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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