Physics · Kinetic Theory of Gases

JEE Main 2025 — 3 April, Evening Shift — Question 64

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:

  1. Option A:

    25∘C25^{\circ} \mathrm{C}

  2. Option B:

    250∘C250^{\circ} \mathrm{C}

  3. Option C:

    250 K

    Correct
  4. Option D:

    2500 k

Answer: C

Step-by-step solution

For constant volume

PT=\frac{P}{T}= constant

ΔPP=ΔTT\frac{\Delta P}{P}=\frac{\Delta T}{T}

0.4100=1T\frac{0.4}{100}=\frac{1}{T}

T=1000.4=250 KT=\frac{100}{0.4}=250 \mathrm{~K}

Answer key and solution verified before publishing.

Practise Kinetic Theory of Gases

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Exam
JEE Main 2025
Subject
Physics
Chapter
Kinetic Theory of Gases
Topic
Energy of Gas and Gas Laws and Miscellaneous Problems
Pressure of an ideal gas, contained in a closed vessel, is increased… | JEE Main 2025 PYQ with Solution · DhiX AI