Two cylinders A and B of equal capacity are c | vedclass

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(C) The process described is known as free expansion,where a gas expands into a vacuum.Since the system is thermally insulated,there is no heat exchan

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adiabatic

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(C) The process described is known as free expansion,where a gas expands into a vacuum.Since the system is thermally insulated,there is no heat exchange with the surroundings,meaning $Q = 0$.Because the gas expands into a vacuum,it does no work against any external pressure,meaning $W = 0$.According to the first law of thermodynamics,$\Delta U = Q - W$. Since $Q = 0$ and $W = 0$,the change in internal energy $\Delta U = 0$.For an ideal gas,internal energy depends only on temperature. Therefore,if $\Delta U = 0$,the temperature remains constant.However,the defining characteristic of a process where $Q = 0$ is that it is an adiabatic process.

Two cylinders $A$ and $B$ of equal capacity are connected to each other via a stop cock. Cylinder $A$ contains an ideal gas at standard temperature and pressure. Cylinder $B$ is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is:

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