Chemistry for Today: General, Organic, and Biochemistry
Chemistry for Today: General, Organic, and Biochemistry
9th Edition
ISBN: 9781305960060
Author: Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Publisher: Cengage Learning
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Chapter 7, Problem 7.35E

Calculate the concentration in % ( v / v ) of the following solutions:

a. 250 . mL of solution contains 15 .0 mL of acetone.

b. 250 . mL of solution contains 15 .0 mL of any soluble liquid solute.

c. 1 .0 quart of acetic acid is put into a 5- gallon container, and enough water is added to fill the container.

d.A solution of acetone and water is separated by distillation. A 300 .-mL sample gives 109 mL of acetone.

Expert Solution
Check Mark
Interpretation Introduction

(a)

Interpretation:

The concentration in %(v/v) of 250.mL of solution that contains 15.0mL of acetone is to be calculated.

Concept introduction:

A solution is prepared by mixing proper amount of solute and solvent. The concentration of solution when measured on the basis of solution volume is expressed in terms of percent weight by volume (%w/v), percent volume by volume (%v/v) and molarity (M). When concentration is measured on the basis of mass of solvent, it is expressed in terms of percent weight by weight (%w/w).

Answer to Problem 7.35E

The concentration in %(v/v) of 250.mL of solution that contains 15.0mL of acetone is 6.0%v/v.

Explanation of Solution

The formula to calculate concentration in %(v/v) is given below as,

%(v/v)=SolutevolumeSolutionvolume×100

The volume of acetone and volume of solution is 15.0mL and 250.mL respectively.

Substitute the value of volume of acetone and volume of solution in the above equation as follows.

%(v/v)=volumeofacetoneSolutionvolume×100=15mL250mL×100=6.0%v/v

Thus, the concentration in %(v/v) of 250.mL of solution that contains 15.0mL of acetone is 6.0%v/v.

Conclusion

The concentration in %(v/v) of 200.mL of solution containing 15mL of alcohol is 6.0%v/v.

Expert Solution
Check Mark
Interpretation Introduction

(b)

Interpretation:

The concentration in %(v/v) of 250.mL of solution that contains 15.0mL of any soluble liquid solute is to be calculated.

Concept introduction:

A solution is prepared by mixing proper amount of solute and solvent. The concentration of solution when measured on the basis of solution volume, is expressed in terms of percent weight by volume (%w/v), percent volume by volume (%v/v) and molarity (M). When concentration is measured on the basis of mass of solvent, it is expressed in terms of percent weight by weight (%w/w).

Answer to Problem 7.35E

The concentration in %(v/v) of 250.mL of solution that contains 15.0mL of any soluble liquid solute is 6.0%v/v.

Explanation of Solution

The formula to calculate concentration in %(v/v) is given below as,

%(v/v)=SolutevolumeSolutionvolume×100

The volume of solute and volume of solution is 15.0mL and 250.mL respectively.

Substitute the value of volume of solute and volume of solution in the above equation as follows.

%(v/v)=volumeofsoluteSolutionvolume×100=15mL250mL×100=6.0%v/v

Thus, the concentration in %(v/v) of 250.mL of solution that contains 15.0mL of any soluble liquid solute is 6.0%v/v.

Conclusion

The concentration in %(v/v) of 250.mL of solution that contains 15.0mL of any soluble liquid solute is 6.0%v/v.

Expert Solution
Check Mark
Interpretation Introduction

(c)

Interpretation:

The concentration in %(v/v) of 1.0 quart of acetic acid that is put into a 5- gallon container is to be calculated.

Concept introduction:

A solution is prepared by mixing proper amount of solute and solvent. The concentration of solution when measured on the basis of solution volume, is expressed in terms of percent weight by volume (%w/v), percent volume by volume (%v/v) and molarity (M). When concentration is measured on the basis of mass of solvent, it is expressed in terms of percent weight by weight (%w/w).

Answer to Problem 7.35E

The concentration in %(v/v) of 1.0 quart of acetic acid that is put into a 5- gallon container is 5%(v/v).

Explanation of Solution

The formula to calculate concentration in %(v/v) is given below as,

%(v/v)=SolutevolumeSolutionvolume×100

The 1- gallon container contains 4.0 quart. Thus, the 5- gallon container contains 4×5=20 quart.

The volume of solute and volume of solution is 1.0 quart and 20.0 quart respectively.

Substitute the value of volume of solute and volume of solution in the above equation as follows.

%(v/v)=120×100=5%

Thus, the concentration in %(v/v) of 1.0 quart of acetic acid is put into a 5- gallon container is 5%(v/v).

Conclusion

The concentration in %(v/v) of 1.0 quart of acetic acid is put into a 5- gallon container is 5%(v/v).

Expert Solution
Check Mark
Interpretation Introduction

(d)

Interpretation:

The concentration in %(v/v) of a 300.-mL sample giving 109mL of acetone on distillation is to be calculated.

Concept introduction:

A solution is prepared by mixing proper amount of solute and solvent. The concentration of solution when measured on the basis of solution volume, is expressed in terms of percent weight by volume (%w/v), percent volume by volume (%v/v) and molarity (M). When concentration is measured on the basis of mass of solvent, it is expressed in terms of percent weight by weight (%w/w).

Answer to Problem 7.35E

The concentration in %(v/v) of a 300.-mL sample giving 109mL of acetone on distillation is 36.33%v/v.

Explanation of Solution

The formula to calculate concentration in %(v/v) is given below as,

%(v/v)=SolutevolumeSolutionvolume×100

The volume of acetone and volume of solution is 109mL and 300.-mL respectively.

Substitute the value of volume of acetone and volume of solution in the above equation as follows.

%(v/v)=109mL300mL×100=36.33%v/v

Thus, the concentration in %(v/v) of a 300.-mL sample giving 109mL of acetone on distillation is 36.33%v/v.

Conclusion

The concentration in %(v/v) of a 300.-mL sample giving 109mL of acetone on distillation is 36.33%v/v.

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Chapter 7 Solutions

Chemistry for Today: General, Organic, and Biochemistry

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Solutions: Crash Course Chemistry #27; Author: Crash Course;https://www.youtube.com/watch?v=9h2f1Bjr0p4;License: Standard YouTube License, CC-BY