Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q14E (page 677)

Question:An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0°C and rejects heat to a room at 24.0°C. Suppose that 85.0 kg of water at 0.0°C are converted to ice at 0.0°C. (a) How much heat is discharged into the room? (b) How much energy must be supplied to the device?

Short Answer

Expert verified

The heat discharged into room is \(2.84 \times {10^7}\;{\rm{J}}\).

Step by step solution

01

Identification of given data

The temperature ice and water is\({T_{iw}} = 0\;^\circ {\rm{C}}\)

The temperature of room is\({T_r} = 24\;^\circ {\rm{C}}\)

The mass of water is \(m = 85\;{\rm{kg}}\)

02

Conceptual Explanation

The het discharged to room is equal to the latent heat of the water to convert the ice into water.

03

Determination of heat discharged into room

The heat discharged into room is given as:

\({Q_r} = mL\)

Here,\(L\)is the latent heat of the ice and its value is\(3.34 \times {10^5}\;{\rm{J}}/{\rm{kg}}\)

Substitute all the values in the above equation.

\(\begin{array}{l}{Q_r} = \left( {85\;{\rm{kg}}} \right)\left( {3.34 \times {{10}^5}\;{\rm{J}}/{\rm{kg}}} \right)\\{Q_r} = 2.84 \times {10^7}\;{\rm{J}}\end{array}\)

Therefore, the heat discharged into room is \(2.84 \times {10^7}\;{\rm{J}}\).

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

Is it a violation of the second law of thermodynamics to convert mechanical energy completely into heat? To convert heat completely into work? Explain your answers.

It is not correct to say that a body contains a certain amount of heat, yet a body can transfer heat to another body. How can a body give away something it does not have in the first place?

Why is it sometimes possible to loosen caps on screw-top bottles by dipping the capped bottle briefly into hot water?

Why must a room air conditioner be placed in a window rather than just set on the floor and plugged in? Why can a refrigerator be set on the floor and plugged in?

Household refrigerators have arrays or coils of tubing on the outside, usually at the back or bottom. When the refrigerator is running, the tubing becomes quite hot. Where does the heat come from?
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Energy Physics

Read Explanation

Electricity and Magnetism

Read Explanation

Torque and Rotational Motion

Read Explanation

Electricity

Read Explanation

Wave Optics

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