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JEE Main 2010
Exam
JEE Main
Year
2010
Subject
Chemistry
Chapter
Ionic Equilibrium

JEE Main 2010 · Chemistry · Ionic Equilibrium

Solubility product of silver bromide is 5.0 × 10^ -13 . The...

Solubility product of silver bromide is 5.0×10−135.0 \times 10^{-13}. The quantity of potassium bromide (molar mass precipitation of AgBr\mathrm{AgBr} is

Options

  1. A1.2×10−10 g1.2 \times 10^{-10} \mathrm{~g}
  2. B1.2×10−9 g1.2 \times 10^{-9} \mathrm{~g}
  3. C6.2×10−5 g6.2 \times 10^{-5} \mathrm{~g}
  4. D5.0×10−8 g5.0 \times 10^{-8} \mathrm{~g}

Correct answer

B. 1.2×10−9 g1.2 \times 10^{-9} \mathrm{~g}

Step-by-step solution

Ag++Br−⇌AgBr\mathrm{Ag}^{+}+\mathrm{Br}^{-} \rightleftharpoons \mathrm{AgBr} Precipitation starts when ionic product just exceeds solubility product Ksp =[Ag+][Br−][Br−]=Ksp[Ag+]=5×10−130.05=10−11\begin{aligned} \mathrm{K}_{\text{sp }}= \left[\mathrm{Ag}^{+}\right]\left[\mathrm{Br}^{-}\right]\\ & {\left[\mathrm{Br}^{-}\right]=\frac{\mathrm{K}_{\mathrm{sp}}}{\left[\mathrm{Ag}^{+}\right]}=\frac{5 \times 10^{-13}}{0.05}=10^{-11}} \end{aligned}i.e., precipitation just starts when 10^{-11}molesofmoles of\mathrm{KBr} is added to 1 \mathrm{ L} of \mathrm{AgNO}_3 solution. No. of moles of \mathrm{KBr} to beaddedbe added∴ weight of  KBr to be added =10−11×120=1.2×10−9g\begin{aligned} \therefore\text{ weight\text{ of } } \mathrm{KBr} \text{ to be added } & =10^{-11} \times120 \\ & =1.2 \times10^{-9} \mathrm{ g} \end{aligned}$
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