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(A) The maximum theoretical efficiency of a heat engine is given by the Carnot efficiency formula: $\eta_{max} = 1 - \frac{T_L}{T_H}$.Here,the source

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This is impossible.

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(A) The maximum theoretical efficiency of a heat engine is given by the Carnot efficiency formula: $\eta_{max} = 1 - \frac{T_L}{T_H}$.Here,the source temperature $T_H = 127^{\circ}C = 127 + 273 = 400 	ext{ K}$.The sink temperature $T_L = 27^{\circ}C = 27 + 273 = 300 	ext{ K}$.Substituting these values: $\eta_{max} = 1 - \frac{300}{400} = 1 - 0.75 = 0.25$ or $25\%$.Since the scientist claims an efficiency of $26\%$,which is greater than the maximum possible Carnot efficiency of $25\%$,this claim violates the second law of thermodynamics.Therefore,this is impossible.

$A$ scientist claims that their heat engine has an efficiency of $26\%$ when operating between a source temperature of $127^{\circ}C$ and a sink temperature of $27^{\circ}C$. This implies that:

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