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The efficiency of a carnot engine is 50%. The temperature of the hot reservoir is kept constant. By what amount should the temperature of the cold reservoir be decreased so that efficiency becomes 60%.

a
1K
b
2K
c
30K
d
83K

detailed solution

Correct option is A

0.5 = 1 – TC/TH.And 0.6 = 1 – (TC + x)/TH.From the first equation we get: 5/10 = TC/TH.From the second equation we get: 4/10 = (TC + x)/TH.Now, we see that the value of x must be 1K.

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