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A gas (C(v.m) = (5)/(2)R) behaving ideal...

A gas `(C_(v.m) = (5)/(2)R)` behaving ideally is allowed to expand reversibly and adiabatically from `1` litre to `32` litre. Its initial temperature is `327^(@)C`. The molar enthalpy change (in `J//mol`) for the process is :

A

`-1125 R`

B

`-625 R`

C

`-1575 R`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`(T_(2))/(T_(1)) = ((V_(1))/(V_(2)))^(gamma-1)`
or `T_(2) = 150 K`
`DeltaH_(m) = nC_(P)DeltaT = (7)/(2)R(150 - 600) = -1575 R`
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