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Question: An ideal heat engine exhausting heat at \(77 ^ { \circ } \mathrm { C }\) is to have a 30% efficiency...

An ideal heat engine exhausting heat at 77∘C77 ^ { \circ } \mathrm { C } is to have a 30% efficiency. It must take heat at

A

B

227∘C227 ^ { \circ } \mathrm { C }

C

327∘C327 ^ { \circ } \mathrm { C }

D

Answer

227∘C227 ^ { \circ } \mathrm { C }

Explanation

Solution

30100=1−350T1\frac { 30 } { 100 } = 1 - \frac { 350 } { T _ { 1 } }

⇒ T1=500 K=227∘CT _ { 1 } = 500 \mathrm {~K} = 227 ^ { \circ } \mathrm { C }