Compressed air can be pumped underground into huge caverns

Chapter , Problem 42

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Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume of a cavern is 5.6 3 105 m3 , and the pressure of the air in it is 7.7 3 106 Pa. Assume that air is a diatomic ideal gas whose internal energy U is given by U 5 5 2 nRT. If one home uses 30.0 kW ? h of energy per day, how many homes could this internal energy serve for one day?

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