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One mole of an ideal monatomic gas under...

One mole of an ideal monatomic gas undergoes a process described by the equation `PV^(3)`= constant. The heat capacity of the gas during this process is

A

`R`

B

`3/2R`

C

`5/2R`

D

2R

Text Solution

Verified by Experts

The correct Answer is:
A
`PV^3` = constant
for a polytropic process, `PV^alpha ` = constant
`C = C_v + R/(1 - alpha) = 3/2 R + R/(1 - 3) = (3R)/(2) - R/2 = R`.
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