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The number of moles of \(\mathrm{NH_4Cl}\) that should be added with 1 L of 1M \(\mathrm{NH_4OH}\) for preparing a buffer solution of pH = 9 is [\(K_b = 1.8 \times 10^{-5}\)]

Question and options

The number of moles of NH4Cl\mathrm{NH_4Cl} that should be added with 1 L of 1M NH4OH\mathrm{NH_4OH} for preparing a buffer solution of pH = 9 is [Kb=1.8×10−5K_b = 1.8 \times 10^{-5}]
  1. 2.2 moles
  2. 4.6 moles
  3. 3.2 moles
  4. 1.8 moles

Answer and explanation

Correct answer: D - 1.8 moles
pOH = 14 - 9 = 5. Henderson: pOH=pKb+log⁡([salt]/[base])\mathrm{pOH} = \mathrm{p}K_b + \log([\text{salt}]/[\text{base}]); pKb=4.745\mathrm{p}K_b = 4.745, so log⁡[salt]=0.255\log[\text{salt}] = 0.255 and [NH4Cl]=1.8[\mathrm{NH_4Cl}] = 1.8 mol in 1 L.

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