Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

. An ice-making machine operates in a Carnot cycle. It takesheat from water at $0.0^{\circ} \mathrm{C}$ and rejects heat to a room at $24.0^{\circ} \mathrm{C}$ .Suppose that 85.0 $\mathrm{kg}$ of water at $0.0^{\circ} \mathrm{C}$ are converted to ice at$0.0^{\circ} \mathrm{C}$ (a) How much heat is rejected to the room? (b) Howmuch energy must be supplied to the device?

(a) $Q_{H}=-3.09 \times 10^{4} \mathrm{kJ}$(b) The energy must be supplied is $2.50 \times 10^{3} \mathrm{kJ}$

Physics 101 Mechanics

Chapter 16

The Second Law of Thermodynamics

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

Cornell University

Simon Fraser University

Hope College

University of Winnipeg

Lectures

03:15

In physics, the second law of thermodynamics states that the total entropy of an isolated system can only increase over time. The total entropy of a system can never decrease, and the entropy of a system approaches a constant value as the temperature approaches zero.

03:25

The First Law of Thermodynamics is an expression of the principle of conservation of energy. The law states that the change in the internal energy of a closed system is equal to the amount of heat energy added to the system, minus the work done by the system on its surroundings. The total energy of a system can be subdivided and classified in various ways.

03:09

An ice-making machine oper…

08:48

04:52

20.16. An ice-making machi…

04:55

03:53

Ice-making machine An ice-…

04:32

02:10

An ideal refrigerator util…

01:45

A heat engine operates in …

04:10

A freezer with a coefficie…

08:16

A freezer has a coefficien…

and ice making machine operates in a car. No cycle. It hates heat from water at zero degree C and reject to a room at 24 degrees C. Suppose that 85 kilograms of water at zero degree CR converted the ice a crazy or greasy. You want two things, how much he is rejected to the room and how much energy must be supplied to the device. So we have our givens, and we have to remember that we need to convert our temperatures into Calvin. And then we had the latent heat of fusion for water, and so we know that the energy needed two convert the water into ice is the mass of the water hands, a latent heat effusion, and that is 202.84 times 10 to the fourth Killa Jules. Their performance coefficient we can get because we know the temperatures of both reservoirs and again. And Calvin. So we have. The temperature of the cold is 273.16 Calvin. The difference in temperatures in Calvin is the same as the difference in degrees Celsius, since there's just a additive constant to do the conversion. So that is 24 Calvin, and we get a performance coefficient of 11.38 Knowing the performance go efficient, we could get the work that is needed two, um to do, to perform, to change the water to ice. So the heat taken from the ice he taken from the water into the system is the energy needed to convert it to ice. And so that is or minus the energy. So that is minus 2.84 times 10 to the fourth Killa jewels. So that's the energy going into the system from the ice. Their work needed to do. This is then the minus of the heat absorbed into the system provided by the performance coefficient. And we get 2.5 times tended the third killer, Jules. Now the heat he had expelled from a system into the room. It's just the negative of the heat taken in from the system. Oh, Oh, it's just the heat taken in from the system. If we're using, we're gonna use a negative sign for that. That needs to be positive. So the heat taken in from the system into the system and divided by the temperature of the hot desert times the temperature of the hot reservoir provided by the temperature of the cold reservoir. And so the heat taken in by the system is minus, UM, 2.84 times 10 for killing tools and then our temperature ratio. Again, we need to remember the used Calvin. Here is 297.16 divided by 273.16 So we get that the heat transferred out of the system and into the room. Air room atmosphere is minus 3.9 times 10 to the fourth killer, Jules.

View More Answers From This Book

Find Another Textbook

02:41

$\bullet$ Shear forces are applied to a rectangular solid. The same forces a…

01:18

Global positioning satellites (GPS) can be used to determine positions with …

02:01

(III) You are in a hot air balloon, 200 $\mathrm{m}$ above the flat Texas pl…

01:05

What is the dc impedance of the electrode, assuming that it behaves as an id…

01:52

$\bullet$$\bullet$ Friction in an elevator. You are riding in an elevator on…

03:01

$\bullet$ For the circuit in Figure $22.23, R=200 \Omega, L=0.800 \mathrm{H}…

03:29

(II) Estimate how long it would take one person to mow a football ficld usin…

01:48

What gauge pressure must a pump produce to pump water from the bottom of the…

04:01

$\bullet$ A Carnot freezer that runs on electricity removes heatfrom the…

06:08

(III) The rubber worn from tires mostly enters the atmosphere as particulate…