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A Carnot engine operating between temper...

A Carnot engine operating between temperature `T_1 and T_2` has efficiency 1/6. When `T_2` is lowered by 62K its efficiency increase to 1/3. Then `T_1 and T_2` are, respectively:

A

272 K and 310 K

B

372 K and 330 K

C

330 K and 268 K

D

310 K and 248 K

Text Solution

Verified by Experts

The correct Answer is:
A
`eta=1-(T_2)/(T_1)= (1)/(6) implies (T_2)/(T_1)=1-(1)/(6)= (5)/(6)`
`(1)/(3)=1-((T_2-62))/(T_1)= (T_2-62)/(T_1)=(2)/(3) implies (5(T_2-62))/(6T_2)= (2)/(3) implies T_2=310`
And, `T_1= (6xx310)/(5)=372K`.
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