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The chemical formula for methanol is: \[ \mathrm{CH}_{3} \mathrm{OH} \] Calculate the molar mass of methanol. Round your answer to 2 decimal places.

Ask by Bowen Donnelly. in the United States
Feb 03,2025

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Tutor-Verified Answer

Answer

The molar mass of methanol is **32.04 g/mol**.

Solution

To calculate the molar mass of methanol (\(\mathrm{CH}_3\mathrm{OH}\)), you can sum the atomic masses of each element in the molecule: 1. **Identify the number of each type of atom in methanol:** - Carbon (C): 1 atom - Hydrogen (H): 4 atoms (3 from \(\mathrm{CH}_3\) and 1 from \(\mathrm{OH}\)) - Oxygen (O): 1 atom 2. **Use the standard atomic masses:** - Carbon (C): **12.01 g/mol** - Hydrogen (H): **1.008 g/mol** - Oxygen (O): **16.00 g/mol** 3. **Calculate the total mass for each element:** - Carbon: \(1 \times 12.01 = 12.01 \, \text{g/mol}\) - Hydrogen: \(4 \times 1.008 = 4.032 \, \text{g/mol}\) - Oxygen: \(1 \times 16.00 = 16.00 \, \text{g/mol}\) 4. **Add them together to find the molar mass of methanol:** \[ 12.01 \, \text{g/mol} + 4.032 \, \text{g/mol} + 16.00 \, \text{g/mol} = 32.042 \, \text{g/mol} \] 5. **Round the result to two decimal places:** \[ \boxed{32.04 \, \text{g/mol}} \]

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The Deep Dive

To calculate the molar mass of methanol \(\mathrm{CH}_{3} \mathrm{OH}\), we sum the atomic masses of each element in the formula. Carbon (C) has an atomic mass of approximately 12.01 g/mol, hydrogen (H) is about 1.01 g/mol, and oxygen (O) is around 16.00 g/mol. The formula contains: - 1 carbon atom: \(1 \times 12.01 = 12.01 \, \text{g/mol}\) - 4 hydrogen atoms: \(4 \times 1.01 = 4.04 \, \text{g/mol}\) - 1 oxygen atom: \(1 \times 16.00 = 16.00 \, \text{g/mol}\) Adding these together: \[ 12.01 + 4.04 + 16.00 = 32.05 \, \text{g/mol} \] Thus, the molar mass of methanol is \(32.05 \, \text{g/mol}\).

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