Calculate how many moles of base it takes to change the pH of the following buffered solution by 0.10 pH unit.
0.100 L of 0.25 M NH3 + 0.050 L of 0.25 M HCl
()mol
NH3 moles = M x V = 0.25 x 0.1 = 0.025
Moles of HCl = 0.25 x 0.05 = 0.0125 = moles of H+
we have reaction NH3 (aq) + H+ (aq) <---> NH4+ (aq)
after reatcing with H+ , we have NH3 moles = 0.025-0.0125 = 0.0125
NH4+ moles formed = H+ moles reacted = 0.0125
pH = pkb+ log ( Nh4+) moles / ( NH3 moles)
= 4.75 + log ( 0.0125/0.0125)
= 4.75
pH change = 0.1 hence pOH change is also 0.1, hence pOH = 4.75 -0.1 = 4.74
hence now 4.74 = 4.75 + log ( NH4+ / NH3 moles)
( Nh4+ moles/NH3moles) = 0.7943
NH4+ moles = 0.7943 ( NH3 moles) ...............(1)
Let OH- moles added = m
then NH3 moles = 0.0125+m , NH4+ moles = 0.0125-m ( since OH- + NH4+ ---> NH3 + H2O )
by eq (1) we get
(0.0125-m) = 0.7943 ( 0.0125+m)
m = 0.0014 = moles of base added to get pH change of 0.1
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