Calculate the pH and in a 0.088-M H2S solution. Assume Ka1 1.0 x 10-7 %3D K2 1.0 x 10-19 %3D pH = %3D [s* =[

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**Problem Statement:**

Calculate the pH and \([S^{2-}]\) in a 0.088-M \(H_2S\) solution. Assume 

\[K_{a_1} = 1.0 \times 10^{-7}\]

\[K_{a_2} = 1.0 \times 10^{-19}\]

**Solution:**

\[ \text{pH} = \_\_\_\_\_ \]

\[ [S^{2-}] = \_\_\_\_\_ M \]

**Explanation:**

To solve for the pH and the concentration of sulfide ions \([S^{2-}]\) in a 0.088 M \(H_2S\) solution, we need to work with the dissociation constants \(K_{a_1}\) and \(K_{a_2}\). 

1. **Initial Dissociation:** \(H_2S\) dissociates in water to form \(HS^-\) and \(H^+\).

   \[H_2S \rightleftharpoons HS^- + H^+\]

   The equilibrium expression for this dissociation is given by:

   \[K_{a_1} = \frac{[HS^-][H^+]}{[H_2S]} = 1.0 \times 10^{-7}\]

2. **Second Dissociation:** \(HS^-\) further dissociates to form \(S^{2-}\) and \(H^+\).

   \[HS^- \rightleftharpoons S^{2-} + H^+\]

   The equilibrium expression for this dissociation is given by:

   \[K_{a_2} = \frac{[S^{2-}][H^+]}{[HS^-]} = 1.0 \times 10^{-19}\]

Based on these expressions, we can calculate the \([H^+]\) and \([S^{2-}]\) to determine the pH and the concentration of sulfide ions (\([S^{2-}]\)) in the solution.

**Note:** To find the exact values, you may need to set up and solve the equilibrium expressions based on the given \(K_a\) values and initial concentration of \(H_2S\).
Transcribed Image Text:**Problem Statement:** Calculate the pH and \([S^{2-}]\) in a 0.088-M \(H_2S\) solution. Assume \[K_{a_1} = 1.0 \times 10^{-7}\] \[K_{a_2} = 1.0 \times 10^{-19}\] **Solution:** \[ \text{pH} = \_\_\_\_\_ \] \[ [S^{2-}] = \_\_\_\_\_ M \] **Explanation:** To solve for the pH and the concentration of sulfide ions \([S^{2-}]\) in a 0.088 M \(H_2S\) solution, we need to work with the dissociation constants \(K_{a_1}\) and \(K_{a_2}\). 1. **Initial Dissociation:** \(H_2S\) dissociates in water to form \(HS^-\) and \(H^+\). \[H_2S \rightleftharpoons HS^- + H^+\] The equilibrium expression for this dissociation is given by: \[K_{a_1} = \frac{[HS^-][H^+]}{[H_2S]} = 1.0 \times 10^{-7}\] 2. **Second Dissociation:** \(HS^-\) further dissociates to form \(S^{2-}\) and \(H^+\). \[HS^- \rightleftharpoons S^{2-} + H^+\] The equilibrium expression for this dissociation is given by: \[K_{a_2} = \frac{[S^{2-}][H^+]}{[HS^-]} = 1.0 \times 10^{-19}\] Based on these expressions, we can calculate the \([H^+]\) and \([S^{2-}]\) to determine the pH and the concentration of sulfide ions (\([S^{2-}]\)) in the solution. **Note:** To find the exact values, you may need to set up and solve the equilibrium expressions based on the given \(K_a\) values and initial concentration of \(H_2S\).
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