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Question

A Carnot engine has same efficiency between (i) 100K and 500K and (ii) Tk and 900K. the value of T is

A
360K
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B
270K
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C
180K
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D
90K
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Solution

The correct option is C 180K
The efficiency of the cycle is given as η=1T2T1. Here T1 is the temperature of the source and T2 is the temperature of the sink. . Thus we get η=1100500=1Tk900
or, Tk=100500×900=180K

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