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Can you tell? 4.7.3.6 · Q1

Q.How would you interpret the equation Q = W (Eq. 4.21) for a cyclic process?

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✓ Free question

Over a complete cycle ΔU = 0, so all the net heat exchanged equals the net work done — a heat engine converts the net heat it absorbs into an equal amount of net work each cycle.

For a cyclic process the system returns to its initial state, so the change in internal energy over the whole cycle is zero (ΔU = 0). The first law ΔU = Q − W then reduces to Q = W: the net heat exchanged in the cycle equals the net work done. This is exactly how a heat engine works — the net heat absorbed per cycle appears as net work output.

✓Final answer

Over a complete cycle ΔU = 0, so all the net heat exchanged equals the net work done — a heat engine converts the net heat it absorbs into an equal amount of net work each cycle.

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