11.1 All of the following are postulates of the kinetic molecular theory of gases EXCEPT: 1. The volume occupied by a gas is mostly empty space. 2. The average kinetic energy of the gas particles is proportional to the temperature in Celsius. 3. The attraction/repulsion between gas molecules is very weak or negligible. 4. Gas molecules or atoms move in a straight line between collisions. 5. All of the above are correct postulates. Tro IC3 11.1 All of the following are postulates of the kinetic molecular theory of gases EXCEPT: 1. The volume occupied by a gas is mostly empty space. 2. The average kinetic energy of the gas particles is proportional to the temperature in Celsius. 3. The attraction/repulsion between gas molecules is very weak or negligible. 4. Gas molecules or atoms move in a straight line between collisions. 5. All of the above are correct postulates. Tro IC3 11.2 Convert 580 mm Hg to atm: 1. 2. 3. 4. 5. Tro IC3 0.763 atm 1.00 atm 5.80 atm 580 atm 4.41 x 105 atm 11.2 Convert 580 mm Hg to atm: 1. 2. 3. 4. 5. Tro IC3 0.763 atm 1.00 atm 5.80 atm 580 atm 4.41 x 105 atm 11.3 Convert 35.5 psi to kPa. (Note: 1 atm = 14.7 psi and 1 atm = 101325 Pa.) 1. 2. 3. 4. 5. Tro IC3 2.41 kPa 2.45 x 102 kPa 5.29 x 102 kPa 2.45 x 105 kPa 5.29 x 105 kPa 11.3 Convert 35.5 psi to kPa. (Note: 1 atm = 14.7 psi and 1 atm = 101325 Pa.) 1. 2. 3. 4. 5. Tro IC3 2.41 kPa 2.45 x 102 kPa 5.29 x 102 kPa 2.45 x 105 kPa 5.29 x 105 kPa 11.4 A gas has a volume of 1.0 L at 1 atm. By what factor must the pressure change in order to halve the volume of the gas? (Assume the temperature is constant.) 1. 2. 3. 4. 5. Tro IC3 x1 x2 x4 x 1/2 x 1/4 11.4 A gas has a volume of 1.0 L at 1 atm. By what factor must the pressure change in order to halve the volume of the gas? (Assume the temperature is constant.) 1. 2. 3. 4. 5. Tro IC3 x1 x2 x4 x 1/2 x 1/4 11.5 A bottle with 500 mL of a liquid is sealed on top of Mt. Everest (P = 230 torr). What is the volume of the liquid when the bottle is moved to sea level? (Assume the temperature is kept constant.) 1. 2. 3. 4. 5. Tro IC3 651 mL 1.65 x 103 mL 0.151 mL 151 mL 500. mL 11.5 A bottle with 500 mL of a liquid is sealed on top of Mt. Everest (P = 230 torr). What is the volume of the liquid when the bottle is moved to sea level? (Assume the temperature is kept constant.) 1. 2. 3. 4. 5. Tro IC3 651 mL 1.65 x 103 mL 0.151 mL 151 mL 500 mL 11.6 What is absolute zero? 1. 2. 3. 4. 5. Tro IC3 -273°F The freezing point of hydrogen The x-intercept of a straight-line graph of V versus 1/P The x-intercept of a straight-line graph of V versus T The temperature of deep outer space 11.6 What is absolute zero? 1. 2. 3. 4. 5. Tro IC3 -273°F The freezing point of hydrogen The x-intercept of a straight-line graph of V versus 1/P The x-intercept of a straight-line graph of V versus T The temperature of deep outer space 11.7 A flexible container contains 1.50 L of gas at 25 °C. What is the new volume when the container is heated to 100 °C? (Assume the pressure is constant.) 1. 2. 3. 4. 5. Tro IC3 0.375 L 0.959 L 1.20 L 0.833 L 1.88 L 11.7 A flexible container contains 1.50 L of gas at 25 °C. What is the new volume when the container is heated to 100 °C? (Assume the pressure is constant.) 1. 2. 3. 4. 5. Tro IC3 0.375 L 0.959 L 1.20 L 0.833 L 1.88 L 11.8 A bottle with 500 mL of a liquid is sealed on top of Mt. Everest (230 torr) at a temperature of -20 °C. What is the approximate volume of the liquid when the bottle is moved to sea level at a temperature of 30.0 °C? 1. 2. 3. 4. 5. Tro IC3 100 mL 126 mL 180 mL 500 mL 680 mL 11.8 A bottle with 500 mL of a liquid is sealed on top of Mt. Everest (230 torr) at a temperature of -20 °C. What is the approximate volume of the liquid when the bottle is moved to sea level at a temperature of 30.0 °C? 1. 