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JEE Main 20241 FebruaryMorning Shift
Exam
JEE Main
Year
2024
Date
1 February
Shift
Morning Shift
Subject
Chemistry
Chapter
Ionic Equilibrium

JEE Main 2024 · 1 February · Morning Shift · Chemistry · Ionic Equilibrium

K _ a for CH _ 3 COOH is 1 . 8 × 10 ^ - 5 and K _ b for NH _ 4 OH...

Ka{K}_{a} for CH3COOH{CH}_{3}COOH is 1.8×10−51 . 8 \times {10}^{- 5} and Kb{K}_{b} for NH4OH{NH}_{4}OH is 1.8×10−5.1 . 8 \times {10}^{- 5} . The pHpH of ammonium acetate solution will be

Correct answer

7

Step-by-step solution

Ka{K}_{a} of CH3COOH=1.8×10−5{CH}_{3}COOH= 1. 8 \times {10}^{- 5}

Ka{K}_{a} of NH4OH=1.8×10−5{NH}_{4}OH= 1. 8 \times {10}^{- 5}

We know that pHpH of solution of the salt made up of weak acid \left({CH}_{3}COOH\right)andweakbase (NH4OH)and weak base \left({NH}_{4}OH\right) can be found using formula

pH=7+12[pKa−pKb]pH = 7 + \dfrac{1}{2} \left[{pK}_{a} - {pK}_{b}\right]

pKa=−log⁡(Ka)<{pK}_{a} = - \log \left({K}_{a}\right)<br/>=−log⁡(1.8×10−5)=−[log⁡1.8+log10−5]=−[0.2553−5]=+4.7447pKb=−log⁡(Kb)=−−log⁡(1.8×10−5)=4.7447pH=7+12[4.7447−4.7447]=7+0=7= - \log\left(1. 8 \times {10}^{- 5}\right) = - \left[\log 1. 8 + log{10}^{- 5}\right] = - \left[0. 2553 - 5\right] = + 4. 7447{pK}_{b} = - \log\left({K}_{b}\right) = --\log\left(1. 8 \times {10}^{- 5}\right) =4. 7447pH = 7 + \dfrac{1}{2}\left[4. 7447 - 4. 7447\right] = 7 + 0 = 7

If Ka=Kb{K}_{a} = {K}_{b}, then pHpH of salt is always 77.
Therefore, the pHpH of given solution is 77.
 

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