Chemistry · Ionic Equilibrium

JEE Advanced 2020 — Paper 2 — Question 28

A solution of 0.1 M weak base (B) is titrated with 0.1 M of a strong acid (HA). The variation of pH of the solution with the volume of HA added is shown in the figure below. What is the pKb\mathrm{p} K_{\mathrm{b}} of the base? The neutralization reaction is given by B+HA→BH++A−\mathrm{B}+\mathrm{HA} \rightarrow \mathrm{BH}^{+}+\mathrm{A}^{-}.

Question figure

Answer: 3

Numerical answer — enter this value.

Step-by-step solution

B( weak base )+HAA (strong acid) )⟶BH++A−\underset{(\text { weak base })}{\mathrm{B}}+\underset{\text { (strong acid) })}{\mathrm{HAA}} \longrightarrow \mathrm{BH}^{+}+\mathrm{A}^{-}

From the graph, it is clear, that the equivalence point is reached at a titre value of 6 mL i.e. when 6 mL of HA are

added base (B) is completely neutralized. So it will be half neutralized at titre value of 3 mL ; when 3 mL of HA is

added, ' BB ' is half - neutralized. So at this stage it will form a best buffer. i.e. pOH=pKbb=3\mathrm{pOH}=\mathrm{pK} \mathrm{b}_{\mathrm{b}}=3

So, pKb\mathrm{pK}_{\mathrm{b}} of weak base =3=3

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Advanced 2020
Paper
Paper 2
Subject
Chemistry
Chapter
Ionic Equilibrium
Topic
Solutions containing one Acid or Base
A solution of 0.1 M weak base (B) is titrated with 0.1 M of a strong… | JEE Advanced 2020 PYQ with Solution · DhiX AI