Suppose you disolve 1.2 g of KH2PO4 in 1L of water and then adjust the pH of the solution to 6.8.
What are the concentrations of the species listed below?
A) [H3PO4]
B) [H3PO4^-]
C) [HPO4^−2]
D) [PO4^−3]
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mol of KH2PO4 = mass/MW = 1.2/136.085541 = 0.0088179 mol
[H2PO4-] = 0.0088179 M
pH = 6.8
then
pH= pKa1 + log(H2PO4- / H3PO4)
pH= pKa2 + log(HPO4-2 / H2PO4-)
pH= pKa3 + log(PO4-3 / HPO4-2)
pKa data --> 2.12, 7.21, 12.3
substitute known data
[H2PO4-] = 0.0088179
6.8 = 2.12+ log(0.0088179 / H3PO4)
6.8 = 7.21+ log(HPO4-2 / 0.0088179 )
6.8 = 12.3 + log(PO4-3 / HPO4-2)
solve for all:
6.8 = 2.12+ log(0.0088179 / H3PO4)
0.0088179 / (10^(6.8-2.12)) = H3PO4 = 1.8423*10^-7 M
[HPO4-2] = 0.0088179
6.8 = 7.21+ log(HPO4-2 / 0.0088179 )
HPO4-2 = 0.0088179 *10^(6.8 -7.21)
HPO4-2 = 0.003430 M
finally
6.8 = 12.3 + log(PO4-3 / 0.003430)
[PO4-3] = 0.003430*10^(6.8-12.3)
[PO4-3] = 1.084*10^-8
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