When you have a mixture of a stron acid and a weak one you can ignore the weak because the amount of H+ produced by the strong one is huge in comparison with the amount produced by the weak, so the pH will not be really affected. I will do the calculation with the weak one and without it
[H+] from HCl= 0.16M ----> pH= -log 0.16= 0.796
Now considering HBrO:
HBrO ----> H+ + BrO-
Ka HBrO= 2x10-9= [H+][BrO-]/[HBrO]= x2/0.21-x
Ka is really saml so we can ignore the -x.
Ka= x2/0.21 ----> x= [H+]= 2.05x10-5M ---> total [H+]= 0.16M + 2.05x10-5M= 0.1600205M ---> pH=0.796
It is the same! just ignore HBrO
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