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JEE Mains · Physics · STD 11 - Thermodynamics
  • JEE Mains 2018, 2022
  • Medium
  • MCQ

The efficiency of an ideal heat engine working between the freezing point and boiling point of water, is ........ \(\%\)

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Answer & Solution

Correct Answer

(A) \(26.8\)

Step-by-step Solution

Detailed explanation

Efficiency of an ideal heat engine,

\(\eta  = \left( {1 - \frac{{{T_2}}}{{{T_1}}}} \right)\)

Freezing point of water \( = {0^ \circ }C = 273\,K\)

Boiling point of water\( = {100^ \circ }C = \left( {100 + 273} \right)K\)

\( = 373\,K\)

\(T_2\) Sink temperature\(=273 K\)

\(T_1\) Source temperature \(=373 K\)

\(\% \eta  = \left( {1 - \frac{{{T_2}}}{{{T_1}}}} \right) \times 100 = \left( {1 - \frac{{273}}{{373}}} \right) \times 100\)

\( = \left( {\frac{{100}}{{373}}} \right) \times 100 = 26.8\% \)

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