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Where did the energy required to maintain the system at a constant temperature in the two isothermal processes described?

PAth A- sudden irreversible decrease in pressure from P1 to P2 ( P2

Path B- Gradual reversible derease in pressure from P1 to P2 such that the internal and external pressures remain in equilibrium at every step along the path. and how is the energy related to the amount of work that was perfromed along each path?

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