Calculate the pH of 0.836 M anilinium hydrochloride (C6H5NH3Cl) solution in water, given that Kb for aniline is 3.83 ⋅ 10−4.
Ans :- pH = 5.33
Explanation :-
Given ,
Kb of C6H5NH3Cl = 3.83 x 10-4
So,
pKb = - log Kb = - log 3.83 x 10-4 = 3.4168 and
given, Concentration i.e. C = 0.83 M
C6H5NH3Cl is a salt of weak base i.e. C6H5NH2and strong acid i.e. HCl , and the pH of a salt of weak base and strong acid can be calculated by using the eqtauion :
pH = 1/2 [pKw - pKb - log C] , Here pKw = 14
So,
pH = 1/2 [ 14 - pKb - log C]
pH = 1/2 [ 14 - 3.4168 - log 0.836 ]
pH = 1/2 [ 14 - 3.4168 - ( - 0.07779) ]
pH = 1/2 [ 14 - 3.4168 + 0.07779 ]
pH = 1/2 [ 10.66099]
pH = 5.33
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