mL In the titration of 46.0 mL of 0.400 M HCOOH with 0.150 M 1 3 LIOH, how many mL of LIOH are required to reach the halfway point? 4 5 6. C 7 8 9

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### Titration Calculation Example

**Problem Statement:**

In the titration of 46.0 mL of 0.400 M HCOOH (formic acid) with 0.150 M LiOH (lithium hydroxide), how many mL of LiOH are required to reach the halfway point?

**Steps to Solve:**

1. **Understanding the Problem**:
   - We have a formic acid solution with a known concentration and volume.
   - We need to find the volume of LiOH solution needed to reach the halfway point of the titration.

2. **Key Concepts**:
   - The halfway point in titration of a weak acid with a strong base is when half of the acid has been neutralized.
   - At the halfway point, the number of moles of base added equals half the number of moles of acid initially present.

3. **Calculations**:

   - **Determine Initial Moles of HCOOH**:
     \[
     \text{Moles of HCOOH} = \text{Molarity} \times \text{Volume} \quad (\text{in Liters})
     \]
     \[
     \text{Moles of HCOOH} = 0.400 \, \text{M} \times 46.0 \, \text{mL} \times \frac{1\, \text{L}}{1000\, \text{mL}} = 0.0184 \, \text{moles}
     \]

   - **Half of the Moles of HCOOH**:
     \[
     \text{Half} = \frac{0.0184 \, \text{moles}}{2} = 0.0092 \, \text{moles}
     \]

   - **Volume of 0.150 M LiOH to Provide 0.0092 moles**:
     \[
     \text{Volume} = \frac{\text{Moles}}{\text{Molarity}} 
     \]
     \[
     \text{Volume LiOH} = \frac{0.0092 \, \text{moles}}{0.150 \, \text{M}} = 0.0613 \, \text{L}
     \]
     \[
     \text{Volume LiOH in mL}
Transcribed Image Text:### Titration Calculation Example **Problem Statement:** In the titration of 46.0 mL of 0.400 M HCOOH (formic acid) with 0.150 M LiOH (lithium hydroxide), how many mL of LiOH are required to reach the halfway point? **Steps to Solve:** 1. **Understanding the Problem**: - We have a formic acid solution with a known concentration and volume. - We need to find the volume of LiOH solution needed to reach the halfway point of the titration. 2. **Key Concepts**: - The halfway point in titration of a weak acid with a strong base is when half of the acid has been neutralized. - At the halfway point, the number of moles of base added equals half the number of moles of acid initially present. 3. **Calculations**: - **Determine Initial Moles of HCOOH**: \[ \text{Moles of HCOOH} = \text{Molarity} \times \text{Volume} \quad (\text{in Liters}) \] \[ \text{Moles of HCOOH} = 0.400 \, \text{M} \times 46.0 \, \text{mL} \times \frac{1\, \text{L}}{1000\, \text{mL}} = 0.0184 \, \text{moles} \] - **Half of the Moles of HCOOH**: \[ \text{Half} = \frac{0.0184 \, \text{moles}}{2} = 0.0092 \, \text{moles} \] - **Volume of 0.150 M LiOH to Provide 0.0092 moles**: \[ \text{Volume} = \frac{\text{Moles}}{\text{Molarity}} \] \[ \text{Volume LiOH} = \frac{0.0092 \, \text{moles}}{0.150 \, \text{M}} = 0.0613 \, \text{L} \] \[ \text{Volume LiOH in mL}
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