Physics · Thermodynamics

JEE Main 2025 — 23 January, Morning Shift — Question 65

item An ideal gas initially at 0∘C0^{\circ} \mathrm{C} temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is 3/23 / 2, the change in temperature due to the thermodynamics process is \qquad K.

Answer: 273

Numerical answer — enter this value.

Step-by-step solution

γ=32\gamma=\frac{3}{2}

Tγ−1=C\mathrm{T}^{\gamma-1}=\mathrm{C}

273 V00.5=T(V04)0.5273 \mathrm{~V}_{0}^{0.5}=\mathrm{T}\left(\frac{\mathrm{V}_{0}}{4}\right)^{0.5}

T=273×2=546\mathrm{T}=273 \times 2=546

ΔT=273\Delta \mathrm{T}=273

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Thermodynamics
Topic
Different Thermodynamic Processes
item An ideal gas initially at 0 ° C temperature, is compressed… | JEE Main 2025 PYQ with Solution · DhiX AI