Given the following equilibrium for the dissoluton of calcite, CaCO3 (Quant Analysis)
Mathematical expression for [Ca2+]
From Eqn 1: Ksp = [Ca2+][CO32-] ........................ (1)
From Eqn 2 : k2 = [HCO3-] /[CO32-] [H+] .................(2)
or [HCO3-] = k2 [CO32-] [H+] ...............................(3)
From Eqn 3: K1 = 1 / [HCO3-] [H+] .........................(4)
Now put the value of (3) in (4)
K1 = 1 / k2 [CO32-] [H+] [H+] ....................(5)
From Eqn 4: Kw = [H+] [OH-] or ........................(6)
[H+] = Kw / [OH-] ..................................(7)
Now put the value of (7) in (5)
K1 = [OH-] / Kw . k2 [CO32-] [H+] or
[CO32-] = [OH-] / K1. Kw . k2 [H+] ...................(8)
Now put the value of (8) in (1)
Ksp = [Ca2+] [OH-] / K1. Kw . k2 [H+] or
[Ca2+] = Ksp. K1. Kw . k2 [H+] / [OH-] or
[Ca2+] = Ksp. K1. Kw . k2 [H+]2 / Kw
= Ksp. K1. k2 [H+]2
Given the following equilibrium for the dissoluton of calcite, CaCO3 (Quant Analysis) Given the following equilibrium...
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