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
AIPMT 2004, Medium
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(d) $W = \frac{{R({T_i} - {T_f})}}{{\gamma - 1}}$
$\Rightarrow$ $6R = \frac{{R(T - {T_f})}}{{\left( {\frac{5}{3} - 1} \right)}}$ $⇒$ ${T_f} = (T - 4)K.$
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