Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 15: Problem 23

How much heat does a heat pump with a coefficient of performance of 3.0 deliver when supplied with \(1.00 \mathrm{kJ}\) of electricity?

Short Answer

Expert verified
Answer: The heat pump delivers 3.00 kJ of heat when supplied with 1.00 kJ of electricity.

Step by step solution

01

Understand the coefficient of performance of a heat pump formula

The coefficient of performance (COP) for a heat pump can be calculated using this formula: COP = Q_H / W, where Q_H is the heat delivered by the heat pump, and W is the work input (in our case, 1.00 kJ of electricity).
02

Use the given values to find the heat delivered

We are given the coefficient of performance (COP) as 3.0 and the work input (W) as 1.00 kJ. We can now use these values in the formula to find the heat delivered (Q_H): COP = Q_H / W => Q_H = COP * W
03

Calculate the heat delivered

Substitute the given values into the equation: Q_H = (3.0) * (1.00 kJ) Q_H = 3.00 kJ The heat pump delivers 3.00 kJ of heat when supplied with 1.00 kJ of electricity.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A reversible engine with an efficiency of \(30.0 \%\) has $T_{\mathrm{C}}=310.0 \mathrm{K} .\( (a) What is \)T_{\mathrm{H}} ?$ (b) How much heat is exhausted for every \(0.100 \mathrm{kJ}\) of work done?
An ideal gas is in contact with a heat reservoir so that it remains at a constant temperature of \(300.0 \mathrm{K}\). The gas is compressed from a volume of \(24.0 \mathrm{L}\) to a volume of 14.0 L. During the process, the mechanical device pushing the piston to compress the gas is found to expend \(5.00 \mathrm{kJ}\) of energy. How much heat flows between the heat reservoir and the gas and in what direction does the heat flow occur?
If the pressure on a fish increases from 1.1 to 1.2 atm, its swim bladder decreases in volume from \(8.16 \mathrm{mL}\) to \(7.48 \mathrm{mL}\) while the temperature of the air inside remains constant. How much work is done on the air in the bladder?
A system takes in \(550 \mathrm{J}\) of heat while performing \(840 \mathrm{J}\) of work. What is the change in internal energy of the system?
A town is considering using its lake as a source of power. The average temperature difference from the top to the bottom is \(15^{\circ} \mathrm{C},\) and the average surface temperature is \(22^{\circ} \mathrm{C} .\) (a) Assuming that the town can set up a reversible engine using the surface and bottom of the lake as heat reservoirs, what would be its efficiency? (b) If the town needs about \(1.0 \times 10^{8} \mathrm{W}\) of power to be supplied by the lake, how many \(\mathrm{m}^{3}\) of water does the heat engine use per second? (c) The surface area of the lake is $8.0 \times 10^{7} \mathrm{m}^{2}$ and the average incident intensity (over \(24 \mathrm{h})\) of the sunlight is \(200 \mathrm{W} / \mathrm{m}^{2} .\) Can the lake supply enough heat to meet the town's energy needs with this method?
See all solutions

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Read Explanation

Energy Physics

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Modern Physics

Read Explanation

Physics of Motion

Read Explanation

Magnetism

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free