d) What is the pH of a 0.022 M Ba(OH)
solution? 2
First, determine the hydroxide ion concentr
ation from the conc
entration of Ba(OH)
and 2
the fact that there are two moles of hydroxide ion in each mole of Ba(OH)
. 2
[OH
1-] =
0.022 mol Ba(OH)
2
L of solution
×
2 mol OH
1-
mol Ba(OH)
= 0.044 M 2
We use Equation 12.5 to obtain the hydronium ion concentration
[H
O 3
1+] =
1.0
×^10
-14
0.044
= 2.3
×^10
-13
M
and Equation 12.4 to determine the pH.
pH = -log [H
O 3
1+] = -log(2.3x10
-13
) = 12.64
Example 12.13
The pK
of phenol is 10.0 while the pKa
of the hydrogen sulfite (bisulfite) ion is 7.0. a
Which acid is the stronger acid? The strength of an acid increases as it pK
decreases, so the bisulfa
ite ion is the stronger
acid because it has the lower pK
. a
Chapter 12 Acid-Base Chemistry
Example 12.14
Indicate the solution with the greater hy
dronium ion concentration in each pair.
a) 0.10 M HNO
or 0.15 M HNO 2
? 2
The acids are identical, so the only differenc
e is concentration. The more concentrated
acid (0.15 M HNO
) has the greater hydronium ion concentration. 2
b) 0.10 M KF or 0.15 M KF?
Both are solutions of the same weak base, so the hydroxide ion concentration and pH increase with the concentration of the base.
Thus, the less concentrated base (0.10 M
KF) has the lower OH
1- concentration and the greater H
O 3
1+ concentration.
c) 0.05 M benzoic acid (pK
= 4.19) or 0.05 M lactic acid (pKa
= 3.85)? a
Lactic acid has the lower pK
, so it is the stronger acid and has the greater Ha
O 3
1+
concentration.
d) a solution with pH = 3 or one with a pH = 5?
The solution with the lower pH (pH = 3 solution) has the higher H
O 3
1+ ion concentration.
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State
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