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The left and right compartments of a thermally isolated container of length L are separated by a thermally conducting, movable piston of area A. The left and right compartments are filled with 32 and 1 moles of an ideal gas, respectively. In the left compartment the piston is attached by a spring with spring constant k and natural length 2L5. In thermodynamic equilibrium, the piston is at a distance L2 from the left and right edges of the container as shown in the figure. Under the above conditions, if the pressure in the right compartment is P= kLA , then the value of is [figure]
JEE Advanced 2025 Paper 2