Chapter 23, Problem 1DE

(a)

Interpretation Introduction

To determine: The equilibrium constant expression $\left(K_c\right)$ for the given reaction.

Answer to Problem 1DE

Solution: The equilibrium constant expression $\left(K_c\right)$ for the given reaction is stated as follow.

Explanation of Solution

The given reaction is,

$\text{Cr}\left(s\right){\text{+3Ag}}^{+}\left(aq\right)\stackrel{}{\rightleftharpoons }{\text{Cr}}^{3+}\left(aq\right)+3\text{Ag}\left(s\right)$

The equilibrium constant expression $\left(K_c\right)$ for the above reaction is,

$K_c=\frac{\left[{\text{Cr}}^{3+}\right]}{{\left[{\text{Ag}}^{\text{+}}\right]}^3}$

Where,

• $K_c$ is the equilibrium constant of the given reaction.
• $\left[{\text{Cr}}^{3+}\right]$ is the equilibrium concentration of ${\text{Cr}}^{3+}$ ions.
• $\left[{\text{Ag}}^{+}\right]$ is the equilibrium concentration of ${\text{Ag}}^{+}$ ions.

The concentration of $\text{Cr}\left(s\right)$ and $\text{Ag}\left(s\right)$ does not appear in the equilibrium constant expression because they are the pure solids.

(b)

Interpretation Introduction

To determine: The equilibrium constant expression $\left(K_p\right)$ for the given reaction.

Answer to Problem 1DE

Solution: The equilibrium constant expression $\left(K_p\right)$ for the given reaction is stated as follow.

Explanation of Solution

The given reaction is,

$\text{Fe}\left(s\right){\text{+4H}}_{\text{2}}\text{O}\left(g\right)\stackrel{}{\rightleftharpoons }{\text{Fe}}_{\text{3}}{\text{O}}_{\text{4}}\left(s\right)+4{\text{H}}_2\left(g\right)$

The equilibrium constant expression $\left(K_p\right)$ for the above reaction is,

$K_p=\frac{{\left(P_{{\text{H}}_{\text{2}}}\right)}^4}{{\left(P_{{\text{H}}_{\text{2}}\text{O}}\right)}^4}$

Where,

• $K_p$ is the equilibrium constant of the given reaction in terms of partial pressure.
• $P_{{\text{H}}_{\text{2}}}$ is the partial pressure of ${\text{H}}_{\text{2}}$ gas at equilibrium.
• $P_{{\text{H}}_{\text{2}}\text{O}}$ is the partial pressure of ${\text{H}}_{\text{2}}\text{O}$ vapors at equilibrium.

The concentration of $\text{Fe}\left(s\right)$ and ${\text{Fe}}_3{\text{O}}_{\text{4}}\left(s\right)$ does not appear in the equilibrium constant expression because they are the pure solids.