calculate molarity you must first find the number of moles of solute and divide by the volume of solution (in liters). o Molarity= moles of solute . volume of solution (L) o Concentration questions can be difficult to complete using the conversion factor method, so it may just be easier to use the formula. (Update Map) Examples: Determine the molarity of a solution created by dissolving 2.0 g of sodium hydroxide in 30mL of water. Determine what volume of water you would need to add to 3.5 moles of sodium hydroxide to make a 1.0 M solution. Determine the mass of sodium hydroxide that would need to be dissolved in 0.500L of water to create a 0.50 M solution. 8 Stoichiometry Stoichiometry uses the quantitative relationship between reactants and products in a chemical reaction to determine the quantities of reactants and products in a certain chemical reaction. (Look at map) Mole-mole problems: In a balanced equation we can determine how many moles of one reactant or product is needed to react with or produce another reactant or product. We can use a conversion factor and use the coefficients for the conversion factor. Ex. 4P +5O2 2P2O5 If we have 5 molecules of oxygen how many molecules of di-phosphorus pentoxide will be produced? How many atoms of phosphorus are required? If we have 5 dozen molecules of oxygen how many dozen molecules of di-phosphorus pentoxide will be produced? How many dozen atoms of phosphorus are required? If we have 5 moles of oxygen molecules how many moles of di-phosphorus pentoxide molecules will be produced? How many moles of phosphorus atoms are required? Ex. NaCl +F2 NaF + Cl2 How many moles of fluorine molecules are needed to completely react with 3 moles of sodium chloride? MAKE SURE EQUATION IS BALANCED! Ex. Na + H2O NaOH + H2 How many moles of hydrogen (molecules) are produced from a reaction with 5 moles of water and excess sodium? BALANCE! 9 Volume-Volume Stoichiometry Problems: Remember the volumes of different gases at the same temperature and pressure have the same volume. For example 1 Litre of Oxygen gas would have the same number of molecules as 1 Litre of Nitrogen gas at the same temperature and pressure. Also, If we had 1 mole of oxygen and 1 mole of Nitrogen gas at the same temperature and pressure, they would have the same volume. (Update Map) Ex. H2 + NO H2O +N2 If we use 2 litres of nitrogen oxide, how many litres of hydrogen would be needed? How many litres of Water vapour? How many litres of nitrogen? The coefficients can be used to relate volume as well as moles, because gases of equal volumes contain the same number of moles (as long as we have constant temperature and pressure). Ex In the above reaction, if we have 7.5 Litres of Hydrogen gas, how many Litres of Nitrogen oxide are needed to completely react? Ex. C3H8 + O2 CO2 + H2O For the reaction above, how many liters of water vapor are produced when 18.6L of propane gas are reacted with an excess of oxygen? How many Litres of oxygen gas are required to produce 4.67 Litres of CO2 (assuming we have unlimited propane)? Mass Stoichiometry We know that the mole to mole ratio of any 2 substances involved in the reaction is equal to the ratio of their coefficients in the balanced equation. We are also able to convert mass to moles and moles to mass. This means we are now able to determine the mass of one compound in a reaction, given the mass of another. (Look @ Map) 10 Ex. Iron metal mixes with Copper (II) Sulfate in solution to form a reaction. If we use 2.24g of iron metal, how much copper (II) sulfate is needed to fully react with the iron? Balanced equation: We are going to go from mass of Iron to mass of copper (II) sulfate. To do this we need to go from mass of iron to moles of iron, then from moles of iron to moles of copper (II) sulfate. Then we need