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One kg of a diatomic gas is at pressure ...

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?

A

`3xx10^(4) J`

B

`5xx10^(4) J`

C

`6xx10^(4) J`

D

`4xx10^(4) J`

Text Solution

Verified by Experts

The correct Answer is:
B
For a diatomic molecular ga, internal energy per molecule is
`U=5/2NK_(B)T`
`PV=NK_(B)T`
From equations is (i) and (ii)
`U=5/2PV`
Here, `P=8xx10^(4)Nm^(-2),rho=4 kgm^(-3),m=1kg`
`thereforeU=5/2xx8xx10^(4)xx1/4=5xx10^(4)J`
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