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JEE Main 202225 JulyMorning Shift

Exam: JEE Main
Year: 2022
Date: 25 July
Shift: Morning Shift
Subject: Chemistry
Chapter: Ionic Equilibrium

JEE Main 2022 · 25 July · Morning Shift · Chemistry · Ionic Equilibrium

20mL of 0 . 1M NH _ 4 OH is mixed with 40mL of 0 . 05MHCl . The pH...

20mL

of

0 . 1M{NH}_{4}OH

is mixed with

40mL

of

0 . 05MHCl

. The

pH

of the mixture is nearest to:
(Given:

{K}_{b}\left({NH}_{4}OH\right) = 1 \times {10}^{- 5}, \log 2 = 0 . 30

,

\log 3 = 0 . 48, \log 5 = 0 . 69, \log 7 = 0 . 84

,

\log 11 = 1 . 04

)

Options

A $3 . 2$
B $4 . 2$
C $5 . 2$
D $6 . 2$

Correct answer

C. $5 . 2$

Step-by-step solution

${NH}_{4}OH + HCl \to {NH}_{4}Cl + {H}_{2}O$ \begin{cases}mmole & 2 & 2\end{cases} $afterreaction - - 2milimoles$
\left[{NH}_{4}^{+}\right] = \dfrac{2mmole}{60ml} = \dfrac{1}{30}M $</p><p>$ pH = \dfrac{{pK}_{w} - {pK}_{b} - logC}{2} = \dfrac{14 - 5 + 1 . 48}{2} = 5 . 24

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