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Homework Statement
After a free expansion to quadruple its volume, a mole of ideal diatomic gas is compressed back to its original volume isobarically and then cooled down to its original temperature. What is the minimum heat removed from the gas in the final step to restoring its state?
Homework Equations
pV = nRT
W = pΔV
ΔEint = Q - W
The Attempt at a Solution
I think ΔEint would be zero since it returns to its original temperature, so
Q = W
However, I don't know where to go from here. Could somebody explain?