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Derivation of Kp and Kc

Determine the...

Question

Determine the silver ion concentration in a $0.2 M$ solution of $[A g {({N H}_{3})}_{2}] {N O}_{3}$ .
$A g {({N H}_{3})}_{2}^{+} ⇌ {A g}^{+} + 2 {N H}_{3}$
$K_{d i s s .} = \frac{[{A g}^{+}] {[{N H}_{3}]}^{2}}{[A g {({N H}_{3})}_{2}^{+}]} = 6.8 \times 10^{- 8}$

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Solution

Let the concentration of ${A g}^{+}$ at equilibrium be ' $C$ ' M
$[{N H}_{3}] = 2 C M$
$K = \frac{[{A g}^{+}] {[{N H}_{3}]}^{2}}{[A g {({N H}_{3})}_{2}^{+}]}$
$6.8 \times 10^{- 8} = \frac{C \times 4 C^{2}}{0.2}$
$C = 0.0015 M$

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