In: Chemistry
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
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