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Question

A gas is allowed to expand in a well insulated container against a constant external pressure of 2.5 atm from an initial volume of 2.50 L to a final volume of 4.50 L. The change in internal energy ΔU of the gas in joules will be

A
– 500J
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B
– 505J
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C
+ 505J
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D
1136.25J
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Solution

The correct option is B – 505J
W=Pext ΔV=2.5(4.502.50)
=5 L atm=5×101.325J=506.625 J
ΔU=q+w
As, the container is insulated, thus q = 0
Hence, ΔU=w=506.625J

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