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(a) What is the best coefficient of performance for a heat

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 41PE Chapter 15

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 41PE

(a) What is the best coefficient of performance for a heat pump that has a hot reservoir temperature of 50.0ºC and a cold reservoir temperature of −20.0ºC ? (b) How much heat transfer occurs into the warm environment if 3.60×107 J of work ( 10.0kW ⋅ h ) is put into it? (c) If the cost of this work input is 10.0 cents/kW ⋅ h , how does its cost compare with the direct heat transfer achieved by burning natural gas at a cost of 85.0 cents per therm. (A therm is a common unit of energy for natural gas and equals 1.055×108 J .)

Step-by-Step Solution:
Step 1 of 3

 Solution  41PE

a)

COPhp  =    Th / Th - Tc

COPhp = (50 OC +273.15 ) K  / (50 OC +273.15 ) K -  (50 OC +273.15 ) K

           =  232.15 K  / 70.0 K

           =  4.16  K

 the coefficient of performance of the heat engine is COPhp   =  4.16  K

b)

Qh  = (4.614)(3.60x107J)

     = (1.661x108J)(1 kal / 4186 J)

     =  3.97x104 kcal

he heat transfer into the warm environment is 3.97x104 kcal

c)

 

 the heat pump is more than three times (1 / 0.29)  as expensive as natural gas.

                   

Step 2 of 3

Chapter 15, Problem 41PE is Solved
Step 3 of 3

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

The full step-by-step solution to problem: 41PE from chapter: 15 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. College Physics was written by and is associated to the ISBN: 9781938168000. This full solution covers the following key subjects: heat, cost, Reservoir, cents, temperature. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. The answer to “(a) What is the best coefficient of performance for a heat pump that has a hot reservoir temperature of 50.0ºC and a cold reservoir temperature of ?20.0ºC ? (b) How much heat transfer occurs into the warm environment if 3.60×107 J of work ( 10.0kW ? h ) is put into it? (c) If the cost of this work input is 10.0 cents/kW ? h , how does its cost compare with the direct heat transfer achieved by burning natural gas at a cost of 85.0 cents per therm. (A therm is a common unit of energy for natural gas and equals 1.055×108 J .)” is broken down into a number of easy to follow steps, and 105 words. Since the solution to 41PE from 15 chapter was answered, more than 347 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: College Physics , edition: 1.

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(a) What is the best coefficient of performance for a heat