Chapter 14 Review. Vocabulary 13. How does a gas exert a pressure if there is lots of empty space between its molecules? Match each word to the sentence where it best fits. Section 14.1 kinetic molecular theory 14. Why is it better to lie down on ice that is cracking beneath your feet than to remain in a standing position? 15. What causes atmospheric pressure? Brownian motion barometer 16. Why does atmospheric pressure on top of a mountain less than at the base of that same mountain? Bernoulli principle 1. If you view tiny particles in a liquid or gas using a microscope you can see ________. 2. Using a ________ you can measure atmospheric pressure. 3. Whenever you fly in an airplane you rely on the ________. 4. ________ describes our basic understanding of substances at the molecular level. Section 14.2 molar volume ideal gas 5. At standard temperature and pressure you will find 6.02 x 1023 molecules in a ________. 6. The gas laws are only 100% accurate for an ________. Conceptual Questions Section 14.1 7. Compare a gas, liquid, and solid on a molecular level. 8. What are some common properties of gases? 9. What is kinetic molecular theory. 10. Describe how kinetic molecular theory explains why gases have the properties you mentioned in question 8. 11. How was Brownian motion discovered and what was it caused by? 12. What is the difference between force and pressure? 468 Section 14.2 17. Many aerosol cans have warning labels on the side that say to keep away from heat and fire. Why? 18. One of the first thermometers was made from sealing a gas in a container that would allow the gas to expand or contract. Explain how this could be used as a thermometer. 19. Why does it makes sense that if you squeeze the air in a sealed syringe, that the pressure will go up? Explain on a molecular level? 20. When you drive a car the tires heat up because of friction with the road and internal friction between the molecules of the rubber. What will happen to the gas pressure in the tire as the tire heats up? Explain on a molecular level. 21. When pumping up a bicycle tire with a hand pump it gets harder and harder as you continue pumping. Explain the connection of this phenomenon with Avogadro’s Law. 22. Explain why weather balloons, sealed latex balloons filled with helium, eventually pop when they reach extremely high altitudes. 23. Explain why it makes sense to use a temperature scale that starts at zero like the Kelvin temperature scale? 24. What is the relationship between temperature and kinetic energy? 25. Gay-Lussac gave us another law which states that pressure and temperature are directly proportional to each other if volume and moles are constant. Using this law what do you predict will happen to the temperature of a gas with an increase in its pressure? Explain. 26. Plants breathe through the stomata on their leaves, small pores that can be opened or closed as A NATURAL APPROACH TO CHEMISTRY needed. Plants grown in an environment with a high partial pressure of CO2 have fewer stomata. Why does this make sense? 27. Describe everything you can about the molecules of two different gases that are at the same temperature. 28. How can the molar volume of ALL gases be the same 22.4 L volume at standard temperature and pressure? Why doesn’t the size of the molecule have any affect? 29. What is meant by an ideal gas? 30. Ideal gases have molecules that take up no space. However, real molecules do take up some space. How does fact affect the volume predicted by Boyle’s Law and Charles’ Law? Will it be larger or smaller than predicted for an ideal gas? Explain. 31. Ideal gases have molecule that don’t interact with each other. However, real molecules feel the weak intermolecular attractions felt by all molecules. How does fact affect the volume predicted by Boyle’s Law and Charles’ Law? Will it be larger or smaller than predicted for an ideal gas? Explain. Section 14.3 32. If you run an electric current through water it goes through a dissociation reaction, breaking back down into hydrogen and oxygen gas via this reaction: 2 H2O(l) → 2 H2(g) + O2(g) If you measure the masses of the hydrogen and oxygen produced you will find a mass ratio of 2 H2 :16 O2. If you measure the volume of the hydrogen and oxygen you will get a volume ratio of 2 H2 :1 O2, the same as the molar ratio in the balanced chemical equation. Why does the volume ratio match the molar ratio, but not the mass ratio? Quantitative Problems Section 14.1 33. What is the pressure exerted by an elephant weighing 8,000 lbs if the total area of the bottom of its four feet equals 312 in2 ? A NATURAL APPROACH TO CHEMISTRY 34. What is the weight of a car that has its tires lbsinflated to 35 -----and is touching the ground over 2 in an area equal to 285 in2? 