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Chapter 15: Q47E (page 874)

Question: A solution contains \(1.0 \times 1{0^{ - 2}}\)mol of KI and 0.10 mol of KCl per liter. \(AgN{O_3}\)is gradually added to this solution. Which forms first, solid AgI or solid AgCl?

Short Answer

Expert verified

The solid AgI will form first.

Step by step solution

01

Find which will form first:

For AgCl,

\(\begin{array}{*{20}{c}}{{K_{sp}}(AgCl) = \left( {A{g^ + }} \right)\left( {C{l^ - }} \right) = 1.8 \times {{10}^{ - 10}}}\\{\left( {A{g^ + }} \right) = \frac{{1.8 \times {{10}^{ - 10}}}}{{0.10M}} = 1.8 \times {{10}^{ - 9}}M}\end{array}\)

For AgI,

\(\begin{array}{*{20}{c}}{{K_{sp}}(AgI) = \left( {A{g^ + }} \right)\left( {{I^ - }} \right) = 1.5 \times {{10}^{ - 16}}}\\{\left( {A{g^ + }} \right) = \frac{{1.5 \times {{10}^{ - 16}}}}{{1 \times {{10}^{ - 2}}M}} = 1.5 \times {{10}^{ - 9}}M}\end{array}\)

\(\left( {A{g^ + }} \right)(AgCl) > \left( {A{g^ + }} \right)(AgI)\)

Therefore the solution is solid AgI will form first.

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Most popular questions from this chapter

Question: Perform the following calculations involving concentrations of iodate ions:

(a) The iodate ion concentration of a saturated solution of \(La{\left( {I{O_3}} \right)_3}\)was found to be\(3.1 \times 1{0^{ - 3}}mol/L\). Find the\({K_{sp}}\).

(b) Find the concentration of iodate ions in a saturated solution of \(Cu{\left( {I{O_3}} \right)_2}\left( {{K_{5p}} = 7.4 \times 1{0^{ - 8}}} \right)\).

Calculate the concentration of Ag+ required to begin precipitation of Ag2CO3 in a solution that is 2.50 × 10-6M in CO3 2-

Calculate the molar solubility of Sn (OH)2 in a buffer solution containing equal concentrations of NH3and NH4+.

Question: Using the dissociation constant, \({K_d} = 1 \times 1{0^{ - 44}}\), calculate the equilibrium concentrations of \(F{e^{3 + }}\;and\;C{N^ - }\) in a \(0.333M\) solution of \(Fe(CN)_6^{3 - }\).

Assuming that no equilibria other than dissolution are involved, calculate the molar solubility of each of the following from its solubility product:

\(\begin{array}{l}(a)KH{C_4}{H_4}{O_6}\\(b)Pb{I_2}\\(c)A{g_4}\left[ {Fe{{(CN)}_6}} \right],a salt containing the Fe{(CN)_4}^ - ion\\(d)H{g_2}{I_2}\end{array}\)

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