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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
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### Calculation of Moles of Ethanol (C₂H₅OH) in a Solution

**Question:**
What quantity in moles of \( \text{C}_2\text{H}_5\text{OH} \) are there in 63.4 mL of 0.250 M \( \text{C}_2\text{H}_5\text{OH} \)?

**Solution:**
1. **Understanding Molarity:**
   - Molarity (M) is defined as the number of moles of solute (in this case, \( \text{C}_2\text{H}_5\text{OH} \)) per liter of solution.
   - Given molarity (M) = 0.250 M, it means 0.250 moles of \( \text{C}_2\text{H}_5\text{OH} \) in 1 liter of the solution.

2. **Volume Conversion:**
   - Volume given = 63.4 mL.
   - Convert milliliters (mL) to liters (L): 
     \[ 63.4 \, \text{mL} = 63.4 \times 10^{-3} \, \text{L} \]
     \[ 63.4 \, \text{mL} = 0.0634 \, \text{L} \]

3. **Calculate Moles:**
   - Use the formula to calculate the moles of solute: 
     \[ \text{Moles of solute} = \text{Molarity} \times \text{Volume (in liters)} \]
   - Substituting the values:
     \[ \text{Moles of } \text{C}_2\text{H}_5\text{OH} = 0.250 \, \text{M} \times 0.0634 \, \text{L} \]
     \[ \text{Moles of } \text{C}_2\text{H}_5\text{OH} = 0.01585 \, \text{moles} \]

**Answer:**
There are \(0.01585\) moles of \( \text{C}_2\text{H}_5\text{OH} \) in 63
Transcribed Image Text:### Calculation of Moles of Ethanol (C₂H₅OH) in a Solution **Question:** What quantity in moles of \( \text{C}_2\text{H}_5\text{OH} \) are there in 63.4 mL of 0.250 M \( \text{C}_2\text{H}_5\text{OH} \)? **Solution:** 1. **Understanding Molarity:** - Molarity (M) is defined as the number of moles of solute (in this case, \( \text{C}_2\text{H}_5\text{OH} \)) per liter of solution. - Given molarity (M) = 0.250 M, it means 0.250 moles of \( \text{C}_2\text{H}_5\text{OH} \) in 1 liter of the solution. 2. **Volume Conversion:** - Volume given = 63.4 mL. - Convert milliliters (mL) to liters (L): \[ 63.4 \, \text{mL} = 63.4 \times 10^{-3} \, \text{L} \] \[ 63.4 \, \text{mL} = 0.0634 \, \text{L} \] 3. **Calculate Moles:** - Use the formula to calculate the moles of solute: \[ \text{Moles of solute} = \text{Molarity} \times \text{Volume (in liters)} \] - Substituting the values: \[ \text{Moles of } \text{C}_2\text{H}_5\text{OH} = 0.250 \, \text{M} \times 0.0634 \, \text{L} \] \[ \text{Moles of } \text{C}_2\text{H}_5\text{OH} = 0.01585 \, \text{moles} \] **Answer:** There are \(0.01585\) moles of \( \text{C}_2\text{H}_5\text{OH} \) in 63
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