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An ideal gas with adiabatic exponent (ga...

An ideal gas with adiabatic exponent (`gamma=1.5`) undergoes a process in which work done by the gas is same as increase in internal energy of the gas. Here R is gas constant. The molar heat capacity C of gas for the process is:

A

C=4R

B

C=0

C

C=2R

D

C=R

Text Solution

Verified by Experts

The correct Answer is:
A
`intPdV=intnC_(v)dt`
`rArr dQ=2 dU rArr nCdT=2 nC_(v)=dT rArr C=2C_(v)rArr C=(2R)/(1.5-1) =4R`
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