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

One mole of an ideal gas at an initial temperature of T K does 6 R joules 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 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]implies T_f - T_i = -4`
`:. T_f = (T-4) K`
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