Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2018-Paper-1 A closed tank has two compartments A and B, …
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2018-Paper-1 Numeric Response
Published on: August 13, 2026

A closed tank has two compartments A and B, both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure 1). If the old partition is replaced by a new partition which can slide and conduct heat but does NOT allow the gas to leak across (Figure 2), the volume (in m 3 ) of the compartment A after the system attains equilibrium is

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The correct answer is:
2.22

(2.22)

As in fig 2, the system attains equilibrium, so,

P A = P B and T A = T B

Due to sliding of piston vol. of A will be increased by x and that of B will be decreased by x.

V A =1+x

V B = 3-x

Hence volume of container A will be

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