5. 320g of MgCl2₂ was used to make 0.5 M solution. What volume of solution would have been made. Mol. wt. of MgCl₂ is 95. atniog llut top of how were li

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I’ve been having difficulties with this question for homework on biology I’m not sure if I’m supposed to do the M= equation or do Grams - Mol
### Educational Exercise: Solution Preparation Calculation

**Problem Statement:**

A quantity of 320g of MgCl₂ was used to make a 0.5 M solution. What volume of solution would have been made? *Molecular weight (Mol. wt.) of MgCl₂ is 95.*

### Steps to Solve the Problem:

1. **Calculate Moles of MgCl₂:**
   To find the moles in 320g of MgCl₂, use the formula:
   \[
   \text{moles} = \frac{\text{mass (g)}}{\text{molecular weight (g/mol)}}
   \]
   \[
   \text{moles} = \frac{320g}{95g/mol} = \frac{320}{95} \approx 3.37 \text{ moles}
   \]

2. **Determine the Volume of Solution:**
   The molarity (M) formula is:
   \[
   M = \frac{\text{moles of solute}}{\text{volume of solution (L)}}
   \]
   Rearrange this to find the volume:
   \[
   \text{volume (L)} = \frac{\text{moles of solute}}{M}
   \]
   \[
   \text{volume (L)} = \frac{3.37 \text{ moles}}{0.5 \text{ M}} = \frac{3.37}{0.5} = 6.74 \text{ L}
   \]

### Conclusion:
The volume of the solution made with 320g of MgCl₂ at a concentration of 0.5 M is **6.74 liters**.

This exercise demonstrates the application of molarity and molecular weight in practical chemistry problems, emphasizing the importance of accurate calculations in solution preparation.
Transcribed Image Text:### Educational Exercise: Solution Preparation Calculation **Problem Statement:** A quantity of 320g of MgCl₂ was used to make a 0.5 M solution. What volume of solution would have been made? *Molecular weight (Mol. wt.) of MgCl₂ is 95.* ### Steps to Solve the Problem: 1. **Calculate Moles of MgCl₂:** To find the moles in 320g of MgCl₂, use the formula: \[ \text{moles} = \frac{\text{mass (g)}}{\text{molecular weight (g/mol)}} \] \[ \text{moles} = \frac{320g}{95g/mol} = \frac{320}{95} \approx 3.37 \text{ moles} \] 2. **Determine the Volume of Solution:** The molarity (M) formula is: \[ M = \frac{\text{moles of solute}}{\text{volume of solution (L)}} \] Rearrange this to find the volume: \[ \text{volume (L)} = \frac{\text{moles of solute}}{M} \] \[ \text{volume (L)} = \frac{3.37 \text{ moles}}{0.5 \text{ M}} = \frac{3.37}{0.5} = 6.74 \text{ L} \] ### Conclusion: The volume of the solution made with 320g of MgCl₂ at a concentration of 0.5 M is **6.74 liters**. This exercise demonstrates the application of molarity and molecular weight in practical chemistry problems, emphasizing the importance of accurate calculations in solution preparation.
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