A) 1/2
B) ¼
C) 3/4
D) 1
Correct Answer: A
Solution :
Carnot engine is a reversible engine operating between two temperature\[{{T}_{1}}\](source) and\[{{T}_{2}}\] (sink). The Carnot cycle consists of two isothermal process connected by two adiabatic processes. The efficiency of Carnot engine is \[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}\] Given, \[{{T}_{1}}=727{}^\circ C=727+273=1000\text{ }K\] \[{{T}_{2}}=227{}^\circ C=227+273=500\text{ }K\] \[\therefore \] \[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}\] \[\eta =1-\frac{500}{1000}\] \[\eta =1-\frac{1}{2}=\frac{1}{2}\]
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