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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

270 K

B

273 K

C

248.5 K

D

200 K

Text Solution

Verified by Experts

The correct Answer is:
C

`because " "q = 0 " "thereforeDeltaU=w`
`implies nC_(v,m)(T_(2)-T_(1))=-P_("ext")[(nRT_(2))/(P_(2))-(nRT_(1))/(P_(1))]`
`thereforeC_(v,m)[T_(2)-T_(1)]=P_("ext").R[(T_(1))/(P_(1))-(T_(2))/(P_(2))]`
`implies (5)/(2)R[T_(2)-300]=2xxR[(300)/(5)-(T_(2))/(2)]`
`implies " "T_(2)=248.5 K`
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