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Physics · Thermodynamics

JEE Main 2026 — 6 April, Evening Shift — Question 4

A cylinder with adiabatic walls is closed at both ends and is divided into two compartments by a frictionless adiabatic piston. Ideal gas is filled in both compartments at same P, V, T. Heating is started from left side until pressure changes to 27P8\frac{27P}{8}. If initial volume of each compartment was 9 litres then the final volume in right-hand side compartment is ______ litres. (for this ideal gas Cp/Cv=1.5C_p/C_v = 1.5)

  1. Option A:

    3

  2. Option B:

    4

    Correct
  3. Option C:

    14

  4. Option D:

    9

Answer: B

Step-by-step solution

For right compartment (adiabatic compression): PiViγ=PfVfγP_i V_i^\gamma = P_f V_f^\gamma with γ=1.5=3/2\gamma=1.5=3/2. P×93/2=27P8×Vf3/2P \times 9^{3/2} = \frac{27P}{8} \times V_f^{3/2}. 93/2=279^{3/2}=27, so 27=278Vf3/2⇒Vf3/2=8⇒Vf=427 = \frac{27}{8} V_f^{3/2} \Rightarrow V_f^{3/2}=8 \Rightarrow V_f = 4 litres.

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Paper
6 April, Evening Shift
Subject
Physics
Chapter
Thermodynamics
Topic
Calculation of Work, Heat and Internal Energy
A cylinder with adiabatic walls is closed at both ends and is divided… | JEE Main 2026 PYQ with Solution · DhiX AI