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One Kilogram of a diatomic gas is at pressure of 8 x104N/m2  The density of the gas is 4kg/m3. What is the energy of the gas due to its thermal motion?

a
3 x104 J
b
5 x104J
c
6 x 104J
d
7 x 104J

detailed solution

Correct option is B

For a diatomic molecular gas internal energy per molecule is,U=52NKB THowever , PV=NKBT. Therefore, the total energy isU=52PVAlso , We Know that V=massdensity=14m3Therefore,U=52x 8 x 104 x 14=5x104J

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