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Ionic Equilibrium question

2024 · 1 Feb · Shift 1 · Q28
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  5. /2024 · 1 Feb · Shift 1 · Q28

Ionic Equilibrium question

2024 · 1 Feb · Shift 1 · Q28

JEE MainChemistryIonic EquilibriumNumerical+4 / −1
Ka\mathrm{K}_{\mathrm{a}}Ka​ for CH3COOH\mathrm{CH}_3 \mathrm{COOH}CH3​COOH is 1.8×10−51.8 \times 10^{-5}1.8×10−5 and Kb\mathrm{K}_{\mathrm{b}}Kb​ for NH4OH\mathrm{NH}_4 \mathrm{OH}NH4​OH is 1.8×10−51.8 \times 10^{-5}1.8×10−5. The pH\mathrm{pH}pH of ammonium acetate solution will be ‾\underline{\hspace{2cm}}​.
Numerical answer
View written solutionFree

Correct answer: 7

  1. Identify the salt and its hydrolysis nature

    Ammonium acetate is a salt of:

    • weak acid: CH3COOH\mathrm{CH_3COOH}CH3​COOH with Ka=1.8×10−5K_a = 1.8 \times 10^{-5}Ka​=1.8×10−5
    • weak base: NH4OH\mathrm{NH_4OH}NH4​OH with Kb=1.8×10−5K_b = 1.8 \times 10^{-5}Kb​=1.8×10−5

    For a salt of a weak acid and a weak base, the pH is given by: pH=7+12log⁡(KbKa)\mathrm{pH} = 7 + \frac{1}{2}\log\left(\frac{K_b}{K_a}\right)pH=7+21​log(Ka​Kb​​)

  2. Substitute the given values

    Since Ka=1.8×10−5,Kb=1.8×10−5K_a = 1.8 \times 10^{-5}, \qquad K_b = 1.8 \times 10^{-5}Ka​=1.8×10−5,Kb​=1.8×10−5 we have KbKa=1.8×10−51.8×10−5=1\frac{K_b}{K_a} = \frac{1.8 \times 10^{-5}}{1.8 \times 10^{-5}} = 1Ka​Kb​​=1.8×10−51.8×10−5​=1

  3. Calculate the pH

    pH=7+12log⁡(1)\mathrm{pH} = 7 + \frac{1}{2}\log(1)pH=7+21​log(1)

    Since log⁡(1)=0\log(1)=0log(1)=0, pH=7\mathrm{pH} = 7pH=7

  4. Final answer

    The pH of ammonium acetate solution is: 7\boxed{7}7​

  5. Comparison with stored correct answer

    Stored correct answer = 777

    My derived answer also is 777, so they agree.

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