35. Perform the following conversions: a. 3.50 psi to Pa b. 200435 Pa to atm c. 5.67 atm to mmHg d. 0.89 atm to inHg (inches of mercury). You will need the following equalities to help: 1 in = 2.54 cm and 10 mm = 1 cm. Section 14.2 36. Draw a graph of two variables that are directly proportional to each other. 37. Draw a graph of two variables that are inversely proportional to each other. 38. You decide to climb to the tops of some of the tallest mountains. Before you are about to leave on your epic journey, a friend gives you a balloon with a volume of 800.0 cm3 that was inflated under standard atmospheric pressure. You climbed two different mountains with this balloon: Mt. Everest 29,028 ft above sea level which has an average atmospheric pressure of 221 mmHg, and Mt. McKinley 20,320 ft above sea level which has an average atmospheric pressure of 345 mmHg. What was the size of the balloon on each mountain top? 39. A 50.0 mL soap bubble is blown at standard pressure. When a thunder storm passes later in the day, the pressure becomes 700.0 mmHg. Will the bubble get bigger or smaller? What is its new volume? 40. A balloon was inflated to a volume of 5.0 liters at a pressure of 0.90 atm. It rises to an altitude where its volume becomes 25.0 liters. Will the pressure around the balloon increase or decrease? What was the new pressure? 41. A SCUBA diver inflates a balloon to 10.0 liters at the surface and takes it on a dive. At a depth of 100.0 feet the pressure is 4.0 ‘atm. Will the volume of the balloon increase or decrease? What was the new volume of the balloon? 469 Chapter 14 Review. 42. The living quarters of the space shuttle has a volume of 20,000 liters (2.00 x 104 L) and is kept lbsat 12.0 -----. If all the air were lost, it would have to 2 in be replaced from a compressed air cylinder which has a volume of 50.0 liters. What is the pressure in that tank? (In other words: How much pressure would it take to compress all the air in the shuttle into a 50.0 liter space?) 43. Back to the space shuttle. the living quarters have a volume of 20,000 liters (2.00 x 104 L) at 500.0 mmHg. The shuttle docks with a space-lab which has a volume of 230,000 liters (2.30 x 105 L) and no air in it. What does the air pressure in both become when the hatch is opened between the two? 44. A fountain pen which has a total volume of 2.4 cm3 is half full with ink at the surface where the pressure is 780.0 mmHg. It is put in a pilot's pocket who flies to an altitude where the pressure is 520.0 mmHg. How much ink leaks out of the pen? 45. A 50.0 mL soap bubble is blown in a 27.0 °C room. It drifts out an open window and lands in a snow bank at -3.0 °C. What is its new volume? 46. A balloon was inflated to a volume of 5.0 liters at a temperature of 7.0 °C. It landed in an oven and was heated to 147 °C. What is its new volume? 47. During the day at 27 °C a cylinder with a sliding top contains 20.0 liters of air. At night it only holds 19 liters. What is the temperature at night? Give the answer in Kelvin and °C? 48. A 113 L sample of Helium at 27 °C is cooled to 78 °C. Calculate the new volume of the Helium. 49. On all aerosol cans you see a warning that tells you to keep the can away from heat because of the danger of explosion. What is the potential volume of the gas contained in a 500.0 mL can at 25 °C if it were heated to 54 °C. In other words if the can could expand to allow the gas to take up a greater volume, what would be the new volume of the gas when heated as previously described? 50. A 0.20 ml CO2 bubble in a cake batter is at 27 °C. In the oven it gets heated to 177 °C. a. What is its new volume? 470 b. If the cake had 5,000 bubbles, by how many mL would the cake rise when it was cooked? c. What common baking ingredient was used to create the original CO2 bubble? 51. A 500.0 mL glass filled with air is placed into water up-side-down while at 7.0 °C. The water is heated to 77 °C. How much air bubbles out from under the glass? 52. At one point in history people could measure temperature by looking at the volume of a sample of gas. Suppose a sample in a gas thermometer has a volume of 135 mL at 11.0 °C. Indicate what temperature would correspond to each of the following volumes: 113 mL, 142 mL, 155 mL, and 127 mL. 53. A balloon is filled with helium to a volume of 4.0 liters when the pressure is 1.0 atm and the temperature is 27.0 °C. It escapes and rises until the pressure is 0.25 atm. and the temperature is 23.0 °C. What is the new volume? 54. When a bubble escapes form a sunken ship, it has a volume of 12.0 cm3 at a pressure of 400.0 atm and a temperature of -3.00 °C. It reaches the surface where the pressure is 1.10 atm and the temperature is 27.0 °C. What is its new volume? 