Question

$2$ moles of an ideal monatomic gas performs a cyclic process as shown in the figure. The temperatures in different states are $T_{1}=400\,K,T_{2}=800\,K,T_{3}=2400\,K$ and $T_{4}=1200\,K.$ Determine the work done by the gas during the cycle

• A. $800\,R$
• B. $1600\,R$
• C. $2400\,R$
• D. $4800\,R$

Answer 1

Answer: (B)

$W_{12}=W_{34}=0$
So $W=W_{23}+W_{14}$
$=P_{2}\left(V_{3} - V_{2}\right)+P_{1}\left(V_{1} - V_{4}\right)$
$=nR\left(T_{1} + T_{3} - T_{2} - T_{4}\right)$
$=2\times R\left[\right.40+2400-800+1200\left]\right.$
$=1600\,R$