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1 mole of an ideal gas A (C(v,m)=3R) and...

1 mole of an ideal gas A (`C_(v,m)=3R`) and 2 mole of an ideal gas B are `(C_(v.m)= (3)/(2)R)` taken in a constainer and expanded reversible and adiabatically from 1 litre of 4 litre starting from initial temperature of 320K. `DeltaE or DeltaU` for the process is (in Cal) (Give your answer after divide with 240)

A

`-240R`

B

240R

C

`-1920` Cal

D

`-960R`

Text Solution

Verified by Experts

The correct Answer is:
C, D
`C_(V_("avg")) = (1 xx 3R + 2 xx (3)/(2) R)/(1 +2) = 2R rArr gamma = 3//2`
`T_(1) V_(1)^(gamma-1) = T_(2) V_(2)^(gamma-1)`
`320 xx (1)^(1//2) = T_(2) (4)^(1//2) rArr T_(2) = (320)/(2) = 160K`
`Delta U= nC_(v) Delta T= 3 xx 2R xx (160-320)`
`= -960 R = - 1920` cal
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