Q. 69 聽100聽mL聽of water at 15掳C聽is... [FREE SOLUTION]

Chapter 21: Q. 69 (page 598)

$100 mL$ of water at $15 掳 C$ is placed in the freezer compartment of a refrigerator with a coefficient of performance of $4.0$ . How much heat energy is exhausted into the room as the water is changed to ice at $- 15 掳 C$ ?

Short Answer

Expert verified

As a result, the heat emitted into the room is $= 5.3 脳 10^{4} J$ .

Step by step solution

Step 1:The heat energy of the certain mass

The heat energy of a specific mass with a specific heat capacity that is subjected to a temperature difference is given as:

$Q = m c 螖 T$

Where m is the body's mass and C is its specific heat capacity and $螖 T$ is the temperature difference.

The heat energy removed from the water

The mass of the water sample is :

$m = (100 脳 10^{鈭� 3} L) (\frac{10^{鈭� 3} m^{3}}{1 L}) (\frac{1000 kg}{m^{3}})$

$= 0.100 kg$

The heat energy extracted from water is known as:

$Q = (0.100 kg) (4186 J / kg 鈰� K) (15 K) + (0.100 kg) (3.33 脳 10^{5} J / kg)$

$+ (0.100 kg) (2090 J / kg 鈰� K) (15 K)$

$= 42714 J$

The performance metric is:

$K = \frac{Q_{C}}{W_{in}}$

As a result, the work input is

$W_{ia} = \frac{42714 J}{4, 0}$

The heat that is emitted into the room is:

$Q_{u} = Q_{c} + W_{in}$

$= 42714 J + 10679 J$

$= 5.3 脳 10^{4} J$

As a result, the amount of heat emitted into the room is reduced $5.3 脳 10^{4} J$ .

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

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

Get started for free

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

$100 mL$ of water at $15 掳 C$ is placed in the freezer compartment of a refrigerator with a coefficient of performance of $4.0$ . How much heat energy is exhausted into the room as the water is changed to ice at $- 15 掳 C$ ?

Short Answer

Step by step solution

Step 1:The heat energy of the certain mass

The heat energy removed from the water

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Turning Points in Physics

Mechanics and Materials

Physical Quantities And Units

Famous Physicists

Classical Mechanics

Study anywhere. Anytime. Across all devices.

91影视

100mLof water at 15掳Cis placed in the freezer compartment of a refrigerator with a coefficient of performance of 4.0. How much heat energy is exhausted into the room as the water is changed to ice at -15掳C?

Short Answer

Step by step solution

Step 1:The heat energy of the certain mass

The heat energy removed from the water

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Turning Points in Physics

Mechanics and Materials

Physical Quantities And Units

Famous Physicists

Classical Mechanics

Study anywhere. Anytime. Across all devices.

$100 mL$ of water at $15 掳 C$ is placed in the freezer compartment of a refrigerator with a coefficient of performance of $4.0$ . How much heat energy is exhausted into the room as the water is changed to ice at $- 15 掳 C$ ?