Question

Write the equilibrium equations on which the following \(K_{\mathrm{sp}}\) expressions are based. (a) \(\left[\mathrm{Hg}_{2}^{2+}\right]\left[\mathrm{Cl}^{-}\right]^{2}\) (b) \(\left[\mathrm{Pb}^{2+}\right]\left[\mathrm{CrO}_{4}^{2-}\right]\) (c) \(\left[\mathrm{Mn}^{4+}\right]\left[\mathrm{O}^{2-}\right]^{2}\) (d) \(\left[\mathrm{Al}^{3+}\right]^{2}\left[\mathrm{~S}^{2-}\right]^{3}\)

Short answer

Based on the provided step-by-step solution, write a short answer explaining the process and the results: To find the equilibrium equations for various solubility products (Ksp), we first need to identify the dissociation equations for each ionic compound in water. We then derive the corresponding equilibrium equation using the given Ksp expression. The process involves determining the dissociated ions and their corresponding coefficients in the equilibrium equation. By following this method, we identified the equilibrium equations for Hg2(Cl)2, PbCrO4, MnO2, and Al2S3.

Step-by-step solution

(a) Write the dissociation equation for Hg2(Cl)2

In order to find the equilibrium equation, we will first write the dissociation equation for Hg2(Cl)2. The dissociation equation for Hg2(Cl)2 in water is: Hg2(Cl)2(s) <=> Hg2^2+(aq) + 2 Cl^-(aq)

(a) Write the equilibrium equation for Hg2(Cl)2 based on given Ksp expression

By utilizing the given Ksp expression, we can derive its corresponding equilibrium equation as follows: Ksp = [Hg2^2+] [Cl^-]^2

(b) Write the dissociation equation for PbCrO4

Now we will write the dissociation equation for PbCrO4. The dissociation equation for PbCrO4 in water is: PbCrO4(s) <=> Pb^2+(aq) + CrO4^2-(aq)

(b) Write the equilibrium equation for PbCrO4 based on given Ksp expression

By utilizing the given Ksp expression, we can derive its corresponding equilibrium equation as follows: Ksp = [Pb^2+] [CrO4^2-]

(c) Write the dissociation equation for MnO2

We will write the dissociation equation for MnO2. The dissociation equation for MnO2 in water is: MnO2(s) <=> Mn^4+(aq) + 2 O^2-(aq)

(c) Write the equilibrium equation for MnO2 based on given Ksp expression

By utilizing the given Ksp expression, we can derive its corresponding equilibrium equation as follows: Ksp = [Mn^4+] [O^2-]^2

(d) Write the dissociation equation for Al2S3

We will now write the dissociation equation for Al2S3. The dissociation equation for Al2S3 in water is: Al2S3(s) <=> 2 Al^3+(aq) + 3 S^2-(aq)

(d) Write the equilibrium equation for Al2S3 based on given Ksp expression

By utilizing the given Ksp expression, we can derive its corresponding equilibrium equation as follows: Ksp = [Al^3+]^2 [S^2-]^3