Two vessels A and B are connected via stopcock. The vessel A is filled with a gas at a certain pressure. The…


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?
  1. \(d w \neq 0\)
  2. \(\mathrm{dq} \neq 0\)
  3. \(\mathrm{dU} \neq 0\)
  4. The pressure in the vessel \(B\) before opening the stopcock is zero.

Solution

It is free expansion of gas \(\Rightarrow P_{\text {ext }}=0\)
Where \(\mathrm{w}=0, \mathrm{q}=0\) and \(\Delta \mathrm{U}=0\)

Asked in: JEE Main 2025 (02 Apr Shift 1)

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