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Lelechka [254]
2 years ago
12

A steam engine (assume a Carnot engine ) has an efficiency of 50.8%. If the waste heat has a temperature of 72.4 ◦C, what is the

temperature of the boiler? Answer in units of ◦C.
Chemistry
1 answer:
Inessa05 [86]2 years ago
3 0

Answer:

The temperature of the boiler is approximately 147.1 °C

Explanation:

A Carnot engine is an ideal engine that has the highest efficiency among all the engines because the second law of thermodynamics.That efficiency \eta  is:

\eta=1-\frac{T_{c}}{T_{h}}

with T_{h} the temperature of the hot reservoir (the boiler temperature) and T_{c} the temperature of the cold reservoir (the steam temperature). Solving for T_{h}:

T_{h}=\frac{-T_{c}}{\eta-1}=\frac{-72.4}{0.508-1}\approx147.1\,C

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