J.R. S. answered 10/14/23
Ph.D. University Professor with 10+ years Tutoring Experience
Let the weak monoprotic acid be represented by HA.
HA ==> H+ + A-
The percent ionization will be the [H+] or [A-] divided by the [HA] (x100%). So we need to find the [H+] which will be the same as the [A-]. We can predict that the % ionization will be small since the Ka is so small.
Ka = [H+][A-] / [HA]
4.92x10-10 = (x)(x) / 0.131 - x (assume x is small relative to 0.131 and ignore it as an approximation)
4.92x10-10 = x2 / 0.131
x2 = 6.45x10-11
x = 8.03x10-6 (note this is very small relative to 0.131 so above assumption was valid)
[H+] = [A-] = 8.03x10-6 M
% ionization = 8.03x10-6 M / 0.131 M (x100%) = 0.00613% (very low, indeed)