# How many moles of air must escape from a 10 m 80 m 50

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55. How many moles of air must escape from a 10-m × 8.0-m × 5.0-m room when the temperature is raised from 0°C to 20°C? Assume the pressure remains unchangedat one atmosphere while the room is heated.
56. Estimate the volume of a helium-filled balloon at STP if it is to lift a payload of 500 kg. The density of air is 1.29 kg/m3 and helium has a density of 0.178 kg/m3
57. Tricia puts 44 g of dry ice (solid CO2) into a 2.0-L container and seals the top. The dry ice turns to gas at room temperature (20°C). Find the pressure increase in the2.0-L container.
58. The mass of a hot-air balloon and its cargo (not including the air inside) is 200 kg. The air outside is at a temperature of 10°C and a pressure of 1 atm = 105 N/m2.The volume of the balloon is 400 m3. Which temperature below of the air in the balloon will allow the balloon to just lift off?
59. 9.0 g of water in a 2.0-L pressure vessel is heated to 500°C. What is the pressure inside the container?
60. A spherical air bubble originating from a scuba diver at a depth of 18.0 m has a diameter of 1.0 cm. What will the bubble’s diameter be when it reaches the surface?
61. A tank with a volume of 0.150 m3 contains 27.0°C helium gas at a pressure of 100 atm. How many balloons can be blown up if each filled balloon is a sphere 30.0cm in diameter at 27.0°C and absolute pressure of 1.20 atm?
62. The ideal gas law treats gas as consisting of:
63. The sulfur hexafluoride molecule consists of one sulfur atom and six fluorine atoms. The atomic masses of sulfur and fluorine are 32.0 u and 19.0 u respectively.One mole of this very heavy gas has what mass?
64. A room has a volume of 60 m3 and is filled with air of an average molecular mass of 29 u. What is the mass of the air in the room at a pressure of 1.0 atm andtemperature of 22°C?
65. Different units can be used for length: m and cm, and of these two, m is the larger by a factor of 100. Different units can also be used for R: (1) J/molK, (2)Latm/molK, and (3)(N/m2)m3/molK. Which of these units for R is the largest?
66. Two one-liter containers each contain 10 moles of a gas. The temperature is the same in both containers. Container A holds helium (molecular mass = 4 u), andContainer B holds oxygen (molecular mass = 16 u). Which container has the higher pressure and by what factor?

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Chapter 18 / Exercise 26
Physics for Scientists and Engineers
Jewett/Serway
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