### Equilibrium Concentration Calculation of Aluminum Hydroxide#### Reaction:Consider the following reaction:\[ \text{Al(OH)}_3(\text{s}) \rightleftharpoons \text{Al}^{3+}(\text{aq}) + 3\text{OH}^{-}(\text{aq}) \]#### Given Data:- The solubility product constant (Ksp) for aluminum hydroxide (\(\text{Al(OH)}_3\)) is \(3.01 \times 10^{-34}\).- \(0.500\) moles of aluminum hydroxide was added to \(1.00\) L of water.#### Problem Statement:Calculate the equilibrium concentrations for this reaction. Provide your answer to 3 significant figures.##### Step-by-Step Solution:1. **Establish the Initial Concentrations:** Since aluminum hydroxide is a solid, its concentration remains constant and does not appear in the equilibrium expression. Initially, there are 0 moles of both \(\text{Al}^{3+}\) and \(\text{OH}^{-}\).2. **Define the Changes at Equilibrium:** Let \(s\) be the solubility of \(\text{Al(OH)}_3\) in mol/L. At equilibrium: - The concentration of \(\text{Al}^{3+}\) will be \(s\) - The concentration of \(\text{OH}^{-}\) will be \(3s\)3. **Write the Expression for \(Ksp\):** \[ \text{Ksp} = [\text{Al}^{3+}][\text{OH}^{-}]^3 \] Substituting the equilibrium concentrations: \[ 3.01 \times 10^{-34} = (s)(3s)^3 = 27s^4 \]4. **Solve for \(s\):** \[ 27s^4 = 3.01 \times 10^{-34} \] \[ s^4 = \frac{3.01 \times 10^{-34}}{27} \] \[ s^4 = 1.115 \times 10^{-35} \] \[ s = (1.115 \times 10^{-

The solubility equilibrium of Al(OH)3 is represented as shown below:hence, the solubility product…

Consider the following reaction: Al(OH)3 Al(OH)3(s) The Ksp for aluminum hydroxide is 3.01 x 10-34. Calculate the equilibrium concentrations for this reaction if 0.500 moles of aluminum hydroxide was added to 1.00 L of water. Calculate your answer to 3 SIGNIFICANT FIGURES.. 13+ Al³+ (aq) + 3OH-(aq)

Consider the following reaction: Al(OH)3 Al(OH)3(s) The Ksp for aluminum hydroxide is 3.01 x 10-34. Calculate the equilibrium concentrations for this reaction if 0.500 moles of aluminum hydroxide was added to 1.00 L of water. Calculate your answer to 3 SIGNIFICANT FIGURES.. 13+ Al³+ (aq) + 3OH-(aq)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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