One kg of a diatomic gas is at a pressure of `8 xx 10^(4) N//m^(2)`. The density of the gas is `4kg//m^(3)`. What is the energy of the gas due to its thermal motion ?

Options

A. `6 xx 10^(4)J`
B. `7 xx 10^(4)J`
C. `3 xx 10^(4)J`
D. `5 xx 10^(4)J`

Answer

C

Explanation

Energy of the diatomic gas `(5)/(2)nRT = (5)/(2)PV = (5)/(2)xx 8 xx 10^(4) xx (1)/(4) = 5 xx 10^(4)J`