PH of a mixed solution: is this right?

[N_L_]

Homework Statement

What is the final pH of a solution obtained by mixing 200 ml of 0.400 M NH3 with 300 ml of 0.100 M HCl? (Kb = 1.8 x 10^-5)

Homework Equations

The Attempt at a Solution

I used an ICE table and came up with 9.68. Is that correct?

Should I have used two ICE tables instead of one? The first in the one direction and the second going back in the other direction?

 

[GCT]

hint: the first reactions is that with NH3 and HCl, if you have excess HCl, then you can simply use the pH equation (pH= -log[H3O+]) to find the resulting pH, if the base is the excess, then the Kb equation is going to be used to determine the [OH-] concentration, and eventually the pH.

 

[N_L_]

Thank you.