Question:

20 mL of 0.1 M \(\mathrm{H_2SO_4}\) solution is added to 30 mL of of 0.2 M \(\mathrm{NH_4OH}\) solution. The pH of the resultant mixture is : [\(\mathrm{pk_b}\) of \(\mathrm{NH_4OH}\) = 4.7].

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Neutralisation leaves a basic buffer of \(\mathrm{NH_4OH}\) and \(\mathrm{NH_4^+}\); use pOH = pKb + log([salt]/[base]).
Updated On: Nov 5, 2026
  • 5.2
  • 9.0
  • 5.0
  • 9.4
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The Correct Option is B

Solution and Explanation

Moles of \(\mathrm{H^+}\) = 2 \(\times\) 0.1 \(\times\) 20 = 4 mmol. Moles of \(\mathrm{NH_4OH}\) = 0.2 \(\times\) 30 = 6 mmol.
\(\mathrm{NH_4OH + H^+ \rightarrow NH_4^+ + H_2O}\): remaining \(\mathrm{NH_4OH}\) = 6 - 4 = 2 mmol; \(\mathrm{NH_4^+}\) formed = 4 mmol.
This is a basic buffer: \(\mathrm{pOH = pK_b + \log\dfrac{[salt]}{[base]} = 4.7 + \log\dfrac{4}{2} = 4.7 + 0.3 = 5.0}\).
pH = 14 - 5.0 = 9.0.
Answer: (2) 9.0
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