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Solution


Q.

Two vessels A and B are connected via stopcock.

The vessel A is filled with a gas at a certain pressure. The entire assembly is immersed in water and is allowed to come to thermal equilibrium with water. After opening the stopcock the gas from vessel A expands into vessel B and no change in temperature is observed in the thermometer. Which of the following statement is true          [2025]
1 dw≠0  
2 dq≠0  
3 dU≠0  
4 The pressure in the vessel B before opening the stopcock is zero.  

Ans.

(4)

As the process is isothermal, q = 0. As it is free expansion (Pext=0), w=-PextΔV=0. By first law of thermodynamics, ΔU=q+w=0.