A gas allowed to expand in a well insulated container against a constant external pressure of 2.5atm from an initial volume of 2.50L to a final volume of 4.50L. 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=−PextΔV=−2.5(4.50−2.50) W=−5Latm=−5×101.325L.bar=−506.625J ΔU=q+W
As, the container is insulted, thus q=0
Hence, ΔU=W=−506.625J≈−505J