Answer:
activity coefficient [tex]\mathbf{\gamma =0.809}[/tex]
activity coefficient [tex]\mathbf{\gamma = 0.791}[/tex]
The change in pH in part A = 0.092
The change in pH in part B = 0.102
Explanation:
From the given information:
pH of HCl solution = 1.092
Activity of the pH solution [a] = [tex]10^{-1.092}[/tex]
[a] = 0.0809 M
Recall that [a] = [tex]\gamma[/tex] × C
where;
[tex]\gamma[/tex] = activity coefficient
C = concentration
Making the activity coefficient the subject of the formula, we have:
[tex]\gamma = \dfrac{[a]}{C}[/tex]
[tex]\gamma = \dfrac{0.0809 \ M}{0.100 \ M}[/tex]
[tex]\mathbf{\gamma =0.809}[/tex]
B.
The pH of a solution of HCl and KCl = 2.102
[a] = [tex]10^{-2.102}[/tex]
[a] = 0.00791 M
activity coefficient [tex]\gamma = \dfrac{0.00791 \ M}{0.01 \ M}[/tex]
[tex]\mathbf{\gamma = 0.791}[/tex]
C. The change in pH in part A = 1.091 - 1.0 = 0.092
The change in pH in part B = 2.102 -2.00 = 0.102