Unit 10 Study Guide 11. You are holding two helium balloons, a large and a small balloon. How do the pressures of the helium compare? A) The pressure in the large balloon is greater than the pressure in the small balloon. This is best explained by the fact that there must be more moles of gas in the large balloon, thus greater pressure. B) The pressure in the small balloon is 4. Perform the following conversion of pressure greater than the pressure in the large balloon. units: This is best explained by the fact that as the 1.198 atm = ____________ torr volume of a container decreases, the pressure of A) 910.5 the gas increases. B) 634.4 C) The pressure in the large balloon is C) 1.576 10–3 greater than the pressure in the small balloon. D) 17.61 The fact that there is a greater pressure in the E) 1.198 balloon explains why the volume is larger; as the Ans: A particles push more on the inside, the volume increases. 6. Perform the following conversion of pressure D) The pressures are essentially the same and units: less than atmospheric pressure. 9 8.6 10 Pa = ____________ atm E) The pressures are essentially the same and 4 A) 1.1 10 equal to atmospheric pressure. B) 1.7 105 Ans: E 5 C) 5.9 10 D) 1.3 1011 13. A certain balloon will pop if it expands to a E) 8.5 104 volume greater than 16.0 L. The balloon is currently Ans: E filled with air at a volume of 8.0 L. You heat the balloon such that the temperature measured in degrees Celsius 8. Perform the following conversion of pressure doubles. Which of the following best describes what units: happens? 0.755 atm = ____________ torr A) The balloon will expand to a volume A) 1007 greater than 16.0 L and pop. B) 76.5 B) The balloon will expand to a volume less C) 11.10 than 16.0 L and not pop. D) 574 C) The balloon will expand to a volume of E) 599 16.0 L and pop. Ans: D D) The balloon will expand to a volume of 16.0 L and not pop. 10. Consider a gas at 1.00 atm in a 5.00-L container E) The volume of the balloon will remain the at 20.oC. What pressure does the gas exert when same but the pressure will increase. transferred to a volume of 3.53 L at 43 oC? Ans: B A) 3.05 atm B) 1.31 atm 15. When analyzing ideal gases, the temperature C) 0.371 atm must be measured on the Kelvin scale D) 1.53 atm A) because otherwise you could calculate a E) 0.761 atm negative volume. Ans: D B) so that you are using an absolute scale. C) to directly measure the average kinetic energy of the gas particles. D) Both a and b are correct. E) a, b, and c are correct. Ans: E 2. Convert 9.88 102 torr to psi. A) 1.30 psi B) 19.1 psi C) 1.45 104 psi D) 5.11 104 psi E) 1.43 102 psi Ans: B 18. You have a sample of argon gas at a certain pressure, volume, and temperature. You double the volume, double the number of moles of argon, and double the Kelvin temperature. How does the final pressure (Pf) compare to the original pressure (Po)? Pf = A) (1/8)Po B) (1/2)Po C) 2Po D) 4Po E) 8P2 Ans: C 20. What is the volume of a helium balloon that contains 3.13 mol helium at 27oC and 1.10 atm? A) 6.30 L B) 63.7 L C) 77.1 L D) 70.0 L E) 6.93 L Ans: D 21. A sample of a gas in a container fitted with a piston has a temperature above 0°C. The Celsius temperature is doubled. What is true about the ratio of final volume to initial volume for the gas? A) It is 1:1. B) It is 2:1. C) It is 1:2. D) It is greater than 2:1. E) It is less than 2:1. Ans: E 22. You have a partially filled party balloon with 2.00 g of helium gas. You then add 3.00 g of hydrogen gas to the balloon. Assuming constant temperature and pressure, how many times bigger is the party balloon – comparing before and after the hydrogen gas has been added. Choose the best formula to use to solve this problem. (V = volume of the gas, n = moles of the gas, m = mass of the gas, P = pressure of the gas.) A) B) C) D) E) V2 n2 V1 n1 V2 m2 V1 m1 P2 n2 P1 n1 V2 T2 V1 T1 PV 1 1 PV 2 2 Ans: A 25. A sample of helium gas occupies 11.6 L at 23oC and 0.956 atm. What volume will it occupy at 40. oC and 0.956 atm? A) 20.2 L B) 0.0815 L C) 11.0 L D) 12.3 L E) none of these Ans: D 28. If temperature and pressure are held constant, the volume and number of moles of a gas are A) independent of each other B) directly proportional C) inversely proportional D) equal E) not enough information given Ans: B 31. 