   Chapter 12, Problem 48P

Chapter
Section
Textbook Problem

A 65-g ice cube is initially at 0.0°C. (a) Find the change in entropy of the cube after it melts completely at 0.0°C. (b) What is the change in entropy of the environment in this process? Hint: The latent heat of fusion for water is 3.33 × 105 J/kg.

(a)

To determine
The change in entropy of the ice-cube after it melts.

Explanation

Given Info:

The mass of ice-cube is 65g .

Initial temperature of the ice-cube is 0.0°C .

Formula to calculate the change in entropy of the cube is,

ΔSice=QiceT

• Qice is the thermal energy transferred to the ice
• T is the absolute temperature

Since,

Qice=miceLf

• mice is the mass of ice
• Lf is the latent heat of freezing of ice

Thus,

ΔSice=miceLfT

Substitute 65g for mice , 3

(b)

To determine
The change in entropy of the environment in the process.

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