Questions: Construct the expression for Kc for the following reaction. 2 Ag(s) + Zn^2+(aq) ⇌ 2 Ag^+(aq) + Zn(s) Kc=

Construct the expression for Kc for the following reaction. 2 Ag(s) + Zn^2+(aq) ⇌ 2 Ag^+(aq) + Zn(s) Kc=
Transcript text: Construct the expression for Kc for the following reaction. \[ 2 \mathrm{Ag}(\mathrm{~s})+\mathrm{Zn}^{2}(\mathrm{aq}) \rightleftharpoons 2 \mathrm{Ag}^{*}(\mathrm{aq})+\mathrm{Zn}(\mathrm{~s}) \] \[ K_{c}= \]
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Solution

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Solution Steps

Step 1: Identify the Reaction Components

The given reaction is:

\[ 2 \mathrm{Ag}(\mathrm{s}) + \mathrm{Zn}^{2+}(\mathrm{aq}) \rightleftharpoons 2 \mathrm{Ag}^{+}(\mathrm{aq}) + \mathrm{Zn}(\mathrm{s}) \]

In this reaction, the components involved are:

  • Solid silver (\(\mathrm{Ag}(\mathrm{s})\))
  • Aqueous zinc ions (\(\mathrm{Zn}^{2+}(\mathrm{aq})\))
  • Aqueous silver ions (\(\mathrm{Ag}^{+}(\mathrm{aq})\))
  • Solid zinc (\(\mathrm{Zn}(\mathrm{s})\))
Step 2: Determine the Expression for \(K_c\)

The equilibrium constant expression \(K_c\) for a reaction is given by the ratio of the concentrations of the products to the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. However, for solids, their activity is considered to be 1 and they do not appear in the expression for \(K_c\).

For the given reaction, the expression for \(K_c\) is:

\[ K_c = \frac{[\mathrm{Ag}^{+}]^2}{[\mathrm{Zn}^{2+}]} \]

Final Answer

The expression for the equilibrium constant \(K_c\) is:

\[ \boxed{K_c = \frac{[\mathrm{Ag}^{+}]^2}{[\mathrm{Zn}^{2+}]}} \]

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