to go from moles of copper (II) sulfate to mass of copper (II) sulfate. This means we need THREE conversion factors. (See Map) Ex. For the reaction between sodium hydroxide and sulfuric acid, if we have a mass of 5.6g of sodium hydroxide and excess sulfuric acid, what is the mass of sodium sulfate produced? Ex. KClO3 KCl + O2 In the reaction above, if we produce 5.9g of potassium chloride, what is the mass of potassium chlorate that we started with? What mass of oxygen would be produced? Look at mass of reactants vs. mass of products: 11 Mixed Stoichiometric Problems Ex. For the reaction between zinc and hydrochloric acid: If we start with 0.500g of zinc, what volume of 1.0M solution hydrochloric acid do we need? Ex. For a reaction between vinegar & baking soda (acetic acid and sodium bicarbonate): Note: A 5.0% solution of vinegar means there are 5.0 g of acetic acid for every 100mL of solution. So if we use 50mL of vinegar that means we are using 2.5g of acetic acid. What volume of carbon dioxide will be produced if we mix 50mL of 5% vinegar with excess baking soda? First figure out the equation: Acetic acid + sodium bicarbonate And carbonic acid decomposes to produce water and carbon dioxide: Final reaction: Calculations: What mass of sodium bicarbonate is needed to complete this reaction? 12 Limiting Reagents: In a chemical reaction, you may have one reactant that limits the other one, because there is not enough of it to react with all of the other reactant. Sandwiches Analogy: When making a sandwich you need two pieces of bread and on piece of bologna. If we had 20 pieces if bread and 3 pieces of bologna we could only make 3 sandwiches. Demonstration Observe 4 reactions of vinegar and sodium bicarbonate all will have 50mL of vinegar and the mass of sodium bicarbonate will change. Predict what you think will happen when 50mL of vinegar are mixed with 1.0g of baking soda, 2.0g of baking soda, 3.5g of baking soda, and 4.5g of baking soda if we put a balloon over the Erlenmeyer flask to capture any gas. Observations: (draw what you see) Yesterday’s calculations we found out that when we use 50mL of 5% acetic acid solutions, we require 3.5g of sodium bicarbonate to completely react. Trial 1: use 1.0g of NaHCO3 and 50mL CH3COOH: extra vinegar left over: NaHCO3 all used Trial 2: use 2.0g of NaHCO3 and 50mL CH3COOH: extra vinegar left over: NaHCO3 all used Trial 3: use 3.5g of NaHCO3 and 50mL CH3COOH: perfect amount of each: both all used up Trial 4: use 4.5g of NaHCO3 and 50mL CH3COOH: extra NaHCO3 left over: vinegar all used up In most chemical reactions one reactant is in excess and one is limiting. Deciding which reactants are the limiting reagents and the reactants in excess when given masses of both reactants: 1. Write the balanced chemical equation for the chemical reaction 2. Determine how many moles of each reactant you have. 3. Use the stoichiometric ratio to determine which reactant it limiting. You can complete this step by choosing one reactant (reactant a) and figuring out how many moles of the other reactant (reactant b) are required. If you need more moles of reactant be than you have, reactant b is your limiting reagent. If you have more moles of reactant b than what you calculated as required, reactant a is limiting. Remember the limiting reagent is the reactant that you do not have enough of. 4. Use the limiting reagent to determine the amount product produced. 