Calculate the pH of a mixture that contains 0.20 M of HNO3 and 0.27 M of HC6H5O.
we know that
botH HN03 and HC6H5O are acids
so
both contribute [H+]
first consider HN03
we know that
HN03 is a strong acid
so 100% dissociation
HN03 ---> H+ + N03-
so
[H+] = [HN03] = 0.2
now
consider HC6H5O
it is a weak acid
we know that
for weak acids
[H+] = sqrt ( Ka x C)
given
Ka = 1.122 x 10-10
concentration (C) = 0.27
so
[H+] = sqrt ( 1.122 x 10-10 x 0.27)
[H+] = 5.5 x 10-6
now
total [H+] = 0.2 + (5.5 x 10-6)
total [H+] = 0.200005504
total [H+] = 0.2
now
we know that
pH = -log [H+]
so
pH = -log 0.2
pH = 0.6989
so
the pH of the solution is 0.7
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