   Chapter 10, Problem 17ALQ ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
76 views

# For each of the following situations a−c. use the following choices i−iii to complete the statement “The final temperature of the water should be”ol type='a'>Between 50 °C and 90 °C50°CBetween 10 °C and 50 °CA 100.0-g sample of water at 90 °C is added to a 100.0-g sample of water at 10 °C.A 100.0-g sample of water at 90 °C is added to a 500.0-g sample of water at 10 °C.You have a Styrofoam cup with 50.0 g of water at 10 °C. You add a 50.0-g iron ball al 90 °C to the water.

Interpretation Introduction

(a)

Interpretation:

For the given situations, the final temperature of the water should be determined from the given choices.

Concept Introduction:

Energy exchanged (Q) to change the temperature by T0 C of m gram of sample is given by

Q = s ×m ×ΔT

Here, s is specific heat capacity, m is mass of the sample in grams, and ΔT is the change in temperature. It can also be written as

m1. ΔT1= m2. ΔT2.

Explanation

Here ΔT1 = 90-Tf, ΔT2 = 10-Tf are the heat changes for hot and cold water respectively.

Tf is the final temperature, m1 = 100.0 g, and m2 = 100.0 gare the mass of hot and cold water respectively. Therefore,

Tf =

Interpretation Introduction

(b)

Interpretation:

For the given situations, the final temperature of the water should be determined from the given choices.

Concept Introduction:

Energy exchanged (Q) to change the temperature by T0 C of m gram of sample is given by

Q = s ×m ×ΔT

Here, s is specific heat capacity, m is mass of the sample in grams, and ΔT is the change in temperature. It can also be written as

m1. ΔT1= m2. ΔT2.

Interpretation Introduction

(c)

Interpretation:

For the given situations, the final temperature of the water should be determined from the given choices.

Concept Introduction:

Energy exchanged (Q) to change the temperature by T0 C of m gram of sample is given by

Q = s ×m ×ΔT

Here, s is specific heat capacity, m is mass of the sample in grams, and ΔT is the change in temperature. It can also be written as

m1. ΔT1= m2. ΔT2.

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