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 7.46E

Calculate the following:

a. The number of grams of Li 2 CO 3 in 250 . mL of 1 .75 M Li 2 CO 3 solution

b. The number of moles of NH 3 in 200 . mL of 3 .50 M NH 3 solution

c. The number of mL of alcohol in 250 . mL of 12.5 % ( v / v ) solution

d. The number of grams of CaCl 2 in 50 .0 mL of 4.20 % ( w / v ) CaCl 2 solution

Expert Solution
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Interpretation Introduction

(a)

Interpretation:

The number of grams of Li2CO3 in 250.mL of 1.75MLi2CO3 solution is to be predicted.

Concept Introduction:

The number of moles is calculated by the formula,

Molarity=NumberofmolesVolume(mL)×1000mL1L

Answer to Problem 7.46E

The number of grams of Li2CO3 in 250.mL of 1.75MLi2CO3 solution is 32.3g.

Explanation of Solution

The number of moles of Li2CO3 is calculated by the formula,

Molarity=NumberofmolesVolume(mL)×1000mL1L

The given volume and molarity is 250.mL and 1.75M respectively.

Substitute the volume and molarity in the given formula.

Numberofmoles=1.75M×250.0mL×1L1000mLNumberofmoles=0.4375moles

Thus, the number of moles of Li2CO3 is 0.4375moles.

The amount of Li2CO3 is calculated by the formula,

Moles=GivenmassMolarmass

The molar mass of Li2CO3 is 73.8g/mol.

Substitute the value of molar mass in the given formula.

0.4375moles=AmountofLi2CO373.8g/molAmountofLi2CO3=0.4375moles×73.8g/mol=32.3g

Thus, the number of grams of Li2CO3 in 250.mL of 1.75MLi2CO3 solution is 32.3g.

Conclusion

The number of grams of Li2CO3 in 250.mL of 1.75MLi2CO3 solution is 32.3g.

Expert Solution
Check Mark
Interpretation Introduction

(b)

Interpretation:

The number of moles of NH3 in 200.mL of 3.50MNH3 solution is to be predicted.

Concept Introduction:

The number of moles is calculated by the formula,

Molarity=NumberofmolesVolume(mL)×1000mL1L

Answer to Problem 7.46E

The number of moles of NH3 in 200.mL of 3.50MNH3 solution is 0.700moles.

Explanation of Solution

The number of grams of NH3 is calculated by the formula,

Molarity=NumberofmolesVolume(mL)×1000mL1L

The volume and molarity is 200.mL and 3.50M respectively.

Substitute the volume and molarity in the given formula.

Numberofmoles=3.50M×200.mL×1L1000mLNumberofmoles=0.700moles

Thus, the number of moles of NH3 is 0.700moles.

Conclusion

The number of moles of NH3 in 200.mL of 3.50MNH3 solution is 0.700moles.

Expert Solution
Check Mark
Interpretation Introduction

(c)

Interpretation:

The number of mL of alcohol in 250.mL of 12.5%(v/v) solution is to be predicted.

Concept Introduction:

The concentration of the solution in %(v/v) is given by the formula,

%(v/v)=solutevolumesolutionvolume×100

Answer to Problem 7.46E

The number of milliliters of alcohol in 250.mL of a 12.5%(v/v) solution is 31.3mL.

Explanation of Solution

The concentration of the solution in %(v/v) is given by the formula,

%(v/v)=solutevolumesolutionvolume×100 …(1)

The given value of %(v/v) is 12.5%(v/v). The volume of solution is 250.mL.

Substitute the value of %(v/v) and solution volume in equation (1).

12.5=volumeofalcohol250mL×100volumeofalcohol =250mL×12.5100=31.3mL

Hence, the number of milliliters of alcohol in 250.mL of a 12.5%(v/v) solution is 31.3mL.

Conclusion

The number of milliliters of alcohol in 250.mL of a 12.5%(v/v) solution is 31.3mL.

Expert Solution
Check Mark
Interpretation Introduction

(d)

Interpretation:

The number of grams of CaCl2 in 50.mL of 4.20%(w/v)CaCl2 solution is to be predicted.

Concept Introduction:

The concentration of the solution in %(w/v) is given by the formula,

%(w/v)=gramsofsolutemillilitersofsolution×100

Answer to Problem 7.46E

The number of grams of CaCl2 in 50.mL of 4.20%(w/v)CaCl2 solution is 2.10g.

Explanation of Solution

The concentration of the solution in %(w/v) is given by the formula,

%(w/v)=gramsofsolutemillilitersofsolution×100 …(1)

The given value of %(w/v) is 4.20%(w/v). The volume of CaCl2 solution is 50.mL.

Substitute the value of %(w/v) and volume in equation (1).

4.20=gramsofsolute50.L×100gramsofsolute=4.20×50.L100=2.10g

Hence, the number of grams of CaCl2 in 50.mL of 4.20%(w/v)CaCl2 solution is 2.10g.

Conclusion

The number of grams of CaCl2 in 50.mL of 4.20%(w/v)CaCl2 solution is 2.10g.

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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