In: Chemistry
1. Calculate [OH−] for a solution formed by adding 5.00 mL of 0.120 M KOH to 20.0 mL of 7.1×10−2 M Ca(OH)2.
2. Calculate pH for a solution formed by adding 5.00 mL of 0.120 M KOH to 20.0 mL of 7.1×10−2 M Ca(OH)2.
3. Pyridine is a weak base that is used in the manufacture of pesticides and plastic resins. It is also a component of cigarette smoke. Pyridine ionizes in water as follows:
C5H5N+H2O⇌C5H5NH++OH−
The pKb of pyridine is 8.75. What is the pH of a 0.430 Msolution of pyridine?
4. Benzoic acid is a weak acid that has antimicrobial properties. Its sodium salt, sodium benzoate, is a preservative found in foods, medications, and personal hygiene products. Benzoic acid dissociates in water:
C6H5COOH⇌C6H5COO−+H+
The pKa of this reaction is 4.2. In a 0.79 M solution of benzoic acid, what percentage of the molecules are ionized?
1.
KOH releases 1 OH, so you are adding:
0.005Lx0.120mol/L=6x10-4molof OH-
Ca(OH)2 releases 2 OH per mole, so you are adding:
2x0.020Lx7.1×10−2mol/L=2.84x10-3mol
In the final solution you 2.84x10-3+6x10-4=3.44x10-4mol OH
divided by the final volume
2)
pOH=-log[OH-]=-log[0.1376]=0.8614
pH=14-pOH=14-0.8614=13.1386
3)
from the reaction and the mass action equation:
you should analyze the intial and equilibrium concentrations:
C5H5N | C5H5NH+ | OH− | |
intitial | 0.430 | 0 | 0 |
equilibrium | 0.430-x | x | x |
x is the concentration formed of C5H5NH+ and OH−, thus the concentration lost by the pyridine
and using the mass action equation
pKb=-logKb----->Kb=10^(-pKb)
<-----this yields a second degree equation:
<-----from the equilibrium analysis
<----again as above
4)
An analysis similar to number 3 but with acid dissociation:
pKa=-logKa----->Ka=10^(-pKa)
C6H5COOH | C6H5COO− | H+ | |
intitial | 0.79 | 0 | 0 |
equilibrium | 0.790-x | x | x |