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A Carnot engine whose low temperature re...

A Carnot engine whose low temperature reservoir is at `7^(@)C` has an efficiency of `50%`. It is desired to increase the efficiency to `70%` By low many degrees should the temperature of the high temperature reservoir be increased

A

840 K

B

280 K

C

560 K

D

380 K

Text Solution

Verified by Experts

The correct Answer is:
D
`eta=(T_(1)-T_2)/(T_(1)) implies 1/2 =(T_1-(273+7))/(T_(1)) implies T_1 = 560K`
Now, `eta.=(T_1-T_2)/(T_1) implies 0.7 =(T_1-(273+7))/(T_1)`
`implies T_1 =933 K`
Increase is temperature
`Delta T`=933-560=373K=380K (approx.).
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