Determine how many molecules of H2CO are present in 33.0 mL of a 4.500 M solution of H2CO in water

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Question:**

Determine how many molecules of H₂CO are present in 33.0 mL of a 4.500 M solution of H₂CO in water.

**Solution:**

To solve this problem, we will use the following steps:

1. **Calculate the number of moles of H₂CO in the solution.**

   - **Molarity (M)** is defined as moles of solute per liter of solution. Therefore, to find the number of moles, we use the formula:
     \[
     \text{Moles of H}_2\text{CO} = \text{Molarity} \times \text{Volume (L)}
     \]
   - Given the molarity is 4.500 M and the volume is 33.0 mL, convert the volume to liters:
     \[
     33.0 \, \text{mL} \times \frac{1 \, \text{L}}{1000 \, \text{mL}} = 0.0330 \, \text{L}
     \]
   - Calculate the moles:
     \[
     \text{Moles of H}_2\text{CO} = 4.500 \, \text{mol/L} \times 0.0330 \, \text{L} = 0.1485 \, \text{mol}
     \]

2. **Calculate the number of molecules of H₂CO.**

   - Use Avogadro's number: \(6.022 \times 10^{23}\) molecules/mol.
   - Multiply the moles of H₂CO by Avogadro's number to find the number of molecules:
     \[
     0.1485 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} = 8.945 \times 10^{22} \, \text{molecules}
     \]

**Conclusion:**

There are approximately \(8.945 \times 10^{22}\) molecules of H₂CO in 33.0 mL of the solution.
Transcribed Image Text:**Question:** Determine how many molecules of H₂CO are present in 33.0 mL of a 4.500 M solution of H₂CO in water. **Solution:** To solve this problem, we will use the following steps: 1. **Calculate the number of moles of H₂CO in the solution.** - **Molarity (M)** is defined as moles of solute per liter of solution. Therefore, to find the number of moles, we use the formula: \[ \text{Moles of H}_2\text{CO} = \text{Molarity} \times \text{Volume (L)} \] - Given the molarity is 4.500 M and the volume is 33.0 mL, convert the volume to liters: \[ 33.0 \, \text{mL} \times \frac{1 \, \text{L}}{1000 \, \text{mL}} = 0.0330 \, \text{L} \] - Calculate the moles: \[ \text{Moles of H}_2\text{CO} = 4.500 \, \text{mol/L} \times 0.0330 \, \text{L} = 0.1485 \, \text{mol} \] 2. **Calculate the number of molecules of H₂CO.** - Use Avogadro's number: \(6.022 \times 10^{23}\) molecules/mol. - Multiply the moles of H₂CO by Avogadro's number to find the number of molecules: \[ 0.1485 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} = 8.945 \times 10^{22} \, \text{molecules} \] **Conclusion:** There are approximately \(8.945 \times 10^{22}\) molecules of H₂CO in 33.0 mL of the solution.
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