Question

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Dichloroacetic acid has an acid dissociation constant of k0a = 3.32*10-2 mol/kg at 250 c calculate...

Dichloroacetic acid has an acid dissociation constant of k0a = 3.32*10-2 mol/kg at 250 c calculate the degree of dissociation and pHof 0.01 mol/kg solution

taking all activity coefficients equal to 1 and compute necessary activity coefficients from the devies equation

Solutions

Expert Solution

CHCl2COOH H+ + CHCl2COO-

0.01 0 0 - intial stage

0.01-0.01 0.01 0.01

is degree of dissociation

K = [H+][CHCl2COO-]/CHCl2COOH

3.32*10-2  = (0.01)2/(0.01-0.01)

2 + 3.32-3.32

By solving the above quadratic equation

= 0.8048

[H+] = 0.01x 0.8048

=8.0 x 10-3

pH = -log(8.0x10-3)

= 2.1

Davies equation

Ionic strength of solutiom (CHCl2COOH) I = 1/2(CH+(zH+)2 + CCHCl2COO- (zCHCl2COO-)2)

z= charge on ion

CH+ = CCHCl2COO- = 8.0 x 10-3

zH+ = zCHCl2COO- = 1

I = 1/2(8.0*10-3(1)2 + 1/2(8.0*10-3(1)2)

   = 8.0*10-3

-logf = 0.5x1x1{(8.0*10-3/ 1+ 8.0*10-3)-0.05x8.0*10-3}

= 0.03435

molal activity coefficient (f) = 1.0823


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