2 moles of an ideal monatomic gas performs a cyclic process as shown in the figure. The temperatures in different states are T1=400 K,T2=800 K,T3=2400 K and T4=1200 K. Determine the work done by the gas during the cycle

Question

2 moles of an ideal monatomic gas performs a cyclic process as shown in the figure. The temperatures in different states are T1=400 K,T2=800 K,T3=2400 K and T4=1200 K. Determine the work done by the gas during the cycle <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-lwdmywh4evdbety7.jpg" /> (A) 800 R (B) 1600 R (C) 2400 R (D) 4800 R

Tardigrade Admin · Accepted Answer

W12=W34=0 So W=W23+W14 =P2(V3 - V2)+P1(V1 - V4) =nR(T1 + T3 - T2 - T4) =2× R[.40+2400-800+1200]. =1600 R

Q. $2$ 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

$800 R$

$1600 R$

$2400 R$

$4800 R$

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

Q. 2 moles of an ideal monatomic gas performs a cyclic process as shown in the figure. The temperatures in different states are T1​=400K,T2​=800K,T3​=2400K and T4​=1200K. Determine the work done by the gas during the cycle

800R

1600R

2400R

4800R