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What is the molar mass of \( \mathrm{CH}_{3} \mathrm{OH} \) ? (Two decimal places, not units)

Ask by Vaughan Johnson. in the United States
Feb 03,2025

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Answer

The molar mass of \( \mathrm{CH}_{3} \mathrm{OH} \) is 32.04 g/mol.

Solution

To find the molar mass of \( \mathrm{CH}_{3} \mathrm{OH} \), we need to calculate the sum of the atomic masses of all the atoms in the molecule. The atomic masses of the elements in the molecule are: - Carbon (C): 12.01 g/mol - Hydrogen (H): 1.008 g/mol - Oxygen (O): 16.00 g/mol The molecular formula of \( \mathrm{CH}_{3} \mathrm{OH} \) is: - 1 Carbon atom - 4 Hydrogen atoms - 1 Oxygen atom Now, we can calculate the molar mass of \( \mathrm{CH}_{3} \mathrm{OH} \) by summing the atomic masses of all the atoms in the molecule: Molar mass of \( \mathrm{CH}_{3} \mathrm{OH} \) = (1 * 12.01) + (4 * 1.008) + (1 * 16.00) Let's calculate this. Calculate the value by following steps: - step0: Calculate: \(\left(1\times 12.01\right)+\left(4\times 1.008\right)+\left(1\times 16\right)\) - step1: Multiply: \(12.01+\left(4\times 1.008\right)+\left(1\times 16\right)\) - step2: Multiply the numbers: \(12.01+4.032+\left(1\times 16\right)\) - step3: Calculate: \(12.01+4.032+16\) - step4: Add the numbers: \(32.042\) The molar mass of \( \mathrm{CH}_{3} \mathrm{OH} \) is approximately 32.04 g/mol.

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To find the molar mass of \( \mathrm{CH}_{3} \mathrm{OH} \) (methanol), we sum the atomic masses of each atom in the molecule. Carbon (C) has a molar mass of about 12.01 g/mol, hydrogen (H) has about 1.01 g/mol, and oxygen (O) has about 16.00 g/mol. The formula \( \mathrm{CH}_{3} \mathrm{OH} \) contains 1 carbon, 4 hydrogens, and 1 oxygen: \[ \text{Molar Mass} = (1 \times 12.01) + (4 \times 1.01) + (1 \times 16.00) = 12.01 + 4.04 + 16.00 = 32.05 \] So, the molar mass of \( \mathrm{CH}_{3} \mathrm{OH} \) is 32.05. Did you know that methanol is also known as wood alcohol because it was originally produced from the destructive distillation of wood? It's one of the simplest alcohols and has both industrial applications and potential in renewable energy solutions! Methanol is not just a useful solvent; it also serves as an important fuel source in the world of energy. It's even being experimented with as a potential fuel for vehicles and in fuel cells! So, next time you're thinking about energy sources, remember that this small molecule packs a big punch!

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