   Chapter 12, Problem 49P

Chapter
Section
Textbook Problem

A freezer is used to freeze 1.0 L of water completely into ice. The water and the freezer remain at a constant temperature of T = 0°C. Determine (a) the change in the entropy of the water and (b) the change in the entropy of the freezer.

(a)

To determine
The change in entropy of the water.

Explanation

Section1:

To determine: To determine the energy transferred from the water by heat.

Answer: The energy transferred from the water by heat is 3.3×105J .

Explanation:

Given Info:

The mass of water is 1L .

The temperature of the water is 0.0°C .

Formula to calculate the energy transferred from the water by heat,

Q=mwaterLf

• mwater is the mass of water
• Lf is the latent heat of fusion of water

Here,

mwater=ρV

Thus,

Q=(ρV)Lf

Substitute 103kg/m3 for ρ , 1.0×103m3 for V , 3.33×103J/kg for Lf to find the energy transferred from the water,

Q=[(103kg/m3)(1.0×103m3)](3.33×103J/kg)=3

(b)

To determine
The change in entropy of the freezer.

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