A cylindrical tube with adiabatic walls having volume 2V₀ contains an ideal monoatomic gas as shown in figure. The tube is divided into two equal parts by a fixed super conducting wall. Initially, the pressure and the temperature are P₀, T₀ on the left and 2P₀, 2T₀ on the right. When system is left for sufficient amount of time the temperature on both sides becomes equal (a) Find work done by the gas on the right part? (b) Find the final pressures on the two sides. (c) Find the final equilibrium temperature. (d) How much heat has flown from the gas on the right to the gas on the left? Which of the following gives the correct final result?

Question

G1 Physics · Accepted Answer

The partition is fixed, so Wᵣ=0. Energy can pass only through the conducting wall. At equilibrium both sides have the same temperature T₂=3T₀/2, and each side has the same final pressure 3P₀/2. The heat transferred from the right side is 3P₀V₀/4. Therefore option A.