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 7.31E
Interpretation Introduction

(a)

Interpretation:

The concentration in %(w/w) of 5.20g of CaCl2 dissolved in 125mL of water 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).

Expert Solution
Check Mark

Answer to Problem 7.31E

The concentration in %(w/w) of 5.20g of CaCl2 dissolved in 125mL of water is 3.99%w/w.

Explanation of Solution

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

%(w/w)=SoluteMassSolutionMass×100

The density of water is 1.00g/mL. Thus, the mass of water is equal to its volume. Hence in this case the mass of solution is taken as 125g. Substitute the value of mass of salt and mass of solution in the above equation as follows.

%(w/w)=Massof CaCl2SolutionMass×100=5.20g(125+5.20)g×100=5.20g130.2g×100=3.99%w/w

Conclusion

The concentration in %(w/w) of 5.20g of CaCl2 dissolved in 125mL of water is 3.99%w/w.

Interpretation Introduction

(b)

Interpretation:

The concentration in %(w/w) of 0.200mol of solid KBr dissolved in 200.mL of water 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).

Expert Solution
Check Mark

Answer to Problem 7.31E

The concentration in %(w/w) of 0.200mol of solid KBr dissolved in 200.mL of water is 10.63%w/w.

Explanation of Solution

The formula to calculate number of moles of solutes is given below as,

Molesofsolute=MassofsoluteMolarmassofsolute

Rearrange the above equation for mass of solute as follows.

Molesofsolute=MassofsoluteMolarmassofsoluteMassofsolute=Molesofsolute×Molarmassofsolute

The molar mass of KBr can be calculated as follows.

KBr=(1×K)+(1×Br)=(1×39.0983)+(79.904×1)=119.002g/mol

Substitute the values in the above equation as follows.

MassofKBr=MolesofKBr×MolarmassofKBr=0.200mol×119.002g/mol=23.8g

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

%(w/w)=SoluteMassSolutionMass×100

The density of water is 1.00g/mL. Thus, the mass of water is equal to its volume. Hence in this case the mass of solution is taken as 200.g. Substitute the value of mass of solute and mass of solution in the above equation as follows.

%(w/w)=MassofKBrSolutionMass×100=23.8g(200+23.8)g×100=23.8g223.8g×100=10.63%w/w

Conclusion

The concentration in %(w/w) of 0.200mol of solid KBr dissolved in 200.mL of water is 10.63%w/w.

Interpretation Introduction

(c)

Interpretation:

The concentration in %(w/w) of 50.0g of solid dissolved in 250.mL of water 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).

Expert Solution
Check Mark

Answer to Problem 7.31E

The concentration in %(w/w) of 50.0g of solid dissolved in 250.mL of water is 16.67%w/w.

Explanation of Solution

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

%(w/w)=SoluteMassSolutionMass×100

The density of water is 1.00g/mL. Thus, the mass of water is equal to its volume. Hence in this case the mass of solution is taken as 250g. Substitute the value of mass of solute and mass of solution in the above equation as follows.

%(w/w)=SoluteMassSolutionMass×100=50.0g(250+50)g×100=50g300g×100=16.67%w/w

Conclusion

The concentration in %(w/w) of 50.0g of solid dissolved in 250.mL of water is 16.67%w/w.

Interpretation Introduction

(d)

Interpretation:

The concentration in %(w/w) of 10.0mL of ethyl alcohol (density =0.789g/mL) mixed with 10.0mL of ethylene glycol (density =1.11g/mL) 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, it 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).

Expert Solution
Check Mark

Answer to Problem 7.31E

The concentration in %(w/w) of 10.0mL of ethyl alcohol (density =0.789g/mL) mixed with 10.0mL of ethylene glycol (density =1.11g/mL) is 41.55%w/w.

Explanation of Solution

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

%(w/w)=SoluteMassSolutionMass×100 …(1)

The formula to calculate density is given below as,

d=mV

Where,

m is the mass of the substance.

V is the volume of the substance.

d is the density of the substance.

The density of ethyl alcohol is 0.789g/mL. Thus, the mass of 10.0mL of ethyl alcohol can be calculated as follows.

d=mVm=d×V=0.789g/mL×10.0mL=7.89g

The density of ethylene glycol is 1.11g/mL. Thus, the mass of 10.0mL of ethylene glycol can be calculated as follows.

d=mVm=d×V=1.11g/mL×10.0mL=11.1g

Substitute the value of mass of ethyl alcohol and mass of solution in the equation (1) as follows.

%(w/w)=Massofethyl alcoholSolutionMass×100=7.89g(11.1g+7.89)g×100=7.89g18.99g×100=41.55%w/w

Conclusion

The concentration in %(w/w) of 10.0mL of ethyl alcohol (density =0.789g/mL) mixed with 10.0mL of ethylene glycol (density =1.11g/mL) is 41.55%w/w.

