J.R. S. answered 03/11/20
Ph.D. University Professor with 10+ years Tutoring Experience
1. Calculate the equilibrium concentrations and pH for a 0.20 M proprionic acid, a solution of a weak acid.
Ka = 1.3 x 10^-5
CH3CH2COOH ==> H+ + CH3CH2COO-
Ka = 1.3x10-5 = [H+][CH3CH2COO-]/[CH3CH2COOH]
1.3x10-5 = (x)(x)/0.20
x2 = 2.6x10-6
x = [H+] = [CH3CH2COO-] = 1.61x10-3 M
[CH3CH2COOH] = 0.20 - 1.61x10-3 = 0.1984 M
pH = -log [H+] = 2.79
2. Calculate the equilibrium concentrations and pH for a 0.20 M carbonic acid (weak acid) solution.
Compare the answer to problem 1. Note which has the higher Ka and lower pH.
H2CO3 ==> H+ + HCO3-
Ka = 4.2x10-7 = [H+][HCO3-]/[H2CO3]
4.2x10-7 = (x)(x)/0.20
x2 = 8.4x10-8
x = [H+] = [HCO3-] = 2.9x10-4 M
[H2CO3] = 0.20 - 2.9x10-4 = ~0.20 M
pH = -log [H+] = 3.5
3. Calculate the pH of a 0.34 M HCl solution.
HCl ==> H+ + Cl- This is a strong acid and ionizes 100% and as such, does not have a Ka.
pH = -log [H+]
pH = -log 0.34
pH = 0.47