Questions: What is the molar mass of CH4? (C = 12.01 g / mol, H = 1.008 g / mol) A. 1 g / mol C. 13.02 g / mol B. 4 g / mol D. 16.04 g / mol

What is the molar mass of CH4? (C = 12.01 g / mol, H = 1.008 g / mol) A. 1 g / mol C. 13.02 g / mol B. 4 g / mol D. 16.04 g / mol
Transcript text: What is the molar mass of $\mathrm{CH}_{4}$ ? (C $=12.01 \mathrm{~g} / \mathrm{mol}, \mathrm{H}=1.008 \mathrm{~g} / \mathrm{mol}$ ) A. $1 \mathrm{~g} / \mathrm{mol}$ C. $13.02 \mathrm{~g} / \mathrm{mol}$ B. $4 \mathrm{~g} / \mathrm{mol}$ D. $16.04 \mathrm{~g} / \mathrm{mol}$
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Solution

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Solution Steps

Step 1: Identify the Atomic Masses

The atomic masses given are:

  • Carbon (C): \(12.01 \, \text{g/mol}\)
  • Hydrogen (H): \(1.008 \, \text{g/mol}\)
Step 2: Determine the Number of Each Atom in $\mathrm{CH}_4$

Methane ($\mathrm{CH}_4$) consists of:

  • 1 Carbon atom
  • 4 Hydrogen atoms
Step 3: Calculate the Total Molar Mass

The molar mass of $\mathrm{CH}_4$ is calculated by summing the masses of all the atoms in the molecule: \[ \text{Molar mass of } \mathrm{CH}_4 = (1 \times 12.01 \, \text{g/mol}) + (4 \times 1.008 \, \text{g/mol}) \] \[ = 12.01 \, \text{g/mol} + 4.032 \, \text{g/mol} \] \[ = 16.042 \, \text{g/mol} \]

Step 4: Round to Four Significant Digits

Since the problem specifies significant digits, we round the result to four significant digits: \[ 16.042 \, \text{g/mol} \approx 16.04 \, \text{g/mol} \]

Final Answer

\[ \boxed{16.04 \, \text{g/mol}} \] The answer is D.

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