Physics · Thermodynamics

JEE Main 2025 — 7 April, Morning Shift — Question 66

An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is \qquad ×10−1 J\times 10^{-1} \mathrm{~J}. (Take π=3.14\pi=3.14 )

Question figure

Answer: 314

Numerical answer — enter this value.

Step-by-step solution

ΔW=π(Δv2)⋅(Δp2)\Delta W=\pi\left(\frac{\Delta v}{2}\right) \cdot\left(\frac{\Delta p}{2}\right)

Δw=π×100×10−6×100×103=3.14×10=31.4 J=314×10−1 J\begin{aligned} \Delta w & =\pi \times 100 \times 10^{-6} \times 100 \times 10^{3} & =3.14 \times 10=31.4 \mathrm{~J}=314 \times 10^{-1} \mathrm{~J} \end{aligned}

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Thermodynamics
Topic
Efficiency of Processes and Miscellaneous Problems
An ideal gas has undergone through the cyclic process as shown in the… | JEE Main 2025 PYQ with Solution · DhiX AI