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← JEE Main 2026 · 6 Apr · Shift 2
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JEE Main 2026 · 6 Apr · Shift 2, Physics question 30

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 (left and right) the compartments at same PP, VV, TT. Heating is started from left side until pressure changes to 27P/827P/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)

Choose one option
Answer and worked solution

Official answer: B

Right compartment. It is compressed adiabatically from P to 278P\tfrac{27}8P:
V=9(827)1/1.5=9⋅49=4 L.V=9\left(\frac8{27}\right)^{1/1.5}=9\cdot\frac49=4\text{ L}.

(B)