Four Carnot engines operate between reservoir temperature of $(i) 300 K$ and $400 K (i i) 400 K$ and $500 K (i i i) 500 K$ and $600 K (i v) 600 K$ and $800 K$ . Which engines has the greatest thermal efficiency?

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$(i i)$

$(i v)$

$(i)$

$(i i i)$

answer is A, D.

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Detailed Solution

$η_{1} = 1 - \frac{300}{400} = \frac{1}{4}; η_{2} = 1 - \frac{400}{500} = \frac{1}{5} η_{3} = 1 - \frac{500}{600} = \frac{1}{6}; η_{4} = 1 - \frac{600}{800} = \frac{1}{4}$

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