A 25.0-mL sample of 0.150 M nitrous acid is titrated with a 0.150 M NaOH solution. What is the pH after 13.3 mL of base is added? The Ka of nitrous acid is 4.5 ⋅ 10-4.

Respuesta :

Answer: 8.11

Explanation:

Nitrous acid, HNO2 is a weak and monobasic acid. The equation of reaction is given below;

HNO2 + NaOH ----------------> NaNO2 + H2O....

STEP 1: Find the number of NO^2- formed;

0.150 mol HNO2/L × 0.025L

=0.00375 mol of NO2^- formed.

STEP 2: calculate the concentration of NO2^-.

From the question we know that 25.0mL of NaOH reacts with 25.0 mL of Nitrous acid,HNO2 making a total of 50mL= 0.050L.

Neutralizing to the equivalence point, we have;

Concetration of NO2^- = 0.00375 mol÷ 0.050L

=0.075 M NO2^-

STEP 3: Calculate Kb .

from; kw/ka= Kb.

10-^14/4.50×10^-4

Kb= 2.22×10^-11.

We can see than kb is very small, therefore we use mass action expression to solve for 'x'. We have;

Kb=2.22×10^-11 = x^2/0.075-x

Approximately, x^2/0.075

STEP 4: calculating the pH,

X^2= [OH^-] = √0.075 kb.

Therefore, pOH = - log [OH^-] = 5.89

pH= 14- 5.89

pH= 8.11.

The pH after 13.3 mL of base is added 8.11

Balanced chemical reaction:

HNO₂ + NaOH ---------> NaNO₂ + H₂O

Find the number of  [tex]NO_2^-[/tex]  formed:

= 0.150 mol HNO₂ /L × 0.025L

= 0.00375 mol of  [tex]NO_2^-[/tex]  formed.

Calculate the concentration of [tex]NO_2^-[/tex] :

From the question we know that 25.0mL of NaOH reacts with 25.0 mL of Nitrous acid, HNO₂ making a total of 50mL= 0.050L.

Neutralizing to the equivalence point, we have;

Concentration of [tex]NO_2^-[/tex] = 0.00375 mol /  0.050L

Concentration of  [tex]NO_2^-[/tex] [tex]=0.075 M NO_2^-[/tex]

Calculate Kb:

From; kw/ka= Kb

[tex]10^{-14}/4.50*10^{-4}\\\\K_b= 2.22*10^{-11}[/tex]

We can see than kb is very small, therefore we use mass action expression to solve for 'x'. We have;

[tex]K_b=2.22*10^{-11}\\\\ K_b= x^2/0.075-x\\\\K_b= x^2/0.075[/tex]

Calculating the pH:

[tex]x^2= [OH^-] = \sqrt{0.075 K_b}[/tex]

Therefore, pOH = - log [OH-] = 5.89

pH= 14- 5.89

pH= 8.11

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