55. A CO2 bubble in some bread dough had an original volume of 0.30 mL when it formed at 27.0 °C and 750 mmHg of pressure. While baking, its temperature rose to 177.0 °C and a thunderstorm moved in, dropping the pressure to 725 mmHg. What is the new volume of the bubble? 56. If a hot air balloon holds 3000 liters (3.00 x 103 L) of air at 17.0 °C and standard pressure, how much air will escape as the balloon is heated to 67.0 °C lbsand rises to where the pressure is 13.5 -----? 2 in 57. “A SCUBA diver's tank holds 200.0 liters of air at 27.0 °C and 150.0 atm. How many 1.50 liter breaths can the diver take where the pressure is 4.00 atm and the temperature is 7.00 °C? 58. You drive to school in a hurricane where the pressure is an abnormally low 720.0 mmHg. However, when you get out of your car you notice that the volume of your tires seems to be a normal 29 L. During the day a high pressure, bright sunshine system moves overhead changing the pressure to 780.0 mmHg. When you come back A NATURAL APPROACH TO CHEMISTRY outside you notice your tires seem a little flat. What is the new volume of your tires? 70. What mass of CO2 is needed to fill an 80.0 L tank to a pressure of 150.0 atm at 27.0 °C? 59. During the day at 25.0 °C a cylinder with a sliding top contains 20.0 liters of air. At night it only holds 18.0 liters of air. None of the air leaked out. What is the temperature at night? Give the answer in Kelvins and in °C. 71. At what temperature does 5.00 g of H2 occupy a volume of 50.0 L at a pressure of 1.01 atm? 72. How many moles of gas would you have if you had a volume of 38.0 L under a pressure of 1432 mmHg at standard temperature? 60. At what temperature would 2.10 moles of N2 gas have a pressure of 1.25 atm in a 25.0 L tank? Section 14.3 61. When filling a weather balloon with gas you have to consider that the gas will expand greatly as it rises and the pressure decreases. Let’s say you put about 10.0 moles of He gas into a balloon that can inflate to hold 5000.0 L. Currently, the balloon is not full because of the high pressure on the ground. What is the pressure when the balloon rises to a point where the temperature is -10.0 °C and the balloon has completely filled with the gas. 62. What volume is occupied by 5.03 g of O2 at 28 °C and a pressure of 0.998 atm? 63. Calculate the pressure in a 212 Liter tank containing 23.3 kg of argon gas at 25°C? 64. If you were to take a volleyball scuba diving with you what would be its new volume if it started at the surface with a volume of 2.00 L, under a pressure of 752.0 mmHg and a temperature of 20.0 °C? On your dive you take it to a place where the pressure is 2943 mmHg, and the temperature is 0.245 °C. 65. What is the volume of 1.00 mole of a gas at standard temperature and pressure? 66. A 113L sample of helium at 27 °C is cooled at constant pressure to -78.0 °C. Calculate the new volume of the helium. 73. Use the following chemical equation to answer questions 73 through 76. 2 C8H18 + 25 O2 → 16 CO2 + 18 H2O 74. If 4.00 moles of gasoline are burned, what volume of oxygen is needed if the pressure is 0.953 atm, and the temperature is 35.0 °C? 75. How many grams of water would be produced if 20.0 liters of oxygen were burned at a temperature of -10.0 °C and a pressure of 1.3 atm? 76. If you burned one gallon of gas (approximately 4000 grams), how many liters of carbon dioxide would be produced at a temperature of 21.0 °C and a pressure of 1.00 atm? 77. How many liters of oxygen would be needed to produced 45.0 liters of carbon dioxide if the temperature and pressure for both are 0.00 °C and 5.02 atm? 78. Use the following chemical equation, which shows the acetylene combustion reaction used in acetylene welding torches, to answer questions 78 through: 2 C2H2 + 5 O2 → 4 CO2 + 2 H2O 67. What volume is occupied by 2.35 mol of He at 25 °C and a pressure of 0.980 atm? 79. If you had 0.564 moles of acetylene, what volume of oxygen would be needed to react with it, if the pressure was 13.9 psi and the temperature was 23 °C? 68. An aerosol can contains 400.0 ml of compressed gas at 5.2 atm pressure. When the gas is sprayed into a large plastic bag, the bag inflates to a volume of 2.14 L. What is the pressure of gas inside the plastic bag? 80. What volume of acetylene did you use if 10.5 grams of water were produced and the pressure was 12.0 atm and the temperature was 18 °C? 69. At what temperature does 16.3 g of nitrogen gas have a pressure of 1.25 atm in a 25.0 L tank? 81. What is the temperature of the reaction if 3.65 moles of oxygen are used and 500.0 Liters of CO2 are produced under a pressure of 1.04 atm? A NATURAL APPROACH TO CHEMISTRY 471
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