Answer:
pH = 1.94
Explanation:
First, we need to calculate the initial concentration of acetic acid and sodium acetate:
Initial [HC2H3O2] = 1.3 M
Initial [NaC2H3O2] = 1.0 M
Next, we can set up an ICE table to determine the concentration of the species after the addition of 100 mL of 1.0 M NaOH:
HC2H3O2 + OH- ⇌ C2H3O2- + H2O
I 1.3 M 0 1.0 M
C -x -x +x
E 1.3 - x - x 1.0 + x
The concentration of OH- added is 0.1 L x 1.0 mol/L = 0.1 mol/L
Using the expression for Ka, we can calculate x:
Ka = [H3O+][C2H3O2-]/[HC2H3O2]
1.8 x 10^-5 = x^2/(1.3 - x)
Simplifying this equation gives:
1.8 x 10^-5 = x^2/1.3
x = 0.00155 M
The concentration of H3O+ after the addition of NaOH is therefore:
[H3O+] = 1.8 x 10^-5 / 0.00155 = 0.0116 M
Finally, we can calculate the pH:
pH = -log[H3O+] = -log(0.0116) = 1.94
Therefore, the pH after the addition of 100 mL of 1.0 M NaOH to the solution will be 1.94.