Calculate the mass in grams of 3.65 x 1024 molecules of methanol. The chemical formula for methanol is CH O. g mass:

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**Calculate the Mass in Grams of Methanol**

Given:

- **Number of molecules:** \(3.65 \times 10^{24}\) molecules of methanol.
- **Chemical formula for methanol:** \(CH_4O\).

**Objective:**

Calculate the mass in grams.

**Mass:**

\[ \underline{\qquad\qquad\qquad} \text{ g} \] 

**Explanation:**

To calculate the mass:

1. **Determine molar mass** of methanol (\(CH_4O\)):
   - Carbon (C): 12.01 g/mol
   - Hydrogen (H): 1.01 g/mol × 4 = 4.04 g/mol
   - Oxygen (O): 16.00 g/mol
   - Total molar mass of \(CH_4O\): 12.01 + 4.04 + 16.00 = 32.05 g/mol

2. **Use Avogadro's number** (\(6.022 \times 10^{23}\)) to convert molecules to moles.

3. **Mass calculation:**
   \[
   \text{Moles of methanol} = \frac{3.65 \times 10^{24}}{6.022 \times 10^{23}} = \text{approximately 6.06 moles}
   \]
   
   \[
   \text{Mass} = \text{moles} \times \text{molar mass} = 6.06 \times 32.05 = \text{approximately 194.4 g}
   \]

Insert the calculated mass into the provided space.
Transcribed Image Text:**Calculate the Mass in Grams of Methanol** Given: - **Number of molecules:** \(3.65 \times 10^{24}\) molecules of methanol. - **Chemical formula for methanol:** \(CH_4O\). **Objective:** Calculate the mass in grams. **Mass:** \[ \underline{\qquad\qquad\qquad} \text{ g} \] **Explanation:** To calculate the mass: 1. **Determine molar mass** of methanol (\(CH_4O\)): - Carbon (C): 12.01 g/mol - Hydrogen (H): 1.01 g/mol × 4 = 4.04 g/mol - Oxygen (O): 16.00 g/mol - Total molar mass of \(CH_4O\): 12.01 + 4.04 + 16.00 = 32.05 g/mol 2. **Use Avogadro's number** (\(6.022 \times 10^{23}\)) to convert molecules to moles. 3. **Mass calculation:** \[ \text{Moles of methanol} = \frac{3.65 \times 10^{24}}{6.022 \times 10^{23}} = \text{approximately 6.06 moles} \] \[ \text{Mass} = \text{moles} \times \text{molar mass} = 6.06 \times 32.05 = \text{approximately 194.4 g} \] Insert the calculated mass into the provided space.
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