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JEE Main 20253 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
3 April
Shift
Evening Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2025 · 3 April · Evening Shift · Physics · Thermodynamics

Pressure of an ideal gas, contained in a closed vessel, is...

Pressure of an ideal gas, contained in a closed vessel, is increased by 0.4%0.4 \% when heated by 1∘C1^{\circ} \mathrm{C}. Its initial temperature must be :

Options

  1. A25∘C25^{\circ} \mathrm{C}
  2. B2500 K2500\mathrm{~K}
  3. C250 K250\mathrm{~K}
  4. D250∘C250^{\circ} \mathrm{C}

Correct answer

C. 250 K250\mathrm{~K}

Step-by-step solution

Isochoric process
P∝TΔPP=ΔTT\begin{aligned} & \mathrm{P} \propto \mathrm{T} \\ & \frac{\Delta \mathrm{P}}{\mathrm{P}}=\frac{\Delta \mathrm{T}}{\mathrm{T}}\end{aligned}
0.4100=1TT=250 K\begin{aligned} & \frac{0.4}{100}=\frac{1}{T} \\ & T=250 \mathrm{~K}\end{aligned}
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