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Question

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1and T2 (T1<T2). The correct graphical depiction of the dependence of work done (w) on the final volume (V) is:

A


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B


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C


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D


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Solution

The correct option is B


For isothermal expansion,
w=−nRTlnV2V1
|w|=nRTlnV2V1

|w|=nRTlnV2−nRTlnV1
y=mx-c
So,the slope of curve 2 is more than the slope of curve 1 and the intercept of curve 2 is more negative than the intercept of curve 1

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