Q.

The efficiency of a Carnot cycle is 1/6. If on reducing the temperature of the sink by 650C, the efficiency becomes 1/3, the initial temperatures between which the cycle is working are

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a

390 K, 325 K

b

780 K, 325 K

c

390 K, 162 K

d

300 K, 100 K

answer is A.

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Detailed Solution

Given  η1=16,η2=13If the temperatures of the source and the sink between which the cycle is working are T1 and T2, then the efficiency in the first case will beη1=1−T2T1=16In the second case η2=1−T2−65T1=13Solving T1 = 390 K and T2 = 325 K.
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The efficiency of a Carnot cycle is 1/6. If on reducing the temperature of the sink by 650C, the efficiency becomes 1/3, the initial temperatures between which the cycle is working are