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One mole of a monoatomic ideal gas is ex...

One mole of a monoatomic ideal gas is expanded by a process described by `PV^(3)` = C where C is a constant. The heat capacity of the gas during the process is given by (R is the gas constant)

A

2R

B

`5/2 R`

C

`3/2 R`

D

R

Text Solution

Verified by Experts

The correct Answer is:
D
Monoatomic gas `gamma =5//3, n=1`
`PV^3 = C`
on comparing with `PV^(alpha) =C` here `alpha` = 3
Heat capacity (C) = `(R)/(gamma-1)-(R)/(d-1)`
`implies C=(R)/(2//3)-R/2`
`implies C=R`.
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