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Question

An insulated container is divided into two equal portions. One portion contains an ideal gas at pressure P and temperature T. The other portion is a perfect vacuum, if a hole is opened between two portion then

A
Temperature remains constant
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B
Temperature increases
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C
Temperature decreases
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D
Temperature is initially constant and then increases
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Solution

The correct option is A Temperature remains constant
Since container is insulated
q is 0. Expansion is free thus w=0
From 1st law of thermodynamics
ΔU=q+W=0 as q=0,W=0 & T is function of ΔU thus temperature remains constant.

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