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A carnot engine has efficiency 1//5 . Ef...

A carnot engine has efficiency `1//5` . Efficiency becomes `1//3` when temperature of sink is decreased by 50 K What is the temperature of sink ?

A

325 K

B

375 K

C

300 K

D

350 K

Text Solution

Verified by Experts

The correct Answer is:
C
`eta=1-(T_2)/(T_1) implies 1/5=1-(T_2)/(T_1)" "`…(i)
Now, `1/3=1-((T_2-50))/(T_1)" "`…(ii)
(i) `implies 1/5=1-(T_2)/(T_1) implies (T_2)/(T_1)=1-1/5=4/5`
`implies T_(1)=5/4 T_2`
(ii) `implies 1/3=1-((T_2-50))/(5/4 T_2) implies T_2=300K`.
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