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In a very mild winter climate, a heat pump has heat transfer from an environment at $5.00^{\circ} \mathrm{C}$ to one at $35.0^{\circ} \mathrm{C}$ What is the best possible coefficient of performance for these temperatures? Explicitly show how you follow the steps in the Problem-Solving Strategies for Thermodynamics.

$C O P_{\mathrm{hp}}=10.27$

Physics 101 Mechanics

Chapter 15

Thermodynamics

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Rutgers, The State University of New Jersey

Hope College

University of Sheffield

University of Winnipeg

Lectures

03:15

In physics, the second law…

03:25

The First Law of Thermodyn…

03:09

What is the coefficient of…

01:41

Suppose you have an ideal …

04:54

(a) What is the best coeff…

04:30

A Carnot heat pump is used…

00:58

At a few places where the …

01:22

What is the maximum possib…

02:06

What is the best coefficie…

03:33

For a more realistic estim…

01:30

The coefficient of perform…

01:29

A heat pump is absorbing h…

02:33

01:31

(a) What is the coefficien…

02:54

(a) On a winter day, a cer…

00:51

(I) What is the maximum ef…

01:07

A heat engine uses the war…

(a) How much food energy w…

02:59

03:01

Home thermodynamic pump A …

02:37

(II) ($a$) What is the coe…

03:14

this is problem 40 Chapter 15 on were asked to find the best possible coefficient of performance for heat pump. And so we have the formula here on so we can go ahead and substitute our values. And to find this value on DSO, this is gonna be won over the efficiency, which is gonna be equal to th over th minus t c. Um and so our c o p hp eyes gonna be equal to 35 degrees Celsius plus 273 that converts it into Kelvin over 35 degrees C plus 273 huh, which also converts it into Kellman. And then you subtract five degree Celsius plus 273 which converts it. And then we can go ahead and get 300 eight on the top over 30 which is gonna be equal to 10.27 And this is the best possible coefficient of performance for this heat

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