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  • An engine operating between the boiling and freezing points of water will have A. efficiency more than 27% B. efficiency less than the efficiency of a Carnot engine operating be

An engine operating between the boiling and freezing points of water will have

A. efficiency more than 27%

B. efficiency less than the efficiency of a Carnot engine operating between the same two temperatures.

C. efficiency equal to 27%

D. efficiency less than 27%

Choose the correct answer from the options given below :

Option: 1

B and C only


Option: 2

B and D only


Option: 3

B, C and D only


Option: 4

A and b only


Answers (1)

best_answer

Engine is operating between FP and BP of water.

We asked to find efficiency :

$$ \begin{aligned} & \mathrm{T}_1=100^{\circ} \mathrm{C} \quad \Rightarrow 100+273=373 \mathrm{~K} \\ & \mathrm{~T}_2=0^{\circ} \mathrm{C} \quad \Rightarrow 0+273=273 \mathrm{~K} \end{aligned}

We know
   \begin{aligned} \eta & =1-\frac{T_2}{T_1} \\ \eta & =1-\frac{273}{373} \\ \eta & =\frac{373-273}{373}=\frac{100}{373} \\ \eta & =0.268 \end{aligned}

and
\eta \%=0.268 \times 100\\ $$ \eta \%=26.8 \%

Posted by

Gaurav

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