5. If you are asked to determine the amount of excess reagent you have, you must use the mole quantity of the limiting reagent to determine the mass of the other reactant required. Then you would subtract the mass required from the mass you have. 13 Examples Ex 1. _____Zn + _____HCl -----> _____ZnCl2 + _____H2 If we combined 2.0g of zinc with 3.0g of HCl, which of the reactants is limiting? How much of the excess reagent will be left over? What volume of H2 will be produced? Zn= 2.0g, HCl= 3.0g Moles of Zn: Moles of HCl: Stoichiometric ratio: Limiting reagent: Excess left over: Volume of H2 produced: Ex 2. _____CaCO3 + _____HCl -----> _____CaCl2 + _____CO2 + _____H2O If we combine 2.0g CaCO3 with 1.0g of HCl, which reactant is limiting? Determine # of moles of each reactant: (Balance equation first) Use stoichiometric ratio to determine limiting reagent: Ex 3. For the reaction between 0.287g of magnesium and 10mL of 0.50M hydrochloric acid, determine the limiting reagent, the mass of excess reagent left over, and the volume of hydrogen gas produced. 14 Date: Class: Limiting Reagents Lab Name: Partners: There is no background information for this lab. Instead you should use your notes as background information. Purpose: to investigate the stoichiometric relationship of a chemical reaction involving a precipitate. Materials: 25mL graduated cylinder 2 100mL beakers Spatula/scoopula Funnel Filter paper Erlenmeyer flask Distilled water Sodium carbonate Calcium chloride dihydrate Procedure: Day 1: 1. Gather together the following: a 25 mL graduated cylinder, two 100 mL beakers, and spatula. 2. Wash all equipment. Dry equipment thoroughly with paper towel. 3. Set up your filtration system (funnel in an Erlenmeyer flask). 4. Using tape & a pen, label the 100 mL beakers “sodium carbonate” and “calcium chloride dihydrate”. 5. Weigh 0.50 g sodium carbonate & 1.00 g calcium chloride dihydrate into separate 100 mL beakers (place the beaker on the scale, press tare, when the scale reads 0 carefully add the desired mass a little at a time). Record the masses you’ve used. Mass of sodium carbonate:__________________________g Mass of calcium chloride dihydrate:__________________________g 6. Add 10 – 15 mL of distilled water to each 100 mL beaker. Gently swirl the contents of the beakers to dissolve the solids. All solid should be dissolved before you proceed (this will take 1 – 2 minutes). 7. Pour the calcium chloride dihydrate solution into the sodium carbonate solution (not the other way around). You will see calcium carbonate form. Swirl this mixture gently for 10 – 20 seconds. 8. Get two pieces of filter paper. Weigh both together and record the mass: ______________________ g 9. With the pieces of filter paper together, fold them to make a cone (you may want to wet the filter paper). Place the empty beaker under the funnel. Swirl the mixture & pour it into the funnel. Add 3-5 mL of distilled H2O to the beaker that held the mixture. Using a spatula, thoroughly scrape the sides and bottom of the beaker to dislodge all remaining residue. Pour this liquid into the funnel. Repeat this rinsing procedure (3-5 mL distilled H2O and scraping) twice more to ensure that you have all of the calcium carbonate residue. You are not measuring the amount of filtrate (amount of water in the bottom) so don’t worry about adding more water than recommended. 15 10. If the filtrate appears cloudy, pour the filtrate back into the funnel to filter the liquid for a second time. If the filtrate is clear, carefully remove the filter paper (with solid) and lay it on a piece of paper towel. Put your name on the paper towel and leave it on the counter at the side of the room. 11. Wash equipment well with tap water. Return equipment & wipe off your bench. Day 2 12. Weigh the filter paper containing the dry CaCO3. Be careful not to spill any solid. 13. Calculate the mass of CaCO3 produced: filter paper & CaCO3 ________________ g - filter paper (see above) _____________________ g = ____________________ g. Keep your filter paper (with product) and filtrate until you have answered all of the questions below. 