A 100.00mL solution of 0.80 M in HC&H&O6 is titrated with 0.80 M NaOH. Find the pH after 100.00mL of NaOH have been added. For HC&H6O6 K3=7.9×10-5.

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**Problem:**

A 100.00 mL solution of 0.80 M in \( \text{HC}_6\text{H}_6\text{O}_6 \) is titrated with 0.80 M NaOH. 

Find the pH after 100.00 mL of NaOH has been added. For \( \text{HC}_6\text{H}_6\text{O}_6 \), \( K_a = 7.9 \times 10^{-5} \).

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**Description:**

This problem involves a titration between a weak acid (\( \text{HC}_6\text{H}_6\text{O}_6 \)) and a strong base (NaOH). You are asked to find the pH of the solution after an equivalent amount of NaOH has been added to the initial acid solution. 

**Steps to Solve:**

1. **Initial Moles of Acid and Base:**
   - Calculate moles of \( \text{HC}_6\text{H}_6\text{O}_6 \): \( 0.100 \, \text{L} \times 0.80 \, \text{M} = 0.080 \, \text{mol} \).
   - Calculate moles of NaOH: \( 0.100 \, \text{L} \times 0.80 \, \text{M} = 0.080 \, \text{mol} \).

2. **Determine the Reaction Progress:**
   - Since moles of acid and base are equal, they completely neutralize each other to form the conjugate base.

3. **Calculate the Concentration of the Conjugate Base:**
   - The total volume after mixing = \( 100.00 \, \text{mL} + 100.00 \, \text{mL} = 200.00 \, \text{mL} = 0.200 \, \text{L} \).
   - Concentration of conjugate base \( (\text{C}_6\text{H}_5\text{O}_6^-) \) = \( \frac{0.080 \, \text{mol}}{0.200 \, \text{L}} = 0.40 \, \text{M} \).

4. **Use
Transcribed Image Text:**Problem:** A 100.00 mL solution of 0.80 M in \( \text{HC}_6\text{H}_6\text{O}_6 \) is titrated with 0.80 M NaOH. Find the pH after 100.00 mL of NaOH has been added. For \( \text{HC}_6\text{H}_6\text{O}_6 \), \( K_a = 7.9 \times 10^{-5} \). --- **Description:** This problem involves a titration between a weak acid (\( \text{HC}_6\text{H}_6\text{O}_6 \)) and a strong base (NaOH). You are asked to find the pH of the solution after an equivalent amount of NaOH has been added to the initial acid solution. **Steps to Solve:** 1. **Initial Moles of Acid and Base:** - Calculate moles of \( \text{HC}_6\text{H}_6\text{O}_6 \): \( 0.100 \, \text{L} \times 0.80 \, \text{M} = 0.080 \, \text{mol} \). - Calculate moles of NaOH: \( 0.100 \, \text{L} \times 0.80 \, \text{M} = 0.080 \, \text{mol} \). 2. **Determine the Reaction Progress:** - Since moles of acid and base are equal, they completely neutralize each other to form the conjugate base. 3. **Calculate the Concentration of the Conjugate Base:** - The total volume after mixing = \( 100.00 \, \text{mL} + 100.00 \, \text{mL} = 200.00 \, \text{mL} = 0.200 \, \text{L} \). - Concentration of conjugate base \( (\text{C}_6\text{H}_5\text{O}_6^-) \) = \( \frac{0.080 \, \text{mol}}{0.200 \, \text{L}} = 0.40 \, \text{M} \). 4. **Use
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