If the pH of a 0.200 M solution of the CICH2O¯ ion is 12.05, then what is the value for the basicity constant, Kp, of CICH2O-? You do not need to make a simplifying assumption CICH2O¬(aq) + H2O(1) CICH2OH(aq) + OH-(aq) Ky = ?

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**Title: Calculating the Basicity Constant \( K_b \) of ClCH\(_2\)O\(^-\) Ion**

**Introduction:**

- **Problem Statement:** Given the pH of a 0.200 M solution of ClCH\(_2\)O\(^-\) ion is 12.05, determine the basicity constant, \( K_b \), for ClCH\(_2\)O\(^-\). Note that a simplifying assumption is not required.

**Chemical Equation:**

- **Equilibrium Reaction:**  
  \[\text{ClCH}_2\text{O}^-(\text{aq}) + \text{H}_2\text{O}(\text{l}) \rightleftharpoons \text{ClCH}_2\text{OH}(\text{aq}) + \text{OH}^-(\text{aq})\]

**Goal:**

- **Determine:**  
  \( K_b = ? \)

**Concepts to Explore:**

1. **Understanding pH and pOH:**
   - Given pH, calculate pOH using the formula:  
     \[\text{pOH} = 14 - \text{pH}\]

2. **Concentration of OH\(^-\):**
   - Find the concentration of hydroxide ions, [OH\(^-\)], using:  
     \[[\text{OH}^-] = 10^{-\text{pOH}}\]

3. **Equilibrium Calculation:**
   - Use the equilibrium expression for the reaction:  
     \[K_b = \frac{[\text{ClCH}_2\text{OH}][\text{OH}^-]}{[\text{ClCH}_2\text{O}^-]}\]

**Steps to Solve:**

1. Calculate the pOH from the given pH.
2. Find the concentration of OH\(^-\) ions.
3. Substitute the equilibrium concentrations into the expression to find \( K_b \). 

**Concluding Remarks:**

This exercise demonstrates the application of fundamental equilibrium concepts to calculate the basicity constant of an ion in solution, utilizing given details like pH and molarity.
Transcribed Image Text:**Title: Calculating the Basicity Constant \( K_b \) of ClCH\(_2\)O\(^-\) Ion** **Introduction:** - **Problem Statement:** Given the pH of a 0.200 M solution of ClCH\(_2\)O\(^-\) ion is 12.05, determine the basicity constant, \( K_b \), for ClCH\(_2\)O\(^-\). Note that a simplifying assumption is not required. **Chemical Equation:** - **Equilibrium Reaction:** \[\text{ClCH}_2\text{O}^-(\text{aq}) + \text{H}_2\text{O}(\text{l}) \rightleftharpoons \text{ClCH}_2\text{OH}(\text{aq}) + \text{OH}^-(\text{aq})\] **Goal:** - **Determine:** \( K_b = ? \) **Concepts to Explore:** 1. **Understanding pH and pOH:** - Given pH, calculate pOH using the formula: \[\text{pOH} = 14 - \text{pH}\] 2. **Concentration of OH\(^-\):** - Find the concentration of hydroxide ions, [OH\(^-\)], using: \[[\text{OH}^-] = 10^{-\text{pOH}}\] 3. **Equilibrium Calculation:** - Use the equilibrium expression for the reaction: \[K_b = \frac{[\text{ClCH}_2\text{OH}][\text{OH}^-]}{[\text{ClCH}_2\text{O}^-]}\] **Steps to Solve:** 1. Calculate the pOH from the given pH. 2. Find the concentration of OH\(^-\) ions. 3. Substitute the equilibrium concentrations into the expression to find \( K_b \). **Concluding Remarks:** This exercise demonstrates the application of fundamental equilibrium concepts to calculate the basicity constant of an ion in solution, utilizing given details like pH and molarity.
Expert Solution
Step 1

Given: pH = 12.05

Thus, pOH = 14 - 12.05 = 1.95

As pOH = -log[OH-]

Thus, [OH-] = 10-pOH = 10-1.95 = 0.01122 M

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