MCQ
The efficiency of an ideal heat engine working between the freezing point and boiling point of water, is ........ $\%$
  • $26.8$
  • B
    $20 $
  • C
    $12.5$
  • D
    $6.25$

Answer

Correct option: A.
$26.8$
a
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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