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## AP®︎/College Chemistry

### Course: AP®︎/College Chemistry>Unit 7

Lesson 4: Magnitude and properties of the equilibrium constant

# Magnitude and properties of the equilibrium constant

## Problem

$\begin{array}{rlrl}& \mathrm{AgBr}\left(s\right)⇌\mathrm{Ag}{\phantom{A}}^{+}\left(aq\right)+\mathrm{Br}{\phantom{A}}^{-}\left(aq\right)& & {K}_{1}=5×{10}^{-13}\\ \\ & \mathrm{Ag}{\phantom{A}}^{+}\left(aq\right)+2\phantom{\rule{0.167em}{0ex}}\mathrm{NH}{\phantom{A}}_{3}\left(aq\right)⇌\mathrm{Ag}\left(\mathrm{NH}{\phantom{A}}_{3}\right){\phantom{A}}_{2}{\phantom{A}}^{+}\left(aq\right)\phantom{\rule{0.278em}{0ex}}\phantom{\rule{1em}{0ex}}& & {K}_{2}=2×{10}^{7}\end{array}$
Given the values of ${K}_{1}$ and ${K}_{2}$ for the reactions represented above, what is the value of ${K}_{3}$ for the following reaction?
$\mathrm{AgBr}\left(s\right)+2\phantom{\rule{0.167em}{0ex}}\mathrm{NH}{\phantom{A}}_{3}\left(aq\right)⇌\mathrm{Ag}\left(\mathrm{NH}{\phantom{A}}_{3}\right){\phantom{A}}_{2}{\phantom{A}}^{+}\left(aq\right)+\mathrm{Br}{\phantom{A}}^{-}\left(aq\right)\phantom{\rule{0.278em}{0ex}}\phantom{\rule{1em}{0ex}}{K}_{3}=\text{?}$