   # Ice (5.0 g) at 0 °C is added to 25 g of liquid water at 20 °C. Which statement best describes the system when thermal equilibrium is reached? (a) Part of the ice has melted; the remaining ice and water are at 0 °C. (b) All of the ice melts; liquid water is at a temperature between 0 °C and 10 °C. (c) All of the ice melts; liquid water is at a temperature between 10 °C and 20 °C (d) Part of the ice melts; the ice-water mixture is at a temperature between 0 ° C and 10 °C ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 5.3, Problem 2RC
Textbook Problem
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## Ice (5.0 g) at 0 °C is added to 25 g of liquid water at 20 °C. Which statement best describes the system when thermal equilibrium is reached? (a) Part of the ice has melted; the remaining ice and water are at 0 °C. (b) All of the ice melts; liquid water is at a temperature between 0 °C and 10 °C. (c) All of the ice melts; liquid water is at a temperature between 10 °C and 20 °C (d) Part of the ice melts; the ice-water mixture is at a temperature between 0 ° C and 10 °C

Interpretation Introduction

Interpretation:

The correct thermal equilibrium should be identified given the four different statements.

Concept Introduction:

Equilibrium mixture: When the concentration of given reactants and products are constant its ratio does not vary it is called equilibrium mixture.

Thermal equilibrium: It is explain that observed higher temperature object which is in constant with a lower temperature object will transfer heat to the lower temperature object.

### Explanation of Solution

Reasons for correct options:

Let us consider the equilibrium equation

Analyzing for statement (c)

Teq=m1C1T1+m2C2T2m1C1+m2C2Givenvaluesm1=5.0g,T1=100C,m2=25g,T2=200CHereC1=C2Teq=m1C1T1+m2C2T2m1+m2Teq=10×0+25×205+25Teq=51030=16.660C

Therefore, the correct option is option (c).

Reasons for incorrect options:

Analyzing for statement (a)

Teq=m1C1T1+m2C2T2m1C1+m2C2Givenvaluesm1=5.0g,T1=00C,m2=25g,T2=200CHereC1=C2Teq=m1C1T1+m2C2T2m1+m2Teq=5.0×0+25×2010+20Teq=50530=16.80C

Analyzing for statement (b)

Teq=m1C1T1+m2C2T2m1C1+m2C2Givenvaluesm1=5

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