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An ideal gas occupies a volume of 2m^(...

An ideal gas occupies a volume of `2m^(3)` at a pressure of `3xx10^(6)` p,a the energy of the gas is :

A

`10^8 J`

B

`6 xx10^4 J`

C

`3xx10^2 J`

D

`9 xx10^6 J`

Text Solution

Verified by Experts

The correct Answer is:
D
Data missing, they should have given gas as monoatomic/diatomic etc.
Solving by assuming monoatomic gas. Energy associated per mole with each degree of Freedom `=(1)/(2)RT`
For n mole `=(nRT)/(2), " "PV=nRT=2xx3xx10^(6)`
`=6xx10^(6)`
Monoatomic gas has 3 degree of freedom `=(3)/(2)xx6xx10^(6)`
`=9xx10^(6) J`.
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