In: Chemistry
Part A
How many moles of HF (Ka=6.8
we know that HF is a weak acid and will undergo dissociation as
HF --> H+ + F-
inital a 0 0
at equili a-x x x
ka = [H+][F-] / [HF]
Ka = x^2 /a -x
x<<<1 for weak acid
so Ka = x^2 / a = 6.8X 10^-4
now x = [H+]
pH = 3
so [H+] = antilog of -3 = 0.001
so
0.001 X 0.001/ a = 6.8X 10^-4
or a = 0.001 X 0.001 / 6.8 X 10^-4 = 1.47 X 10^-3M or moles / L
now we want to know moles in 0.15 L
which will be = 1.47 X 10^-3 X 0.15 = 2.205 X 10^-4 moles
Or without assuming x<<1
Ka = x^2 / a-x = 6.8X 10^-4
now x = [H+]
pH = 3
so [H+] = antilog of -3 = 0.001
so
0.001 X 0.001/ a-0.001 = 6.8X 10^-4
Or 10^-6 = 6.8 X 10^-4 a