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Help me on B & C please ! (= The triprotic acid H3A has ionization constants of

ID: 879214 • Letter: H

Question

Help me on B & C please ! (= The triprotic acid H3A has ionization constants of Ka1 = 8.4× 10–4, Ka2 = 9.1× 10–7, and Ka3 = 9.0× 10–11. Calculate the following values for a 0.0320 M solution of NaH2A

Given a diprotic acid, H2A, with two ionization constants of Ka 3.06x 10-4 and Ka2 5.49x 10-2, calculate the pH and molar concentrations of H2A, HA-, and A for each of the solutions below (a) a 0.192 M solution of H2A [H,A] HA Number Number Number (b) a 0.192 M solution of NaHA [HA HA Number Number Number (c) a 0.192 M solution of Na2 [H,A] pH HA Number Number Number

Explanation / Answer

b-Ka1=3.06x10^-4, Ka2 = 5.4x10^-12

H2A<==>H+ + HA-

HA-<==> H+ + A2-

0.192-x    x        x

K1= [H+][HA-] / [H2A]

[H+]=[HA-] = 0.192M

pH= - log [H+] = - log 0.192=0.7166=0.72

[H2A]= [H+][HA-] / Ka1= 0.192 x 0.192 / 3.06x10^-4 = 0.01204x10^4 = 120.4M

Ka2= [H+][A2-] /[HA-]

5.49x10^-12= x^2/0.192-x

x is very small

5.49x10^-12 = x^2/0.192

x= [A2-]= 1.0267x10^-6M

c- [Na2A]=[H2A] = 0.192M

Ka1 = [H+][HA-]/[H2A]

Ka1= x^2/ 0.192-x

dissociation constant is very small so x is very small

Ka1=x^2/0.192

x= 0.7664x10^-2=[H+]= [HA-]

pH= -log [H+] = 2- 0.1155=1.8845

Ka2= [H+][A2-] /[HA-]

Ka2= y^2 / 0.7664x10^-2-y

y is very small

y2= Ka2x 0.7664x10^-2= 4.207x10^-14

y=[A2-]=2.05122 x10^-7M

ans-

Ka1= 8.4x10^-4, Ka2= 9.1x10^-7, Ka3= 9x10^-11

H3A<==> H+   + H2A-

[H2A-]= [H+] = 0.0320

pH=-log [H+]=-log 0.0320= 1.49485

H2A- <==> H+ + HA2-

0.032-x        x         x

Ka2= x^2/ 0.032-x [dissociation constant is very very small so x can be neglected]

x^2= 9.1x10^-7 x0.0320 = 0.2912x10^-7

x=[HA-] = 1.7064x10^-4M

HA2- <==> H+ + A3-

x-y            y        y

Ka3= y2/x-y [y is very small]

y^2= 9x10^-11 x1.7064x10^-4=

y=[A3-] = 12.39x10^-8M