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A polytropic process for an ideal gas is...

A polytropic process for an ideal gas is represented by equation `PV^(n) = constant`. If g is ratio of specific heats `((C_(p))/(C_(v)))`, then value of n for which molar heat capacity of the process is negative is given as

A

`gamma gt n`

B

`gamma gt n gt 1`

C

`n gt gamma`

D

none, as it is not possible

Text Solution

Verified by Experts

The correct Answer is:
B
`C = (R )/(gamma-1) - (R )/(n-1) = (R(n-gamma))/((n-1)(gamma-1))`
`C` is negative if `gamma gt n gt 1`.
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