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One mole of an ideal gas at an initial temperature of T K does 6R. 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 the gas will be 

a
T+2.4 K
b
T -2.4K
c
T+4K
d
T-4 K

detailed solution

Correct option is D

work done in adiabatic process =dW=-dU=-nCvdT here Cv= 3R2 6R=-3R2dT      dT=-4 final temperature T-4

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