14. After your questions are answered, throw the filter paper in the garbage and clean up your area. Analysis Questions: (show calculations for all questions where calculations are required) 1. You observed the reaction of calcium chloride dihydrate with sodium carbonate to form calcium carbonate and sodium chloride. Write the balanced chemical equation for this reaction (the “dihydrate” is not involved in the chemical reaction. On the products side of the equation, you can simply represent it as two solitary water molecules). Look at your balanced equation. Only one compound forms a solid. All other compounds are aqueous. Reflect this in your equation by adding “(s)” or “(aq)” after each compound. 2. Which chemical is the limiting reagent in this lab? 3. Which reactant is there an excess of? What mass of the excess reagent would have been left unreacted? Where is the excess reagent after the reaction and filtration? 4. How many grams of NaCl should be produced from today’s lab? Where is the NaCl after the reaction and filtration? 5. How many grams of CaCO3 should be produced from today’s lab? 6. How many grams of CaCO3 would be produced if the other reagent was the limiting reagent? 7. Was the mass of CaCO3 correctly predicted? (In other words, was the actual mass close to the calculated amount?) Conclusion: . Discuss results compared to hypothesis. Calculate percent yield: . . Actual yield x 100 = % yield Theoretical yield 16 Name:_______________________________ # of Items – Mole Conversion Assignment 1. How many molecules are in the quantities below? a. 2.0 moles b. 1.5 moles c. 0.75 moles d. 15 moles e. 0.35 mole 2. How many moles are in the number of molecules below? a. 6.02 x 1023 b. 1.204 x 1024 c. 1.5 x 1020 d. 3.4 x 1026 e. 7.5 a 1019 3. How many Magnesium Bicarbonate molecules are in 7.82 moles? 4. How many molecules of Barium Iodide would be in 3.782 moles? 5. If you have 2.785 x 106 molecules of Magnesium Bromate, how many moles would that be? 6. If you have 6 molecules of Sodium Carbonate, how many moles do you have? 7. If you have 6.65 moles of Aluminum Phosphate, how many molecules of Aluminum Phosphate do you have? 8. How many moles of Calcium Carbonate are there if there are 2.839 x 1018 molecules? 17 Name:_________________________ Mole-Mole Calculations Assignment 1. Number of moles of sodium in 1 mole of sodium hydroxide. 2. Number of moles of oxygen atoms in 2 moles of sodium hydroxide. 3. Number of moles of oxygen atoms in 1 mole of Chromium (II) Oxalate. 4. If you know there are 4 moles of oxygen in a sample of phosphoric acid, how many moles of phosphoric acid molecules are there? 5. If there are 6 moles of chlorine in a sample of carbon tetrachloride, how many moles of carbon tetrachloride molecules are there? 6. How many moles of Carbon are there in 1 mole of CH3COOH 7. Number of Hydrogen atoms in 2 moles of Phosphorus acid. 8. Number of ammonium ions in 3 moles of ammonium borate. 9. How many iodine atoms are in 2 moles of phosphorus triiodide. 10. How many atoms of Hydrogen are in 3.837 moles of Hydrogen gas? 11. How many atoms of Sodium are in 7.82 moles of Sodium Hydroxide? 12. How many atoms of Iodine are in 3.84 moles of Aluminum Iodine? 18 Name:_______________________ Molar Mass Assignment 1. Determine the molar mass of the following elements: a. Nitrogen: b. Tin: c. Gold: 2. Which element has a molar mass of: a. 9.0122g/mol? b. 50.9415g/mol? c. 114.82g/mol? 3. Determine the molar mass of the following compounds: a. CI4 b. LiNH4 c. K2C2O4 d. KMnO4 e. KCl f. Na2SO4 g. Ca(NO3)2 h. Al2(SO4)3 i. (NH4)3PO4 j. CuSO4 5H2O (copper (II) sulphate pentahydrate: means copper (II) sulphate surrounded by 5 water molecules) k. Lead (II) Iodate l. Benzoic acid m. Zinc Sulfite n. Barium Iodide o. Iodine gas p. Magnesium Bromide q. Copper (II) Iodide r. Iron (III) Bisulphate 19 Name:__________________________ # of Item – Mass Conversion Assignment 1. Determine the number of moles in each of the quantities below: a. 25g of NaCl b. 125g of H2SO4 c. 100. g of KMnO4 d. 35g of CuSO4 5H2O 2. Determine the number of grams in each of the quantities below: a. 2.5 moles of NaCl b. 0.50 moles of H2SO4 c. 1.70 moles of KMnO4 d. 3.2 moles of CuSO4 5H2O 3. How many atoms of Aluminum are in 32.32g of aluminum? 