Hello!
The reaction between HBr and KOH is the following:
HBr+KOH→H₂O + KBr
To calculate the amount of HBr left after addition of KOH, you'll use the following equations:
[tex]HBr_f=HBr_i-KOH=([HBr]*vHBr)-([KOH]*vKOH) \\ \\ HBr_f=(0,25M*0,64L)-(0,5M*0,32L)=0 mol HBr[/tex]
That means that after the addition of 32 mL of KOH, there is no HBr left in the solution and the pH should be neutral, close to 7.
Have a nice day!