2. 3. 4. 5. Tro IC3 100 mL 126 mL 180 mL 500 mL 680 mL 11.9 What law is derived from the combined gas law under constant temperature and moles? 1. 2. 3. 4. 5. Tro IC3 Avogadro’s Charles’s Dalton’s Gay-Lussac’s Boyle’s 11.9 What law is derived from the combined gas law under constant temperature and moles? 1. 2. 3. 4. 5. Tro IC3 Avogadro’s Charles’s Dalton’s Gay-Lussac’s Boyle’s 11.10 A container with 1.00 mol of gas is expanded from 5.00 L to 10.0 L by adding more gas. The temperature and pressure are kept constant. How many moles of gas are present after the expansion? 1. 2. 3. 4. 5. Tro IC3 1.00 mol 2.00 mol 3.00 mol 5.00 mol 10.0 mol 11.10 A container with 1.00 mol of gas is expanded from 5.00 L to 10.0 L by adding more gas. The temperature and pressure are kept constant. How many moles of gas are present after the expansion? 1. 2. 3. 4. 5. Tro IC3 1.00 mol 2.00 mol 3.00 mol 5.00 mol 10.0 mol 11.11 A set of car tires contain a volume of 45.5 L of air at 35.0 psi and 0 °C. When the car is driven, the temperature of the tires increases to 40 °C. What is the pressure (in psi) of each tire assuming constant volume? 1. 2. 3. 4. 5. Tro IC3 37.8 psi 35.0 psi 0 psi 40.1 psi 29.9 psi 11.11 A set of car tires contain a volume of 45.5 L of air at 35.0 psi and 0 °C. When the car is driven, the temperature of the tires increases to 40 °C. What is the pressure (in psi) of each tire assuming constant volume? 1. 2. 3. 4. 5. Tro IC3 37.8 psi 35.0 psi 0 psi 40.1 psi 29.9 psi 11.12 How many moles of an ideal gas are in a container with a volume of 5.50 L at 580 mm Hg and 20 °C? Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 1.32 mol 0.229 mol 0.174 mol 2.58 mol 5.73 mol 11.12 How many moles of an ideal gas are in a container with a volume of 5.50 L at 580 mm Hg and 20 °C? Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 1.32 mol 0.229 mol 0.174 mol 2.58 mol 5.73 mol 11.13 What is the volume occupied by 28.0 g of nitrogen gas at 1.00 atm and 0 °C? Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 0.0295 L 1.00 L 22.4 L 48.8 L 0.0446 L 11.13 What is the volume occupied by 28.0 g of nitrogen gas at 1.00 atm and 0 °C? Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 0.0295 L 1.00 L 22.4 L 48.8 L 0.0446 L 11.14 A 4.17-g sample of particular ideal diatomic gas at 38 °C has a volume of 1.50 L at 1.00 atm. Identify the gas? Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 H2 N2 F2 O2 Cl2 11.14 A 4.17-g sample of particular ideal diatomic gas at 38 °C has a volume of 1.50 L at 1.00 atm. Identify the gas? Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 H2 N2 F2 O2 Cl2 11.15 A real gas can approach ideal behavior: 1. 2. 3. 4. 5. Tro IC3 When both the pressure and temperature are high When the pressure is high and the temperature is low When both the pressure and temperature are low When the pressure is low and the temperature is high Real gases have ideal behavior no matter what the conditions are. 11.15 A real gas can approach ideal behavior: 1. 2. 3. 4. 5. Tro IC3 When both the pressure and temperature are high When the pressure is high and the temperature is low When both the pressure and temperature are low When the pressure is low and the temperature is high Real gases have ideal behavior no matter what the conditions are. 11.16 Calculate the molar mass of a gas that has a density of 1.70 g/L at STP. 1. 2. 3. 4. 5. Tro IC3 2.02 g/mol 4.00 g/mol 28.0 g/mol 32.0 g/mol 38.1 g/mol 11.16 Calculate the molar mass of a gas that has a density of 1.70 g/L at STP. 1. 2. 3. 4. 5. Tro IC3 2.02 g/mol 4.00 g/mol 28.0 g/mol 32.0 g/mol 38.1 g/mol 11.17 1. 2. 3. 4. 