(a) Using the left figure below, show graphically why work done by a system undergoing pV expansion is maximal when it is carried out reversibly. (b) Starting from the definition of pV work, derive an analytical expression for the work done on an ideal gas (i.e., obeying the ideal gas law, the right figure below). 10, pV = RT 8- reversible 6- P1 4- irreversible 2 2-P2 10 20 V (L) 30 p (bar)

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