Chapter 21: Q. 69 (page 598)

$100 mL$ of water at $15 ° C$ 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 $- 15 ° C$ ?

Short Answer

Expert verified

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

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:

$Q = m c Δ T$

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

The heat energy removed from the water

The mass of the water sample is :

$m = (100 \times 10^{- 3} L) (\frac{10^{- 3} m^{3}}{1 L}) (\frac{1000 kg}{m^{3}})$

$= 0.100 kg$

The heat energy extracted from water is known as:

$Q = (0.100 kg) (4186 J / kg \cdot K) (15 K) + (0.100 kg) (3.33 \times 10^{5} J / kg)$

$+ (0.100 kg) (2090 J / kg \cdot K) (15 K)$

$= 42714 J$

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:

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

$= 42714 J + 10679 J$

$= 5.3 \times 10^{4} J$

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

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$100 mL$ of water at $15 ° C$ 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 $- 15 ° C$ ?

Short Answer

Step by step solution

Step 1:The heat energy of the certain mass

The heat energy removed from the water

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100mLof water at 15°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°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

Kinematics Physics

Further Mechanics and Thermal Physics

Wave Optics

Famous Physicists

Turning Points in Physics

Electrostatics

Study anywhere. Anytime. Across all devices.

$100 mL$ of water at $15 ° C$ 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 $- 15 ° C$ ?