In: Chemistry
Determine the [OH-], [H+], pH, and pOH of each of the following: a. 0.29 M Sr(OH)2 b. A 2.50 L solution prepared by dissolving 15.6 g of KOH in distilled water. c. A 250 ml solution prepared by dissolving 42.1 g of NaOH in distilled water d. A 300 ml solution prepared by dissolving 5.00 g of HI in 300ml of a 0.796 M solution of HNO3?
a. 0.29 M Sr(OH)2
Sr(OH)2 = Sr2+ 2 [OH-]
Thus 0.29 M Sr(OH)2 = 2* 0.29 M [OH-]
= 0.58 M [OH-]
pOH = - log [OH-]
= 0.237
pH + pOH = 14
pH = 14-0.237
= 13.76
[H+] = 10^-pH
=10^- 13.76
= 1.74*10^-14
\
b. A 2.50 L solution prepared by dissolving 15.6 g of KOH in distilled water
moles of KOH = 15.6 g / molar mass; 56.1056 g/mol
= 0.278 moles
Molarity = number of moles / volume in L
= 0.278 moles / 2..50 L
= 0.11 M
KOH = K+ + OH-
[OH-]= 0.11 M
pOH = - log [OH-]
= 0.95
pH + pOH = 14
pH = 14-0.95
= 13.05
[H+] = 10^-pH
=10^- 13.05
=8.91*10^-14
c. A 250 ml solution prepared by dissolving 42.1 g of NaOH in distilled water
moles of NaOH = 42.1 g / molar mass; 39.997 g/mol
= 1.053 moles
Molarity = number of moles / volume in L
= 1.053 moles / 0.250L
= 4.2 M
NaOH = Na+ + OH-
[OH-]= 4.2 M
pOH = - log [OH-]
= 0.62
pH + pOH = 14
pH = 14-0.62
= 13.38
[H+] = 10^-pH
=10^- 13.38
=4.17*10^-14
d. A 300 ml solution prepared by dissolving 5.00 g of HI in 300ml of a 0.796 M solution of HNO3?
Moles of HI= 5.00 g/ 127.911 g/ mole
= 0.039 moles HI
Or 0.039 H+
Moles of HNO3 = Molarity * volume in L
= 0.796 *0.300
= 0.2388 HNO3
OR
0.2388 H+
Total H+ = 0.2778 moles
Molarity = 0.2778 /0.300 L
= 0.926 M
pH = -log [H+]
= 0.033
pH + pOH = 14
pOH = 14-0.033
= 13.967
[OH-] = 10^-pOH
=10^- 13.967
=1.08*10^-14