Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2008Paper 1
Exam
JEE Advanced
Year
2008
Paper
Paper 1
Subject
Chemistry
Chapter
Ionic Equilibrium

JEE Advanced 2008 · Paper 1 · Chemistry · Ionic Equilibrium

2.5 ~mL of (2)/(5) M weak monoacidic base (K_b=1 × 10^ -12 . at...

2.5 mL2.5 \mathrm{~mL} of 25M\frac{2}{5} \mathrm{M} weak monoacidic base \left(K_b=1 \times 10^{-12}\right.at25∘C)at \left.25^{\circ} \mathrm{C}\right) is titrated with 215MHCl\frac{2}{15} \mathrm{M} \mathrm{HCl} in water at 25∘C25^{\circ} \mathrm{C}. The concentration of H+\mathrm{H}^{+}at equivalence point is \left(K_w=1 \times 10^{-14}\right.at25∘C)at \left.25^{\circ} \mathrm{C}\right)

Options

  1. A3.7×10−13M3.7 \times 10^{-13} \mathrm{M}
  2. B3.2×10−7M3.2 \times 10^{-7} \mathrm{M}
  3. C3.2×10−2M3.2 \times 10^{-2} \mathrm{M}
  4. D2.7×10−2M2.7 \times 10^{-2} \mathrm{M}

Correct answer

D. 2.7×10−2M2.7 \times 10^{-2} \mathrm{M}

Step-by-step solution

Weak monoacidic base, e.g. BOH\mathrm{BOH} is neutralised. BOH+HCl⟶BCl+H2O\mathrm{BOH}+\mathrm{HCl} \longrightarrow \mathrm{BCl}+\mathrm{H}_{2} \mathrm{O} At equivalence point all BOH\mathrm{BOH} gets converted into salt and remember! the concentration of H+\mathrm{H}^{+}(or pH\mathrm{pH} of solution) is due to hydrolysis of resultant salt (\mathrm{BCl} , cationic hydrolysis here) \underset{\mathrm{C}(1-h)}{\mathrm{B}^{+}}+ \mathrm{H}_{2} \mathrm{O} \rightleftharpoons \underset{\mathrm{Ch}}{\rightleftharpoons} OH+\mathrm{OH}+\underset{\mathrm{Ch}}{\mathrm{H}^{+}}Volume of HCl\mathrm{HCl} used up, V_a=NbVbNa=2.5×2×152×5=7.5mL\frac{N_b V_b}{N_a}=\frac{2.5 \times 2 \times 15}{2 \times 5}=7.5 \mathrm{ mL} Concentration of salt, [BCl]= Concentration of  base  Total volume =2×255(7.5+2.5)=110=0.1Kh=Ch21−h=KwKb\begin{aligned} {[\mathrm{BCl}]}& =\frac{\text{ Concentration\text{ of } base }}{\text{ Total volume }}=\frac{2 \times 25}{5(7.5+2.5)}=\frac{1}{10}=0.1 \\ K_h & =\frac{C h^2}{1-h}=\frac{K_w}{K_b} \end{aligned}(hshouldbeestimatedwhetherthatcanbeneglectedornot)oncalculatingshould be estimated whether that can be neglected or not) on calculatingh=0.27(significant,notnegligible)(significant, not negligible)\left[\mathrm{H}^{+}\right]=Ch=0.1×0.27=2.7×10−2C h=0.1 \times 0.27=2.7 \times 10^{-2}\mathrm{M}WhenWhen\left[\mathrm{H}^{+}\right]isaskedtocalculateinconnectionwithneutralisation,itShouldbecalculated:BeforeneutralisationUsingOslwald′sdilutionlawDuringneutralisationis asked to calculate in connection with neutralisation, it Should be calculated: Before neutralisation Using Oslwald's dilution law During neutralisation\quadConsideringbuffersolutionHalfneutralisationConsidering buffer solution Half neutralisation\mathrm{pH}=\mathrm{p} K_aandand\mathrm{p}KbK_b At the end of neutralisation \quad Considering hydrolysis of salt$
Practice Ionic Equilibrium on Quantrex Academy →

More from Ionic Equilibrium

Given is a concentrated solution of a weak electrolyte A_xB_y of concentration 'c' and… JEE Main 2026M_3 A_2 is a sparingly soluble salt of molar mass y g mol ^ -1 and solubility x g L ^ -1… JEE Main 2026Arrange the following resultant mixtures in increasing order of their pH values A. 10 mL… JEE Main 202620 mL of a solution of acetic acid required 28.4 mL of 0.1 M NaOH for its neutralization.… JEE Main 2026The pH of a solution obtained by mixing 5 mL of 0.1 M NH_4OH solution with 250 mL of 0.1… JEE Main 2026The first and second ionization constants of a weak dibasic acid H_2 A are 8.1 × 10^ -8… JEE Main 2026At 25°C , 20.0 mL of 0.2 M weak monoprotic acid HX is titrated against 0.2 M NaOH. The pH… JEE Main 2026The solubility product constants of Ag_2CrO_4 and AgBr are 32x and 4y respectively at 298… JEE Main 2026 Full Ionic Equilibrium list All JEE Advanced PYQs