   # The samples of water listed below are mixed. After thermal equilibrium is reached, which mixture has the lowest temperature? (a) 10 g of water at 20 °C + 10 g of water at 30 °C (b) 10 g of water at 20 °C + 20 g of water at 30 °C (c) 20 g of water at 20 °C + 10 g of water at 30 °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 5.2, Problem 2RC
Textbook Problem
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## The samples of water listed below are mixed. After thermal equilibrium is reached, which mixture has the lowest temperature? (a) 10 g of water at 20 °C + 10 g of water at 30 °C (b) 10 g of water at 20 °C + 20 g of water at 30 °C (c) 20 g of water at 20 °C + 10 g of water at 30 °C

Interpretation Introduction

Interpretation:

The lowest temperature should be identified given the three different equilibrium mixtures.

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

Let us consider the equilibrium temperature

Statement (c)

Teq=m1C1T1+m2C2T2m1C1+m2C2Givenvaluesm1=20g,T1=200C,m2=10g,T2=300CHereC1=C2Teq=m1C1T1+m2C2T2m1+m2Teq=20×20+10×3010+20Teq=400+30030=23.30C

Therefore, the correct option is option (c).

Reasons for incorrect options:

Analyzing for statement (a)

Teq=m1C1T1+m2C2T2m1C1+m2C2Herem1=

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