4. What is the mass of 3.432 x 1034 molecules of carbon tetrafluoride? 5. How many atoms of magnesium carbonate are there in 6.73g of magnesium carbonate? 6. What is the mass of 7.29x1027 molecules of hydrochloric acid? 7. How many formula units of Mercury (II) Perchlorate are in 0.798Kg? 8. How many molecules of hydrochloric acid are in a 7.32g sample? 9. How many hydrogen atoms are in a 2.50g sample of hydrogen gas? 20 Name:______________________________ Mole-Volume Conversion Assignment Assume all information given at Standard Temperature and Pressure (STP). 1. What volume will the following quantities of gases occupy at STP? a. 1.00 mole of H2 b. 3.20 moles of O2 c. 0.750 moles of N2 d. 1.75 moles of CO2 e. 0.50 moles of NH3 f. 5.0g of H2 g. 100. g of O2 h. 28.0g of N2 i. 60. g of CO2 j. 10. g of NH3 2. What is the mass of a sample of carbon dioxide that contains 2.38 moles of carbon dioxide @STP? 3. How many moles of Neon gas are there in 74.2 Liters @STP? 4. How many moles of Carbon Monoxide are in 7.38 Liters @STP? 5. How many milliliters of Iodine gas would 3.782 moles take up at 0oC and 1 atm? 6. What is the mass of 32.8L of CO2 gas? 7. If you have 2.8g of chlorine gas, how many liters would it take up? 21 Name:________________________ Molarity Calculations 1. What is the molarity of a solution in which 58g of NaCl are dissolved in 1.0L of solution? 2. What is the molarity of a solution in which 10.0g of AgNO3 is dissolved in 500. mL of solution? 3. How many grams of KNO3 should be used to prepare 2.00 L of a 0.500 M solution? 4. To what volume should 5.0 g of KCl be diluted in order to prepare a 0.25 M solution? 5. How many grams of CuSO4 5H2O are needed to prepare 100. mL of a .10 M solution? Name:___________________________________ Mixed Mole Problems 1. How many grams are there in 1.5 x 1024 molecules of CO2? 2. What volume would the CO2 in problem 1 occupy? 3. A sample of NH3 gas occupies 75.0 liters at STP. How many molecules is this? 4. What is the mass of the sample of the NH3 in problem 3? 5. How many atoms are there in 1.3 x 1022 molecules in NO2? 6. A 5.0g sample of O2 is in a container at STP. What volume is the container? 7. How many molecules of O2 are in the container in problem 6? How many atoms of oxygen? 22 Name:_______________________________ Percent Composition Find the percent composition for the elements in each of the elements in the compounds below. 1. KMnO4 2. HCl 3. Mg(NO3)2 4. (NH4)3PO4 5. Al2(SO4)3 6. How many grams of oxygen can be produced from the decomposition of 100. g of KClO3? 7. How much iron can be recovered from 25.0 g of Fe2O3? 8. How much silver can be produced from 125g of Ag2S? 23 Name:________________________________ Determining Empirical Formula 1. 75% carbon, 25% hydrogen 2. 52.7% potassium, 47.3% chlorine 3. 22.1% aluminum, 25.4% phosphorus, 52.5% oxygen 4. 13% magnesium, 87% bromine 5. 32.4% sodium, 22.5% sulfur, 45.1% oxygen 6. 25.3% copper, 12.9% sulfur, 25.7% oxygen, 36.1% water 24 Name:_________________________________ Stoichiometry: Mole- Mole Problems 1. ____N2 + ____H2 ____NH3 How many moles of hydrogen are needed to completely react with two moles of nitrogen? 2. ____ KClO3 ____ KCl + ____ O2 How many moles of oxygen are produced by the decomposition of six moles of potassium chlorate? 