Problem 14-79

To find the Ka of trichloroacetic acid:

  HCCl3CO2H++CCl3CO2
I0.050 M 0 0
C0.050 M - x +x +x
E0.050 M - x x x
Ka= x2  
0.050 - x

HClO4 is a strong acid, therefore it is completely dissociated in water
  0.040 M HClO4 = 0.040 M [H+] in solution

Since both HCCl3CO2 and HClO4 acid have the same pH, then [H+] are the same

Knowing that at equilibrium x = [H+] which is 0.040 M, then:

Ka= (0.040)2 = 0.16
0.050 - 0.040