5. Tro IC3 The partial pressures in a mixture of CO2, N2, and O2 in a sample of gas are 50.0 atm, 495 atm, and 205 atm, respectively. Calculate the mole percentage of each gas. 5.00%, 70.3%, 24.7% 6.67%, 66.0%, 27.3% 0.500%, 49.5%, 50.0% 10.0%, 50.0%, 40.0% 1.50%, 75.5%, 23.0% 11.17 1. 2. 3. 4. 5. Tro IC3 The partial pressures in a mixture of CO2, N2, and O2 in a sample of gas are 50.0 atm, 495 atm, and 205 atm, respectively. Calculate the mole percentage of each gas. 5.00%, 70.3%, 24.7% 6.67%, 66.0%, 27.3% 0.500%, 49.5%, 50.0% 10.0%, 50.0%, 40.0% 1.50%, 75.5%, 23.0% 11.18 A sample of hydrogen gas is collected over water at a pressure of 635 mm Hg at 10.0 °C. Calculate partial pressure of the hydrogen. The vapor pressure over water at 10.0 °C is 9.2 mm Hg. 1. 9 mm Hg 2. 69 mm Hg 3. 626 mm Hg 4. 635 mm Hg 5. 644 mm Hg Tro IC3 11.18 A sample of hydrogen gas is collected over water at a pressure of 635 mm Hg at 10.0 °C. Calculate partial pressure of the hydrogen. The vapor pressure over water at 10.0 °C is 9.2 mm Hg. 1. 9 mm Hg 2. 69 mm Hg 3. 626 mm Hg 4. 635 mm Hg 5. 644 mm Hg Tro IC3 11.19 How many liters of dry oxygen gas are produced by the complete electrolysis of 225 mL of water? The oxygen gas is collected at 580 torr and 27 °C. The density of water at 27 °C is 1.00 g/mL. Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 0.225 L 36.3 L 201 L 403 L 0.0239 L 11.19 How many liters of dry oxygen gas are produced by the complete electrolysis of 225 mL of water? The oxygen gas is collected at 580 torr and 27 °C. The density of water at 27 °C is 1.00 g/mL. Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 0.225 L 36.3 L 201 L 403 L 0.0239 L 11.20 How many grams of water are produced from the complete combustion of 15.8 L of propane (C3H8) gas at STP? 1. 2. 3. 4. 5. Tro IC3 0.705 g 2.82 g 12.7 g 38.1 g 50.8 g 11.20 How many grams of water are produced from the complete combustion of 15.8 L of propane (C3H8) gas at STP? 1. 2. 3. 4. 5. Tro IC3 0.705 g 2.82 g 12.7 g 38.1 g 50.8 g 11.21 Which of the following samples occupy the largest volume at STP? Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 1.00 mol O2 48.0 g O2 0.500 mol He 4.008 g H2 6.02 x 1023 molecules of N2 11.21 Which of the following samples occupy the largest volume at STP? Note: R = 0.0821 L·atm/(mol·K). 1. 2. 3. 4. 5. Tro IC3 1.00 mol O2 48.0 g O2 0.500 mol He 4.008 g H2 6.02 x 1023 molecules of N2 11.22 For an ideal gas, which two variables are INVERSELY proportional to each other, assuming all the other conditions remain constant? 1. 2. 3. 4. 5. Tro IC3 V and P T and P V and T V and n None of the above 11.22 For an ideal gas, which two variables are INVERSELY proportional to each other, assuming all the other conditions remain constant? 1. 2. 3. 4. 5. Tro IC3 V and P T and P V and T V and n None of the above 11.23 When the Celsius temperature of a gas sample is doubled from 75 °C to 150 °C, the volume of the gas: (Assume the pressure is constant.) 1. 2. 3. 4. 5. Tro IC3 Increases by a factor of 75 Halves Doubles Remains the same None of the above 11.23 When the Celsius temperature of a gas sample is doubled from 75 °C to 150 °C, the volume of the gas: (Assume the pressure is constant.) 1. 2. 3. 4. 5. Tro IC3 Increases by a factor of 75 Halves Doubles Remains the same None of the above 11.24 Which of the following gas laws relate volume and temperature? 1. 2. 3. 4. 5. Tro IC3 Avogadro’s law Boyle’s law Charles’s law Gay-Lussac’s law Dalton’s Law 11.24 Which of the following gas laws relate volume and temperature? 1. 2. 3. 4. 5. Tro IC3 Avogadro’s law Boyle’s law Charles’s law Gay-Lussac’s law Dalton’s Law 11.25 What is the SI unit for pressure? 1. 2. 3. 4. 5. Tro IC3 Pa atm mm Hg torr psi 11.25 What is the SI unit for pressure? 1. 2. 3. 4. 5. Tro IC3 Pa atm mm Hg torr psi