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Question

Assertion :If an ideal gas expands in vacuum in an insulated chamber, ΔQ, ΔU and ΔW all are zero. Reason: Temperature of the gas remains constant.

A
Statement-1 is false, Statement-2 is true.
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B
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
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C
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
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D
Statement-1 is true, Statement-2 is false
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Solution

The correct option is C Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
In free expansion there is no external pressure. Therefore, work done is zero .
Since its vacuum , no heat is supplied . Therefore Q is zero .
From first law of thermodynamics, ΔU=WQ=0.

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