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An amount Q of heat is added to a monoat...

An amount `Q` of heat is added to a monoatomic ideal gas in a process in which the gas performs work `Q/2` on its surrounding. Find the molar heat capacity for the process.

A

`2R`

B

`3R`

C

`4R`

D

`6R`

Text Solution

Verified by Experts

The correct Answer is:
B
First law of thermodynamics `Q = W + Delta U`
`Q = Q/2 + Delta U`
`implies Delta U = 3nRDeltaT`
`implies nCDeltaT = 3nRDeltaT`
`C = 3R`
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