A 25.0 ml sample of 0.150 M nitrous acid is titrated with a0.150 M NaOH solution. What is the pH at the equivalence point? theKa of Nitrous Acid is 4.50 x 10-4.

3 Answers
Apr 16, 2018

See the answer by @Andrea. https://socratic.org/users/andrea-b-3

Apr 16, 2018

pH= 8.11

Explanation:

When the titration occurrs you have used 25,0 mL of NaOH so you in total have 50.0 mL of NaNO2 that (because the volume is double) will be 0.075 M
pH of equivalent point is the pH of this solution of NaNO2 0.075 M
It is a salt with a basic hydrolysis
[OH]=KwKa×Cs=1×10144.5×104×7.5×102=1,67×1012=1.29×106
pOH = 5.89
pH= 8.11

Apr 17, 2018

You should treat this problem with care... most students would (i) use the Henderson-Hasselbalch equation and use HNO2 as the acid and NaOH as the base, (ii) use the Ka and thus assume HNO2 is dissociating in water, or (iii) forget about dilution and use 0.150 M=[NO2]i. That doesn't make sense.

The pH is 8.11.


By neutralizing to the equivalence point, only NO2 remains. That comes from

0.150 mol HNO2L×0.025 L=0.00375 mols NO2 formed

upon exact neutralization of HNO2 with NaOH. This is now in a volume of 25.0 mL+25.0 mL=50.0 mL=0.050 L.

Therefore, we get a diluted concentration of

[NO2]i=0.00375 mols0.050 L=0.075 M NO2,

as expected since the volume was doubled (so the concentration should halve).

Now, this nitrite will associate in an equilibrium within water:

NO2(aq)+H2O(l)HNO2(aq)+OH(aq)

I 0.075 0 0
C x +x +x
E 0.075x x x

Here we have a BASE, and so we must use the Kb:

KaKb=Kw

KwKa=Kb=10144.50×104=2.22×1011

It is apparent that this Kb is very small, so the small x approximation works here very well. This is true usually when K is on the order of 105 or less.

Write the mass action expression:

Kb=2.22×1011=x20.075xx20.075

Hence,

x[OH]=0.075Kb

=0.0752.22×1011

=1.29×106M OH

Therefore,

pOH=log[OH]=5.89

pH=14pOH=8.11