Chromic acid, H2CrO4 is a diprotic acid, with pKa values of 0.86 and 6.51. Calculate the total alkalinity for a water sample containing 10-3 M Na2CO3 and 10-4 M H2CrO4
Concentration of H2CrO4 = 10^-4M
pKa1 = 0.86
Ka1 = 0.138
Ka1 = [ HCrO4-] [ H+]/ [H2CrO4]
X^2 = 0.138 × (0.0001)
=1.38 × 10^-5
X = 3.71×10^-3
[H+] = 3.71× 10^-3M
[HCrO4-] = 3.71 × 10^-3M
pK2 = 6.51
Ka2 = 2.75 × 10^-7
Ka2 = [ CrO42- ] [ H+]/[HCrO4-]
X^2 = 2.75×10^-7 × 3.71 × 10^-3
= 3.19 × 10^-5
[H+] = 3.19× 10^-5M
[CrO4^2- ] = 3.19 × 10^-5MM
Na2CO3 -------> 2Na+ + CO3^2-
CO3^2- + H2O <------> HCO3- + OH-
Kb = Kw/Kacid
= 1× 10^-14/4.8×10^-11
=2.08 ×10^-4
Kb = [ HCO3-][OH-]/[CO3^2-]
X^2 =2.08 × 10^-4× 10^-3
X = 4.5×10^-4
[ OH-] = 4.5 × 10^-4
[ HCO3-] = 4.5 × 10 ^-4
Total alkalinity =([OH-] + [HCO3-] +[ 2 × [CO3^2- ]] +[HCrO4-] + [2 × CrO4^2-]) - [H+]
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