HClO = H+ + ClO-
Initial Concentration
HClO H+ Cl-
0.33M.....x.....x
Equilibrium
0.33-x .......+x............+x
Ka = ([H+] * [ClO-]) / [HClO]
3.5e-8 = x^2 / .33-x
(0.33-x) *(3.5e-8) = x^2
1.155e-8 - 3.5e-8x - x^2 = 0
-x^2 - 3.5e-8x + 1.155e-8 =0
Do the quadratic formula
x = 0.00010745
pH = -log[0.00010745]
pH = 3.97
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Verified answer
HClO = H+ + ClO-
Initial Concentration
HClO H+ Cl-
0.33M.....x.....x
Equilibrium
0.33-x .......+x............+x
Ka = ([H+] * [ClO-]) / [HClO]
3.5e-8 = x^2 / .33-x
(0.33-x) *(3.5e-8) = x^2
1.155e-8 - 3.5e-8x - x^2 = 0
-x^2 - 3.5e-8x + 1.155e-8 =0
Do the quadratic formula
x = 0.00010745
pH = -log[0.00010745]
pH = 3.97