3. ____ Zn + ____ HCl ____ ZnCl2 + ____ H2 How many moles of hydrogen are produced from the reaction of three moles of zinc with an excess of hydrochloric acid? 4. ____ C3H8 + ____ O2 ____ CO2 + ____ H2O How many moles of oxygen are necessary to react completely with four moles of propane? 5. ____ K3PO4 + ____ Al(NO3)3 ____ KNO3 + ____ AlPO4 How many moles of potassium nitrate are produced when two moles of potassium phosphate react with two moles of aluminum nitrate? 25 Name:_________________________ Volume-Volume Stoichiometry 1. ____N2 + ____ H2 ____ NH3 What volume of hydrogen is necessary to react with five liters of nitrogen to produce ammonia? (Assume constant temperature and pressure). 2. What volume of ammonia is produced in the reaction in Problem 1? 3. ____ C3H8 + ____ O2 ____ CO2 + ____ H2O If 20 liters of oxygen are consumed in the above reaction, how many liters of carbon dioxide are produced? 4. ____ H2O ____H2 + ____O2 If 30mL of hydrogen are produced in the above reaction, how many milliliters of oxygen are produced? 5. ____ CO + ____O2 ____ CO2 How many liters of carbon dioxide are produced if 75 liters of carbon monoxide are burned in oxygen? How many liters of oxygen are necessary? 26 Name:_________________________ Mass-Mass Stoichiometry 1. ____ KClO3 ____ KCl + ____O2 How many grams of potassium chloride are produced if 25 g of potassium chlorate decompose? 2. ____ N2 + ____H2 ____ NH3 How many grams of hydrogen are necessary to react completely with 50.0g of nitrogen in the above reaction? 3. How many grams of ammonia are produced in the reaction in Problem 2? 4. ____ AgNO3 + ____ BaCl2 ____ AgCl + ____ Ba(NO3)2 How many grams of silver chloride are produced from 5.0 g of silver nitrate reacting with an excess of barium chloride? 5. How much barium chloride is necessary to react with the silver nitrate in Problem 4? 27 Name:______________________________ Mixed Stoichiometry Problems 1. ____ N2 + ____H2 ____ NH3 What volume of NH3 at STP is produced if 25.0 g of N2 is reacted with excess of H2? 2. ____ KClO3 ____ KCl + ____O2 If 5.0g of KClO3 is decomposed, what volume of O2 is produced at STP? 3. How many grams of KCl are produced in Problem 2? 4. ____ Zn + ____ HCl ____ ZnCl2 + ____ H2 What volume of hydrogen at STP is produced when 2.5 g of zinc react with an excess of hydrochloric acid? 5. ____ H2SO4 + ____ NaOH ____ H2O + ____ Na2SO4 How many molecules of water are produced if 2.0 g of sodium sulfate are produced in the above reaction? 6. ____ AlCl3 ____ Al + ____ Cl2 If 10.0 g of aluminum chloride are decomposed, how many molecules of Cl2 are produced? 28 Name: __________________________ Assignment: Limiting reagent given the masses of reactants 1. For the reaction: Zn + HCl H2 + Zn2Cl Determine the limiting reagent in the following situations: a. 1.0g Zn combines with 0.75g of HCl b. 5.0g Zn combines with 4.5g HCl 2. For the reaction: FeCl3 + AgNO3 AgCl + Fe(NO3)3 Determine the limiting reagent in the following situations: a. 1.0 g of FeCl3 and 1.0g AgNO3 b. 5.0 g of FeCl3 and 4.0g AgNO3 3. For the reaction: KOH + H3PO4 K3PO4 + H2O Determine the limiting reagent in the following situations: a. 1.5 g of H3PO4 and 5.0g KOH b. 0.87 g of H3PO4 and 1.3g KOH 29 Name:________________________ Limiting Reagent Assignment 1. ____ N2 + ____H2 ____ NH3 How many grams of NH3 can be produced from the reaction of 28g of N2 and 25g of H2? 2. How much of the excess reagent in Problem 1 is left over? 3. _____ Mg + _____HCl _____ MgCl2 + _____H2 What volume of hydrogen at STP is produced from the reaction of 50.0 g of Mg and the equivalent of 75 g HCl? 4. How much of the excess reagent in Problem 3 is left over? 5. _____ AgNO3 + _____ Na3PO4 _____ Ag3PO4 + _____ NaNO3 Silver nitrate and sodium phosphate are reacted in equal amounts of 200. G each. How many grams of silver phosphate are produced? 6. How much of the excess reagent in Problem 5 is left? 30