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CASE 3: The energy input is specified and the gas is ideal:
1. We know the work done. (Because the energy input was entirely the
result of work.)
2. We know the final temperature. (Because we know the final energy.)
3. We don't know the final entropy. (Because we don't know the final
volume.)
4. We don't know if stirring occurred. (Because we don't know if the
entropy increased.)