Classify engines, pumps, and refrigerators as “possible” and “impossible" due to the first law of thermodynamics, and "impossible" due to the second law of thermodynamics. Create (and classify) one of each kind operating between a hot reservoir at 600 K and a cold reservoir at 16.370◦C. Each one should produce 1000 J of useful work.

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2022-08-15

Classify engines, pumps, and refrigerators as “possible” and “impossible" due to the first law of thermodynamics, and "impossible" due to the second law of thermodynamics.
Create (and classify) one of each kind operating between a hot reservoir at 600 K and a cold reservoir at 16.370 C. Each one should produce 1000 J of useful work.

Answer & Explanation

Avah Leonard

Avah Leonard

Beginner2022-08-16Added 21 answers

Given data:
The useful work is: W = 1000   J
The hot reservoir temperature is: T H = 600   K
The cold reservoir temperature is: T L = 16.370 + 273   K = 289.37   K
The heat from hor reservoir is: Q H
The heat from the cold reservoir is: Q L
The first law of thermodynamics states that energy comes in the system is equal to the energy going out of the system. There is no loss in energy in the system. Thus, according to the first law of thermodynamics, all these devices are possible.
The second law of thermodynamics from Clausius inequality is,
The device is impossible if, d Q T > 0
(1)Check Heat engine device is possible or impossible,
Equating the Carnot cycle efficiency with the given cycle,
W Q H = T H T L T H 1000 q H = 600 289.37 600 Q H = 1931.55   J
Calculate the Q L
W = Q H Q L 1000 = 1931.55 Q L Q L = 931.55   J
Check Clausius inequality,
D Q T = Q H T H Q L T L = 1931.55 600 931.55 289.37 = 0.00001511 0
Thus, the heat engine is ideally possible.

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