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At what cold-reservoir temperature inC∘would a Carnot engine with a hot-reservoir temperature of 427°Chave an efficiency of 60%?

Short Answer

Expert verified

Cold-reservoir temperature for carnot engine is7C∘.

Step by step solution

01

Formula for efficiency in  Carnot engine

The efficiency of a Carnot heat engine is expressed as a function of the temperatures it operates in between,

η=1-TcTh=Th-TcTh

To calculate temperature of the cold reservoir by using,

Th-Tc=Thη⇒Tc=Th(1-η)

02

Calculation for Temperature in carnot engine

Temperature of hot reservoir in Kelvin will be,

Th=427+273=700K

Use the equation above to calculate temperature of the cold reservoir in Kelvin .

Tc=700·(1-0.6)=280K

Temperature in degrees Celsius,

Tc=280-273=7°C

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