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A rectangualr box (shown in figure) has ...

A rectangualr box (shown in figure) has a movable and smooth portition which can slide along the length of the box. Both chambers contains 1 mole of monoatomic gas (`gamma=(5)/(3)`) at a pressure walls of box and partition are thermally insulated. Due to heating, gas in left chamber expands until pressure in both chambers become `32P_(0)` determine
(a) The final temperature of gas in each chamber
(b) The work done by the gas in the right chamber.

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The rectangular box shown in Fig has partition which can slide without friction along the length of the box. Initially each of the two chambers of the box has one mole of a mono-atomic ideal gas (lambda=5//3) at a pressure P_0 , volume V_0 and temperature T_0 . The chamber on the left is slowly heated by an electric heater. The walls of the box and the lead wires of the heater is negligible. The gas in the left chamber expands pushing the partition until the final pressure in both chambers becomes 243P_0//32 . Determine (i) the final temperature of the gas in each chamber and (ii) the work done by the gas in the right chamber.

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