COP(Heat Pump)=COP(Refrigerator)+1

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COP(Heat Pump)=COP(Refrigerator)+1

Heat PUmp:

Heat pump is a device that transfers heat from a colder area to a hotter area by using mechanical energy, as in a refrigerator. In heat pump how much heat is rejected at higher temperature is an important quantity.

COP(Heat Pump)=COP(Refrigerator)+1- Curio Physics

Coefficient of performance of Heat Pump \displaystyle {{(COP)}_{H}}=\frac{{{Q}_{1}}}{W}

\displaystyle {{Q}_{1}}=W+{{Q}_{2}}   ⇒    \displaystyle W={{Q}_{1}}-{{Q}_{2}}

\displaystyle {{(COP)}_{H}}=\frac{{{Q}_{1}}}{{{Q}_{1}}-{{Q}_{2}}} ……….(1)

Refrigerator:

refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings. In refrigerator heat extracted from lower temperature is an important quantity.

COP(Heat Pump)=COP(Refrigerator)+1 - Curio Physics

Coefficient of performance of Refrigerator \displaystyle {{(COP)}_{R}}=\frac{{{Q}_{2}}}{W}

\displaystyle {{Q}_{1}}=W+{{Q}_{2}}    ⇒    \displaystyle W={{Q}_{1}}-{{Q}_{2}}

\displaystyle {{(COP)}_{R}}=\frac{{{Q}_{2}}}{{{Q}_{1}}-{{Q}_{2}}} ……….(2)

From [ (1) – (2) ] we get :-

\displaystyle {{(COP)}_{H}}-{{(COP)}_{R}}=\frac{{{Q}_{1}}}{{{Q}_{1}}-{{Q}_{2}}}-\frac{{{Q}_{2}}}{{{Q}_{1}}-{{Q}_{2}}}=1

∴ (COP)H = 1 + (COP)R

 

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Manoj Kumar Verma

Hi, I'm Manoj Kumar Verma, a physics faculty having 7 years of teaching experience. I have done B.Tech (E.E.). I am also a YouTuber and Blogger. This blog is dedicated to help students learn the physics concepts easily.

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