In one complete cycle, a heat engine extracts heat $Q_{h}$ from a thermal reservoir, does work W and does not eject any heat into the environment. This heat engine is impossible because its operation violates:

Conservation of energy (

1^{s t}

Law) only

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2^{n d}

Law only

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Both

1^{s t}

Law and

2^{n d}

Law

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Neither

1^{s t}

nor

2^{n d}

law

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Solution

The correct option is B $2^{n d}$ Law only
This would violate the $2^{n d}$ Law only. The entropy of the hot reservoir decreases by $Δ S = \frac{Q}{T}$ . The entropy of the engine did not change (since it returns to its initial state). The entropy of the rest of the universe did not change, since doing pure work does not change entropy.

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In one complete cycle, a heat engine extracts heat Qh from a thermal reservoir, does work W and does not eject any heat into the environment. This heat engine is impossible because its operation violates:

In one complete cycle, a heat engine extracts heat $Q_{h}$ from a thermal reservoir, does work W and does not eject any heat into the environment. This heat engine is impossible because its operation violates: