Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Thermodynamics

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 : 

152990

Options:

5 kJ

10 kJ

15 kJ

20 kJ

Correct Answer:

20 kJ

Explanation:

\(Process_{1 \rightarrow 2}\) and \(Process_{3 \rightarrow 4}\) are isochoric process

W12 = 0 ; W34 = 0

W23 = n R (T3 - T2) = 3 R (2400-800) = 4800 R

W41 = n R (T1 - T4) = 3 R (400-1200) = -2400 R

W = (4800-2400) R = 2400 R = 20 kJ