Question

the highest theoretical efficiency of a certain engine is 30% if the engine uses the atmosphere which has a temperature of 300k as its cold reservoir what is temperature of its hot reservoir

Answer 1

The temperature of its hot reservoir would be = 210k

Calculation of reservoir temperature

The highest theoretical engine efficiency (η)= 30% =0.3

The temperature of the engine cold reservoir (T1)= 300k

Therefore the temperature of the engine hot reservoir (T2) = ?

Using this formula:

η=1- T2/T1

Make T2 the subject formula:

T2= T1 (1 - η)

T2 = 300 ( 1-0.3)

T2 = 300 × 0.7

T2 = 210k

Therefore, the temperature of its hot reservoir would be = 210K.

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