PYQKTGHard
Question
Three moles of an ideal monoatomic gas perform a cycle shown in figure. The gas temperatures in different states are T1 = 400 K, T2 = 800 K, T3 = 2400 K, and T4 = 1200 K. The work done by the gas during the cycle is :- 
Options
A.5 kJ
B.10 kJ
C.15 kJ
D.20 kJ
Solution
(D)
Process1→2 and Process3→4 are isochoric process.
W12 = 0
W34 = 0
W23 = n R (T3 − T2)
= 3 R (2400 − 800) = 4800 R
W41 = nR (T1 − T4)
= 3 R (400 − 1200) = − 2400 R
W = (4800 − 2400) R = 2400 R
= 20 kJ
Process1→2 and Process3→4 are isochoric process.
W12 = 0
W34 = 0
W23 = n R (T3 − T2)
= 3 R (2400 − 800) = 4800 R
W41 = nR (T1 − T4)
= 3 R (400 − 1200) = − 2400 R
W = (4800 − 2400) R = 2400 R
= 20 kJ
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