Created by Laura Peck, 2011 Modern Chemistry STOICHIOMETRIC REVIEW Example/Reminder Ex.1) Given the chemical equation: Na2CO3(aq) + Ca(OH)2(s) 2NaOH(aq) + CaCO3(s) If we start with 2g Na2CO3 – how many grams NaOH are produced? Grams start 2g Na2CO3 1 mol Molar mass (start) 1 mol 105.967 g Na2CO3 (ratio) Mol final Mol start 2 mol 1 m0l Grams final (molar mass) 39.987 g NaOH 1 mol 2 x 1 x 2 x 39.987 / (105.965 x 1 x 1) = 1.509 g NaOH Practice problems 1) Hydrogen and oxygen react under a specific set of conditions to produce water according to the following: 2H2(g) + O2(g) 2H2O(g) A) How many grams of hydrogen would be required to produce 5.0 g of water? 5.0 g H2O 1 mol H2O 2 mol 2.014 g H2 = 0.559 g H2 18.01 g H2O 2 mol B) How many grams of oxygen would be required to produce 5.0 g of water? 5.0 g H2O 1 mol H2O 1 mol O2 31.98 g O2 18.01 g H2O 2 mol H2O 1 mol O2 = 4.44 g O2 2) If 4.5 g of ethane, C2H6, undergo combustion according to: 2C2H6 + 5O2 4CO2 + 6H2O A) how many grams of oxygen are required? 4.5 g C2H6 1 mol C2H6 5 mol O2 31.98 g O2 30.062 g C2H6 2 mol C2H6 1 mol O2 = 11.967 g O2 B) how many grams of carbon dioxide are produced? 4.5 g C2H6 x 1 mol C2H6 x 4 mol CO2 x 43.99g CO2 30.062 g C2H6 x 2mol C2H6 x 1 mol CO2 = 13.17g CO2 C) how many grams of water are produced? 4.5g C2H6 x 1 mol C2H6 x 6 mol H2O x 18.01g H2O 30.062g C2H6 x 2mol C2H6 x 1 mol H2O = 8.08g H2O 3) Sodium chloride is produced from its element through a synthesis reaction. 2Na(s) + Cl2(g) 2NaCl(s) A) What mass of each reactant would be required to produce 3.4g of sodium chloride? 3.4g NaCl x 1 mol NaCl x 2 mol Na x 22.989g Na 58.439g NaCl x 2mol NaCl x 1 mol Na 3.4g NaCl x 1 mol NaCl x 1 mol Cl2 x 70.9g Cl2 58.439g NaCl x 2mol NaCl x 1 mol Cl2 = 1.34 g Na = 2.06g Cl B) What mass of each reactant would be required to produce 13.4g of sodium chloride? 13.4 g NaCl x 1 mol NaCl 58.43 g NaCl 13.4g NaCl x 1 mol NaCl 58.43 g NaCl x 2 mol Na x 22.98g Na x 2mol NaCl x 1 mol Na x 1 mol Cl2 x 70.9 Cl2 x 2 mol NaCl x 1 mol Cl2 = 5.27g Na = 8.1 g Cl2 4) Iron is generally produced from iron ore through the following reaction in a blast furnace: 2Fe2O3(s) + 6CO(g) 4Fe(s) + 6CO2(g) A) If 4.0 kg of Fe2O3 are available to react how many grams of CO are needed? 4000 g Fe2O3 x 1 mol Fe2O3 x 6 mol CO x 28.009 g CO 159.687 g Fe2O3 x 2mol Fe2O3 x 1 mol CO = 2104.8 g CO B) If 4.0 kg of Fe are produced, how many grams of Fe2O3 are needed? 4000 g Fe x 1 mol Fe x 2 mol Fe2O3 x 159.687 g Fe2O3 55.845 g Fe x 4 mol Fe x 1 mol Fe2O3 = 5718.93 g Fe2O3 5) Methanol, CH3OH, is an important industrial compound that is produced from the following reaction: CO(g) + 2H2(g) CH3OH(g) A) What mass of each reactant would be needed to produce 100.0 kg of methanol? 100000 g CH3OH x 1 mol CH3OH x 1 mol CO x 28.0 g CO 32.037 g CH3OH x 1 mol CH3OH x 1 mol CO 100000 g CH3OH x 1 mol CH3OH x 2 mol H2 x 2.014 g H2 32.037 g CH3OH x 1 mol CH3OH x 1mol H2 = 87,398.94 g CO = 12,572.96 g H2 B) How many mols of H2 were consumed to generate 100.0 kg of methanol? 12572.96 g H2 x 1 mol H2 2.014 g H2 = 6242.78 mol H2 5) Nitrogen combines with oxygen in the atmosphere during lightning flashes to form nitrogen monoxide, NO, which then reacts further with O2 to produce nitrogen dioxide, NO2 N2 + O2 2NO 2NO + O2 2NO2 A) What mass of NO2 is formed when NO reacts with 384 g of O2? 