Question

A thermodynamicist claims to have developed a heat pump with a COP of 1.7 when operating with thermal energy reservoirs at 27The answer is YES but why?

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Answer #1

Yes, the reason is as follows

Cop for ideal heat pump(I.e. Carnot engine) is given by the relation, cop = Heat extracted/work supplied

=Qh/Win

= Th/(Th-Tl)

here, temperature of hot reservoir is Th= 293K

temperature of cold reservoir is Tl= 273K

Therefore, COP = (293K)/(293K-273K)

= 14.65

,which is maximum cop the given heat pump can have. So, as 1.7 is less than the maximum cop the claim of thermodynamicist claim is right.

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