First slide

Different type of processes

Question

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

Moderate

A

$(T + 2.4) K$
B

$(T - 2.4) K$
C

$(T + 4) K$
D

$(T - 4) K$

Solution

$w o r k d o n e i n a d i a b a t i c p r o c e s s = d W = - d U = - n C_{v} d T h e r e C_{v} = \frac{3 R}{2} 6 R = - \frac{3 R}{2} d T d T = - 4 f i n a l t e m p e r a t u r e T - 4$

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