Reversible isothermal expansion at . Correct graph of work done vs final volume :

Question

Reversible isothermal expansion at . Correct graph of work done  vs final volume :

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Strategy:
 For a reversible isothermal expansion of an ideal gas, the work  is defined as . Analyize the mathematical dependency of  on both  and .

Step 1: General behavior
The function  starts at  (when ) and becomes increasingly negative as  grows (due to the  term). The curve follows a logarithmic profile.

Step 2: Temperature dependency
Since  is proportional to temperature (), a higher temperature () will lead to a more steeply descending (more negative) curve at every volume .
Result: Gra

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