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One kilogram of a diatomic gas is at a pressure of  8×104Nm2. The density of the gas  is  4kgm3. What is the energy of the gas due to its thermal motion?

a
3×104J
b
4×104J
c
5×104J
d
7×104J

detailed solution

Correct option is C

Thermal energy corresponds to internal energyAs per law of equipartition of energy,Energy per mole =  fRT2Hence energy of gas =  number  of  molesfRT2=nfRT2=fPV2=58×104Nm−214m32=5×104J

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