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JEE Main 2017 · Chemistry · Ionic Equilibrium · medium

A 0.10 M solution of a weak monobasic acid HA has pH=3.0. To 100 mL of this solution, 75 mL of 0.10 M NaOH is added. The pH of the resulting solution…

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A 0.10 M0.10\ \mathrm{M} solution of a weak monobasic acid HA has pH=3.0\mathrm{pH}=3.0. To 100 mL100\ \mathrm{mL} of this solution, 75 mL75\ \mathrm{mL} of 0.10 M0.10\ \mathrm{M} NaOH is added. The pH\mathrm{pH} of the resulting solution is nearly (log⁡3=0.48\log3=0.48)
  1. A. 4.54.5
  2. B. 5.05.0
  3. C. 8.98.9
  4. D. 5.55.5
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Answer: (D) 5.55.5

From pH=3\mathrm{pH}=3: [H+]=10−3[\mathrm{H^+}]=10^{-3}, Ka=(10−3)20.10−10−3≈1.0×10−5K_a=\dfrac{(10^{-3})^2}{0.10-10^{-3}}\approx1.0\times10^{-5}, pKa≈5\mathrm{p}K_a\approx5. Mixing: HA =10.0=10.0 mmol, NaOH =7.5=7.5 mmol, so A−=7.5\mathrm{A^-}=7.5 and HA left =2.5=2.5 mmol (a buffer). pH=pKa+log⁡[A−][HA]=5+log⁡3=5.48≈5.5\mathrm{pH}=\mathrm{p}K_a+\log\dfrac{[\mathrm{A^-}]}{[\mathrm{HA}]}=5+\log3=5.48\approx5.5. pH=5.0\mathrm{pH}=5.0 would be the half-neutralisation point and 4.54.5 results from inverting the ratio.
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