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mel-nik [20]
3 years ago
9

A carnot engine operates between temperature levels of 600k and 300k, It drives a carnot refrigerator which provides cooling at

250k and discards heat at 300k. Determine a numerical value for the ratio of the heat extracted by the refrigerator (cooling load) to the heat delivered to the engine (heating load).
Engineering
1 answer:
wel3 years ago
4 0

Answer:

the ratio of the heat extracted by the refrigerator (cooling load) to the heat delivered to the engine (heating load) is 2.5

Explanation:

Efficiency is defined as the ratio of desired output / input

Efficiency of carnot engine =

n_C = \frac{W}{Q_H} \\= 1 - \frac{300}{600} \\= 0.5

so,

W = 0.5Q_H\\= \frac{250}{300 - 250} \\= 5

in this case

W = 0.2Q_L

work is the same because we use work from carnot engine to power the refrigerator

Hence,

0.2Q_L = 0.5Q_H\\\frac{Q_L}{Q_H} = \frac{0.5}{0.2} \\= 2.5

the ratio of the heat extracted by the refrigerator (cooling load) to the heat delivered to the engine (heating load) is 2.5

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