One kg of a diatomic gas is at pressure of `8xx10^4N//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. `5 xx 10^(4) J`
B. `6 xx 10^(4) J`
C. `7 xx 10^(4) J`
D. `3 xx 10^(4) J`

Answer

A

Explanation

For diatomic gas number of degrees of freedom per molecules is , n=5
Average K.E. Of diatomic gas due to thermal motion is `E = 5/2 (nR)T = 5/2 PV = 5/2 xx P xx m/(rho)`
`=(5 xx (8 xx 10^(4))xx1)/(2 xx 4) = 5 xx 10^(4) J`.