Two connected adiabatic cylinders have piston areas A₁ and A₂. The thermally insulating pistons are connected by a rigid rod. Initially the gas inside and outside is at pressure p₀ and temperature T₀. A heater supplies energy P t. Use the source figure and geometry.

Physics · Thermodynamics

JEE Advanced

Two connected adiabatic cylinders have piston areas A₁ and A₂. The thermally insulating pistons are connected by a rigid rod. Initially the gas inside and outside is at pressure p₀ and temperature T₀. A heater supplies energy P t. Use the source figure and geometry.

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Sub-question 1

Find the change in temperature ΔT when heat energy Q is supplied. V₀ is the initial volume.

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Sub-question 2

Find the piston displacement x at time t.

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