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The thermal efficiency of a Carnot heat engine is 30%. If the engine is reversed in operation to work as a heat pump with operating condition sun changed, then what will be the COP for heat pump?
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The thermal efficiency of a Carnot heat engine is 30%. If the engine i...
Calculation of COP for Heat Pump
Calculation of Carnot Efficiency
Given, the thermal efficiency of a Carnot heat engine is 30%. The Carnot efficiency is given by:
ηCarnot = (T1 - T2) / T1
Where T1 is the temperature of the hot reservoir and T2 is the temperature of the cold reservoir.
Let us assume that T1 = 100°C and T2 = 20°C
Substituting the values, we get:
0.3 = (100 - 20) / 100
Calculation of COP for Heat Pump
Now, the engine is reversed to work as a heat pump. The coefficient of performance (COP) of a heat pump is given by:
COP = Qh / Winput
Where Qh is the heat extracted from the cold reservoir and Winput is the work input to the system.
Since the engine is reversed, the work input becomes the work output and the heat extracted from the cold reservoir becomes the heat delivered to the hot reservoir.
Therefore, the COP of the heat pump is given by:
COP = Qh / Qc
Where Qc is the heat rejected to the cold reservoir.
Let us assume that the heat delivered to the hot reservoir is 100 J. Since the Carnot efficiency is 30%, the heat rejected to the cold reservoir is:
Qc = Qh - 0.3Qh = 0.7Qh
Substituting the values, we get:
COP = 100 / 70 = 1.43
Conclusion
Therefore, the COP for heat pump is 1.43.
Community Answer
The thermal efficiency of a Carnot heat engine is 30%. If the engine i...
(N)he=1-(Q2/Q1)
Q2/Q1=0.70
(N)hp=1/(1-Q2/Q1)=1/(1-0.70)=1/0.33=3.33
So (N)hp= 3.33
Q2/Q1=0.70
(N)hp=1/(1-Q2/Q1)=1/(1-0.70)=1/0.33=3.33
So (N)hp= 3.33
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The thermal efficiency of a Carnot heat engine is 30%. If the engine is reversed in operation to work as a heat pump with operating condition sun changed, then what will be the COP for heat pump?
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The thermal efficiency of a Carnot heat engine is 30%. If the engine is reversed in operation to work as a heat pump with operating condition sun changed, then what will be the COP for heat pump? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The thermal efficiency of a Carnot heat engine is 30%. If the engine is reversed in operation to work as a heat pump with operating condition sun changed, then what will be the COP for heat pump? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The thermal efficiency of a Carnot heat engine is 30%. If the engine is reversed in operation to work as a heat pump with operating condition sun changed, then what will be the COP for heat pump?.
The thermal efficiency of a Carnot heat engine is 30%. If the engine is reversed in operation to work as a heat pump with operating condition sun changed, then what will be the COP for heat pump? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The thermal efficiency of a Carnot heat engine is 30%. If the engine is reversed in operation to work as a heat pump with operating condition sun changed, then what will be the COP for heat pump? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The thermal efficiency of a Carnot heat engine is 30%. If the engine is reversed in operation to work as a heat pump with operating condition sun changed, then what will be the COP for heat pump?.
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