Answer: Commercial silver-plating operations frequently

Chapter 23, Problem 72P

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Commercial silver-plating operations frequently use a solution containing the complex \(\operatorname{Ag}(\mathrm{CN})_{2}^{-}\) ion. Because the formation constant \(\left(K_{\mathrm{f}}\right)\) is quite large, this procedure ensures that the free \(\mathrm{Ag}^{+}\) concentration in solution is low for uniform electrodeposition. In one process, a chemist added 9.0 L of 5.0 M NaCN to 90.0 L of 0.20 M \(\mathrm{AgNO}_{3}\). Calculate the concentration of free \(\mathrm{Ag}^{+}\) ions at equilibrium. See Table 16.4 for \(\left(K_{\mathrm{f}}\right)\) value.

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