25201 8 1 155 PM 96410 Gradebook 11 Caoulalor 1 Periodic Tab
Solution
Ka1 = 6.9 x 10^-3
H3PO4 ----------------> H2PO4- + H+
0.50 0 0
0.50 - x x x
Ka1 = [x][x]/[0.250-x]
6.9 x 10^-3 = x^2/(0.50-x)
x^2 + 6.9 x 10^-3 x - 3.45 x 10^-3 =0
x = 0.055
[H3PO4] = 0.50 - 0.055 = 0.212 M
[H3PO4] = 0.445 M
[H2PO4-] = x
[H2PO4-] = 0.055 M
[H+] = x = 0.055 M
almost maximum H+ ions comes from first ionisation so
pH = -log [H+] = -log(0.055)
pH= 1.26
[OH-] = kw/[H+] = 1 x10^-14 / 0.055
[OH-] = 1.81 x10^-13 M
[HPO4^-2] = Ka2 = 6.2 x10^-8 M
HPO4^2 ---------------------> PO4^-3 + H+
6.2 x10^-8 0 0.055
6.2 x10^-8- z z 0.055 +z
Ka3 = [ PO4^-3][H+]/[HPO4^2]
4.7 x 10^-13 = (z)x(0.055 +z)/ (6.2 x10^-8- z )
z= 5.30 x 10^-19 M
[PO4^-3] = z= 5.30 x 10^-19 M
