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An ideal Carnot's engine whose efficienc...

An ideal Carnot's engine whose efficiency 40% receives heat of 500K. If the efficiency is to be 50% then the temperature of sink will be

A

`900 K`

B

`600 K`

C

`400 K`

D

`700 K`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `T_2` be the exhaust temperature.
In the first case, `T_1 = 500 K, eta = 40 % = 0A" "eta = (T_1 - T_2)/T_1 rArr 0.4 = (500 - T_2)/500 rArr T_2 = 300 K`
Now, in second case, `T_2 = 300 K, eta = 50 % = 0.5, " "eta = (T_1 - T_2)/T_1 rArr 0.5 =(T_1 - 300)/T_1 rArr T_1 = 600 K`
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