#4 4. Compressed air can be pumped underground into huge caverns as a form of energy storage. Thevolume of a cavern is 9.4 x 10° m³, and the pressure of the air in it is 9.8 x 106 Pa. Assume thatair is a diatomic ideal gas whose internal energy U is given by U (5/2)nRT. If one home uses20.0 kW h of energy per day, how many homes could this internal energy serve for one day?

Formulas used: PV=nRT And energy consumed by one house in 1 day =20×103Joulessec×hr =…

Answered: Compressed air can be pumped…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 20.12OQ: If a gas is compressed isothermally, which of the following statements is true? (a) Energy is...

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4. Compressed air can be pumped underground into huge caverns as a form of energy storage. The
volume of a cavern is 9.4 x 10° m³, and the pressure of the air in it is 9.8 x 106 Pa. Assume that
air is a diatomic ideal gas whose internal energy U is given by U (5/2)nRT. If one home uses
20.0 kW h of energy per day, how many homes could this internal energy serve for one day?

Expert Solution

Step 1

Formulas used:

$P V = n R T$

And energy consumed by one house in 1 day = $20 \times 10^{3} \frac{J o u l e s}{s e c} \times h r = 20 \times 10^{3} \frac{J o u l e s}{s e c} \times 3600 s e c = 72000 \times 10^{3} J o u l e s$

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