384 g O2 x 1 mol O2 x 2 mol NO2 x 46.065 g NO2 31.998 g O2 x 1 mol O2 x 1 mol NO2 = 1105.63 g NO2 B) how many grams of NO are required to react with 455g of O2? 455 g O2 x 1 mol O2 x 2 mol NO x 30.066 g NO 31.989 g O2 x 1 mol O2 x 1 mol NO = 855.29 g NO 6) As early as 1938, the use of NaOH was suggested as a means of removing CO2 from the cabin of a spacecraft according to the following reaction: 2NaOH + CO2 Na2CO3 + H2O A) If the average human body discharges 925.0 g of CO2 per day, how many grams of NaOH are needed each day for each person in the spacecraft? 925.0 g CO2 x 1 mol CO2 x 2 mol NaOH x 39.995 g NaOH 44.008 g CO2 x 1 mol CO2 x 1 mol NaOH = 1681.3 g NaOH B) How many mols of NaOH were needed for #A? 1681.3 g NaOH x 1 mol NaOH 39.995 g NaOH = 42.03 mol NaOH 7) The double-replacement reaction between silver nitrate and sodium bromide produces silver bromide, a component of photographic film. AgNO3 + NaBr AgBr + NaNO3 A) If 4.5 g of silver nitrate reacts, what mass of sodium bromide is required? 4.5 g AgNO3 x 1 mol AgNO3 x 1 mol NaBr x 102.88 g NaBr 169.932 g AgNO3 x 1mol AgNO3 x 1 mol NaBr = 2.72 g NaBr B) If 4.5 mol of silver nitrate reacts, how many mols of sodium bromide is required? 4.5 mol AgNO3 x 1 mol NaBr 1 mol AgNO3 or 1 mol NaBr = x 1mol AgNo3 4.5 = 4.5 mol NaBr 8) In a soda-acid fire extinguisher, concentrated sulfuric acid reacts with sodium hydrogen carbonate to produce carbon dioxide, sodium sulfate and water H2SO4 + 2NaHCO2 2CO2 + Na2SO4 + 2H2O A) How many grams of sodium hydrogen carbonate would be needed to react with 150.0 g of sulfuric acid? 150.0 g H2SO4 x 1 mol H2SO4 x 2 mol NaHCO2 x 68.004 g NaHCO2 98.07 g H2SO4 x 1 mol H2SO4 x 1 mol NaHCO2 = 208.02 g NaHCO2 B) how many moles of sodium sulfate would be produced from 150.0 g sulfuric acid? 150.0 g H2SO4 x 1 mol H2SO4 x 1 mol Na2SO4 98.07 g H2SO4 x 1 mol H2SO4 = 1.53 mol Na2SO4 Limiting reagent practice - find how many grams each reactant can produce - the one that produces the least is the limiting 9) Determine the limiting reagent when 2.o mols of hydrochloric acid react with 2.5 mols of sodium hydroxide in a neutralization reaction. HCl + NaOH NaCl + H2O 2.0 mol HCl x 1 mol NaCl x 58.439 g NaCl 1 mol HCl x 1 mol NaCl 2.5 mol NaOH x 1 mol NaCl x 58.439 g NaCl 1 mol NaOH x 1 mol NaCl = 116.878 g NaCl = 146.09 g NaCl 10) If 2.50 mol of copper and 5.50 mol of silver nitrate are available to react by single replacement, identify the limiting reagent. Cu + AgNO3 Ag + CuNO3 2.5 mol Cu x 1 mol Ag x 107.86 g Ag 1 mol Cu x 1 mol Ag 5.5 mol AgNO3 x 1 mol Ag x 107.86 g Ag 1 mol AgNO3 x 1 mol Ag = 269.65 g Ag = 593.23 g Ag 11) Sulfuric acid reacts with aluminum hydroxide by double replacement. H2SO4 + Al(OH)2 AlSO4 + 2H2O A) If 30.0 g of sulfuric acid react with 25.0 g of aluminum hydroxide, identify the limiting reagent. 30.0 g H2SO4 x 1 mol H2SO4 x 2 mol H2O x 18.01 g H2O 98.075 g H2SO4 x 1 mol H2SO4 x 1 mol H2O 25.0 g Al(OH)2 x 1 mol Al(OH)2 x 2 mol H2O x 18.01 g H2O 60.992 g Al(OH)2 x 1 mol Al(OH)2 x 1 mol H2O = 11.02 g H2O = 14.76 g H2O B) Determine the amount in moles of each product formed. 11.02 g H2O x 1 mol H2O 18.01 g H2O = 0.61 mols H2O 0.61 mols H2O x 1 mol AlSO4 2 mol H2O or 1 mol AlSO4 = x 2 mol H2O 0.61 = 0.305 mol AlSO4
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