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One mole of an ideal gas at an initial t...

One mole of an ideal gas at an initial temperature true of `TK` does `6R` joule of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is `5//3`, the final temperature of the gas will be

A

`(T+2.4)K`

B

`(T-2.4)K`

C

`(T+4)K`

D

`(T-4)K`

Text Solution

Verified by Experts

The correct Answer is:
D
For adiabatic process,
`DeltaW=-DeltaU=-nC_(V)(T_(f)-T_(i))`
`6R=(-1)/((5)/(3)-1)R[T_(f)-T_(i)] rArr T_(f)-T_(i)=-4`
`therefore T_(f)=(T-4)K`
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