Chapter 11 Molecular Composition of Gases Section 11.7 volume – mass relationships of gases Comparing volumes of reacting gases: • Recall the balanced equation for the synthesis of water: 2H2 (g) + O2 (g) → 2 H2O (g) • We have interpreted the coefficients in this equation in terms of molecules of reactants & products and moles of reactants & products. Gay-Lussac’s Law of Combining Volumes of Gases: • Gay-Lussac made the discovery that, when the reactants & products are gases, these coefficients can also be interpreted in terms of volumes of reactants & products. 2H2 (g) + O2 (g) → 2 H2O (g) • • • • 2 molecules 2 moles 2 liters 2 volumes 1 molecule 1 mole 1 liter 1 volume 2 molecules 2 moles 2 liters 2 volumes Avogadro’s Law (1811) • Equal volumes of gases at the same temperature and pressure contain equal numbers of particles (atoms or molecules). Molar Volume of Gases • At standard temperature (0°C, 273K) and pressure (1atm) the volume of 1 mole of gas is 22.4 L. • 1 mole of gas at STP contains 6.02 x 1023 particles (atoms or molecules) and has a mass = molar mass (grams) Add a road to the mole map!!!! More conversion factor problems!!!! Mole Map known particles unknown particles 6.02 x 1023 6.02 x 1023 Balanced Equation Blvd. moles-----------------------------moles Mole ratio molar mass grams 22.4L at STP If not, use PV=nRT liters volume ratio 22.4L at STP If not use PV=nRT molar mass liters grams Sample Problem 1 • A chemical reaction produces 0.0680 mol of oxygen gas. What volume in liters is occupied by this gas at STP? Sample Problem 1 • A chemical reaction produces 0.0680 mol of oxygen gas. What volume in liters is occupied by this gas at STP? • Solution: 0.0680mol x Sample Problem 1 • A chemical reaction produces 0.0680 mol of oxygen gas. What volume in liters is occupied by this gas at STP? • Solution: 0.0680mol x 22.4L = 1 mol Sample Problem 1 • A chemical reaction produces 0.0680 mol of oxygen gas. What volume in liters is occupied by this gas at STP? • Solution: 0.0680mol x 22.4L = 1.52 liters 1 mol Sample problem 2 • A chemical reaction produced 98.0 mL of sulfur dioxide gas, SO2 at STP. What was the mass (in grams) of the gas produced? Sample problem 2 • A chemical reaction produced 98.0 mL of sulfur dioxide gas, SO2 at STP. What was the mass (in grams) of the gas produced? • Solution: 98.0 mL x 1 L 1000mL Sample problem 2 • A chemical reaction produced 98.0 mL of sulfur dioxide gas, SO2 at STP. What was the mass (in grams) of the gas produced? • Solution: 98.0 mL x 1 L 1 mol x 1000mL 22.4 L Sample problem 2 • A chemical reaction produced 98.0 mL of sulfur dioxide gas, SO2 at STP. What was the mass (in grams) of the gas produced? • Solution: 98.0 mL x 1 L 1 mol x 64.07 g = x 1000mL 22.4 L 1 mol Sample problem 2 • A chemical reaction produced 98.0 mL of sulfur dioxide gas, SO2 at STP. What was the mass (in grams) of the gas produced? • Solution: 98.0 mL x 1 L 1 mol x 64.07 g = x 1000mL 22.4 L 1 mol = 0.280g SO2 Homework • Complete the “Gases and the Mole” worksheet
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