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Chapter 7 Solutions

Chemistry for Today: General, Organic, and Biochemistry

Ch. 7 - Prob. 7.11ECh. 7 - Classify each of the following solutes into the...Ch. 7 - Prob. 7.13ECh. 7 - Prob. 7.14ECh. 7 - Prob. 7.15ECh. 7 - Prob. 7.16ECh. 7 - Prob. 7.17ECh. 7 - Prob. 7.18ECh. 7 - Prob. 7.19ECh. 7 - Prob. 7.20ECh. 7 - Prob. 7.21ECh. 7 - Prob. 7.22ECh. 7 - Calculate the molarity of the following solutions:...Ch. 7 - Prob. 7.24ECh. 7 - Prob. 7.25ECh. 7 - Calculate: a. How many grams of solid would be...Ch. 7 - Prob. 7.27ECh. 7 - Prob. 7.28ECh. 7 - Calculate the concentration in (w/w) of the...Ch. 7 - Calculate the concentration in (w/w) of the...Ch. 7 - Prob. 7.31ECh. 7 - Calculate the concentration in (w/w) of the...Ch. 7 - Prob. 7.33ECh. 7 - Calculate the concentration in (v/v) of the...Ch. 7 - Calculate the concentration in (v/v) of the...Ch. 7 - Consider the blood volume of an adult to be 5.0L....Ch. 7 - Prob. 7.37ECh. 7 - Calculate the concentration in (w/v) of the...Ch. 7 - Calculate the concentration in (w/v) of the...Ch. 7 - Prob. 7.40ECh. 7 - Prob. 7.41ECh. 7 - Prob. 7.42ECh. 7 - Explain how you would prepare the following...Ch. 7 - Prob. 7.44ECh. 7 - Prob. 7.45ECh. 7 - Calculate the following: a. The number of grams of...Ch. 7 - Prob. 7.47ECh. 7 - Explain how you would prepare the following dilute...Ch. 7 - Prob. 7.49ECh. 7 - Prob. 7.50ECh. 7 - Prob. 7.51ECh. 7 - How many grams of solid Na2CO3 will react with...Ch. 7 - Prob. 7.53ECh. 7 - Prob. 7.54ECh. 7 - Prob. 7.55ECh. 7 - Prob. 7.56ECh. 7 - How many milliliters of 0.124MNaOH solution will...Ch. 7 - How many milliliters of 0.124MNaOH solution will...Ch. 7 - How many milliliters of 0.115MNaOH solution will...Ch. 7 - Stomach acid is essentially 0.10MHCl. An active...Ch. 7 - Prob. 7.61ECh. 7 - Prob. 7.62ECh. 7 - Prob. 7.63ECh. 7 - Calculate the boiling and freezing points of water...Ch. 7 - Calculate the boiling and freezing points of water...Ch. 7 - Prob. 7.66ECh. 7 - Prob. 7.67ECh. 7 - Prob. 7.68ECh. 7 - Calculate the osmolarity for the following...Ch. 7 - Prob. 7.70ECh. 7 - Calculate the osmotic pressure of a 0.125M...Ch. 7 - Prob. 7.72ECh. 7 - Prob. 7.73ECh. 7 - Calculate the osmotic pressure of a solution that...Ch. 7 - Prob. 7.75ECh. 7 - Prob. 7.77ECh. 7 - Prob. 7.78ECh. 7 - Prob. 7.79ECh. 7 - Suppose an osmotic membrane separates a 5.00 sugar...Ch. 7 - Prob. 7.81ECh. 7 - Prob. 7.82ECh. 7 - Suppose you have a bag made of a membrane like...Ch. 7 - Prob. 7.84ECh. 7 - Prob. 7.85ECh. 7 - Prob. 7.86ECh. 7 - Prob. 7.87ECh. 7 - Prob. 7.88ECh. 7 - Prob. 7.89ECh. 7 - When a patient has blood cleansed by hemodialysis,...Ch. 7 - Prob. 7.91ECh. 7 - Prob. 7.92ECh. 7 - Prob. 7.93ECh. 7 - Prob. 7.94ECh. 7 - Prob. 7.95ECh. 7 - Strips of fresh meat can be preserved by drying....Ch. 7 - If a salt is added to water, which of the...Ch. 7 - Prob. 7.98ECh. 7 - Prob. 7.99ECh. 7 - Prob. 7.100ECh. 7 - Which one of the following compounds is a...Ch. 7 - Prob. 7.102ECh. 7 - Prob. 7.103ECh. 7 - Prob. 7.104ECh. 7 - Prob. 7.105ECh. 7 - Prob. 7.106ECh. 7 - Prob. 7.107ECh. 7 - Prob. 7.108ECh. 7 - Prob. 7.109ECh. 7 - Prob. 7.110ECh. 7 - In a dilute solution of sodium chloride in water,...Ch. 7 - A salt solution has a molarity of 1.5M. How many...Ch. 7 - Prob. 7.113ECh. 7 - Prob. 7.114ECh. 7 - Prob. 7.115ECh. 7 - Prob. 7.116ECh. 7 - Prob. 7.117ECh. 7 - Prob. 7.118ECh. 7 - Prob. 7.119ECh. 7 - Prob. 7.120ECh. 7 - Prob. 7.121ECh. 7 - Prob. 7.122E
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