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 ........ \(\%\)
Pick an option to check your answer.
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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