# Chapter 8 Solution

```Chapter 7 Solutions and Colloids
7.4
Solution Concentrations
1
Percent Concentration
The concentration of a solution
is the amount of solute dissolved in a specific amount of
solution.
amount of solute
amount of solution
2
Mass Percent
Mass percent (%m/m) is the
• concentration is the percent by mass of solute
in a solution.
mass percent =
g of solute
x 100
g of solute + g of solvent
• amount in g of solute in 100 g of solution.
mass percent =
g of solute
x 100
100 g of solution
3
Mass of Solution
give 50.00 g
solution
8.00 g KCl
50.00 g KCl
solution
Publishing as Benjamin Cummings
4
Calculating Mass Percent
The calculation of mass percent (%m/m) requires the
• grams of solute (g KCl) and
• grams of solution (g KCl solution).
g of KCl
=
8.00 g
g of solvent (water)
=
42.00 g
g of KCl solution
=
50.00 g
8.00 g KCl (solute)
50.00 g KCl solution
x 100 = 16.0% (m/m)
5
Learning Check
A solution is prepared by mixing 15.0 g Na2CO3 and
235 g of H2O. Calculate the mass percent (%m/m) of
the solution.
1) 15.0% (m/m) Na2CO3
2) 6.38% (m/m) Na2CO3
3) 6.00% (m/m) Na2CO3
6
Solution
3) 6.00% (m/m) Na2CO3
STEP 1 mass solute = 15.0 g Na2CO3
mass solution = 15.0 g + 235 g = 250. g
STEP 2 Use g solute/ g solution ratio
STEP 3 mass %(m/m) =
g solute x
g solution
100
STEP 4 Set up problem
mass %(m/m) = 15.0 g Na2CO3 x 100 = 6.00% Na2CO3
250. g solution
7
Volume Percent
The volume percent (%v/v) is
• percent volume (mL) of solute (liquid) to volume (mL) of
solution.
volume % (v/v) = mL of solute x 100
mL of solution
• solute (mL) in 100 mL of solution.
volume % (v/v) = mL of solute
100 mL of solution
8
Mass/Volume Percent
The mass/volume percent (%m/v) is
• percent mass (g) of solute to volume (mL) of solution.
mass/volume % (m/v) = g of solute x 100
mL of solution
• solute (g) in 100 mL of solution.
mass/volume % (m/v) =
g of solute
100 mL of solution
9
Percent Conversion Factors
Two conversion factors can be written for each type
of % value.
TABLE 7.7
5% (m/v) glucose
There are 5 g of glucose
in 100 mL of solution.
5 g glucose
100 mL solution
and
100 mL solution
5 g glucose
10
Learning Check
Write two conversion factors for each solutions.
A. 8.50% (m/m) NaOH
B. 5.75% (v/v) ethanol
C. 4.8% (m/v) HCl
11
Solution
A. 8.50 g NaOH
100 g solution
and
100 g solution
8.50 g NaOH
B. 5.75 mL alcohol and
100 mL solution
100 mL solution
5.75 mL alcohol
C. 4.8 g HCl
and
100 mL solution
100 mL HCl
4.8 g HCl
12
Using Percent Concentration (m/m)
as Conversion Factors
How many grams of NaCl are needed to prepare
225 g of a 10.0% (m/m) NaCl solution?
STEP 1 Given: 225 g solution; 10.0% (m/m) NaCl
Need: g of NaCl
STEP 2 g solution
g NaCl
STEP 3 Write the 10.0% (m/m) as conversion factors.
10.0 g NaCl
and
100 g solution
100 g solution
10.0 g NaCl
STEP 4 Set up using the factor that cancels g solution.
225 g solution x 10.0 g NaCl
= 22.5 g NaCl
100 g solution
13
Learning Check
How many grams of NaOH are needed to prepare
75.0 g of 14.0% (m/m) NaOH solution?
1) 10.5 g NaOH
2) 75.0 g NaOH
3) 536 g NaOH
14
Solution
1) 10.5 g NaOH
75.0 g solution x 14.0 g NaOH = 10.5 g NaOH
100 g solution
14.0% (m/m) factor
15
Learning Check
How many milliliters of a 5.75% (v/v) ethanol
solution can be prepared from 2.25 mL
ethanol?
1) 2.56 mL
2) 12.9 mL
3) 39.1 mL
16
Solution
3) 39.1 mL
2.25 mL ethanol x 100 mL solution
5.75 mL ethanol
5.75% (v/v) inverted
= 39.1 mL solution
17
Using Percent Concentration(m/v)
as Conversion Factors
How many mL of a 4.20% (m/v) will contain 3.15 g KCl?
STEP 1 Given: 3.15 g KCl(solute); 4.20% (m/v) KCl
Need: mL of KCl
solution
STEP 2 Plan: g KCl
mL KCl solution
STEP 3 Write conversion factors.
4.20 g KCl
and 100 mL solution
100 mL solution
4.20 g KCl
STEP 4 Set up the problem
3.15 g KCl x 100 mL KCl solution = 75.0 mL KCl
4.20 g KCl
18
Learning Check
How many grams of NaOH are needed to prepare 125
mL of a 8.80% (m/v) NaOH solution?
19
Solution
How many grams of NaOH are needed to prepare 125
mL of a 8.80% (m/v) NaOH solution?
125 mL solution x 8.80 g NaOH =
100 mL solution
11.0 g NaOH
20
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