A) \[\frac{3}{2}T\]
B) \[\frac{2T}{3}\]
C) \[T\]
D) None of these
Correct Answer: C
Solution :
Free expansion is adiabatic process in which no work is performed on or by the system. Consider two vessels placed in a system which is enclosed with thermal insulation (asbestos covered). One vessel contains a gas and the other is evacuated. When suddenly the stop cock is opened, the gas rushes into the evacuated vessel and expands freely. \[\Delta W=0\] (Because walls are rigid) \[\Delta Q=0\] (Because walls are insulated) \[\Delta U={{U}_{f}}-{{U}_{i}}=0\] (Because \[\Delta Q\] and \[\Delta W\] are zero). Thus, the final and initial internal energies are equal in free expansion. The temperature remains T.
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