2.37 mol of CO2 at STP will occupy A) 58.0 L B) 53.1 L C) 6.99 10–2 L D) 26.5 L E) 53.1 g Ans: B 34. You are holding two balloons of the same volume. One balloon contains 1.60 g helium. The other balloon contains neon. What is the mass of neon in the balloon? A) 0.400 g B) 1.60 g C) 50.5 g D) 8.07 g E) 20.0 g Ans: D 35. You fill a balloon with 10.0 g of N2 gas. You wish to add 10.0 g of another gas to make the balloon more than twice as large as it is with only the N2 (that is, more than twice the original volume). Which gas should you add (assume constant temperature)? A) O2 B) CO2 C) CO D) He E) You cannot make the balloon more than twice as large with 10.0 g of any gas. Ans: D 37. Suppose a balloon has a maximum volume of 7.00 L. Also suppose each time you blow into a balloon, you expel 0.045 mol of air. How many times can you blow into the balloon before the balloon pops? Assume atmospheric conditions of 1.0 atm and 22°C and that your breath is at room temperature. Ans: We can blow into the balloon 6 times. It will pop during the seventh time. 47. A gas occupies 20.1 L at 2.00 atm pressure and 27oC. Calculate its volume if the pressure remains at 2.0 atm but the temperature is raised to 54oC. A) 18.4 L B) 40.2 L C) 0.0456 L D) 21.9 L E) 14.7 L Ans: D 39. You are holding four balloons each containing 10.0 g of a different gas. The balloon containing which gas is the largest? A) H2 B) He C) Ne D) O2 E) All have the same volume. Ans: A 49. A gas occupies 25.3 L at 2.00 atm pressure and 27oC. How many moles of gas are present in the sample? A) 22.8 mol B) 1.03 mol C) 2.06 mol D) 3.56 mol E) 4.46 mol Ans: C 51. 41. A specified quantity of an unknown gas has the volume of 19.8 mL at 22oC and 659 torr. Calculate the volume at STP. A) 1.28 mL B) 18.6 mL C) 15.9 mL D) 21.1 mL E) none of these Ans: C 43. A 251-mL sample of a gas at STP is heated to 45oC. The final pressure is 1.47 atm. Calculate the volume of this gas under the new conditions. A) 28.1 mL B) 147 mL C) 6822 mL D) 199 mL E) 133 mL Ans: D 45. A 11.1-L sample of gas at STP is heated to 55oC at 605 torr. What is the new volume? A) 16.8 L B) 2.81 L C) 11.6 L D) 10.6 L E) 11.2 L Ans: A 46. A gas occupies 20.3 L at 2.00 atm pressure and 27oC. Calculate its volume if the pressure is decreased to 1.00 atm at constant temperature. A) 10.2 L B) 40.6 L C) 60.9 L D) 13.6 L E) 81.2 L Ans: B What volume will 46.8 g of N2 occupy at STP? A) 40.9 L B) 4.93 10–2 L C) 37.4 L D) 3.43 L E) none of these Ans: C 53. The volume of a sample of gas is 637.6 mL at STP. What volume will the sample occupy at 0.0oC and 950.0 torr? A) 797.0 mL B) 510.1 mL C) 467.3 mL D) 622.1 mL E) none of these Ans: B 55. What volume is occupied by 36.3 g of methane, CH4, at 27oC and 1.59 atm? A) 55.7 L B) 35.0 L C) 3.15 L D) 50.6 L E) not enough data to calculate Ans: B 58. Zinc metal is added to hydrochloric acid to generate hydrogen gas and is collected over a liquid whose vapor pressure is the same as that of pure water at 20.0oC (18 torr). The volume of the mixture is 1.7 L, and its total pressure is 0.973 atm. Determine the number of moles of hydrogen gas present in the sample. A) 0.98 mol B) 0.138 mol C) 0.27 mol D) 0.067 mol E) 0.039 mol Ans: D 60. A gas is collected over water at a certain temperature. The total pressure is 756 torr. The vapor pressure of water at this temperature is 17 torr. The partial pressure of the gas collected is A) 756 torr B) 17 torr C) 773 torr D) 739 torr E) 731 torr Ans: D 79. The largest a party balloon can get before bursting is 9.16 L at 25oC and 1.00 atm. Supposing you fill the balloon only with oxygen gas, how many grams of oxygen can be added to the balloon before it pops? Assume you have not yet added any gas to the balloon at all (so essentially the balloon is flat). A) 12.0 g O2 B) 0.375 g O2 C) 4.47 g O2 D) 143 g O2 E) 2.67 g O2 Ans: A 80. A sample of oxygen gas (O2) has a volume of 7.89 L at a temperature of 19oC and a pressure of 1.38 atm. Calculate the moles of O2 molecules present in this gas sample. A) 6.98 mol B) 0.454 mol C) 0.909 mol D) 0.227 mol E) none of these Ans: B 81. A flexible weather balloon contains helium gas at a volume of 855 L. Initially, the balloon is at sea level, where the temperature is 25oC and the barometric pressure is 0.947 atm. The balloon then rises to an altitude of 5500 ft, where the pressure is 0.756 atm and the temperature is 15oC. What is the change in the volume of the balloon as it ascends from sea level to 5500 ft? A) 180. L B) 1035. L C) 216. L D) 639. L E) 216. L Ans: A 83. A hydrogen balloon is at 25oC, 1.00 atm and has a volume of 1.00 L. How many grams of argon gas must be added to the hydrogen balloon to achieve a volume of 3.71 L at constant temperature and pressure? A) 6.06 g B) 7.69 g C) 90.7 g D) 4.43 g E) none of these Ans: D