Questions: How many grams of carbon are in 392.9 g of carbon tetrachloride?

Solution Steps

Carbon tetrachloride is a chemical compound with the molecular formula $\text{CCl}_4$. This means it consists of one carbon atom and four chlorine atoms.

To find the molar mass of carbon tetrachloride, we need to sum the atomic masses of all the atoms in the formula:

• The atomic mass of carbon (C) is approximately 12.01 g/mol.
• The atomic mass of chlorine (Cl) is approximately 35.45 g/mol.

The molar mass of $\text{CCl}_4$ is calculated as follows: $$\text{Molar mass of } \text{CCl}_4 = 12.01 \, \text{g/mol} + 4 \times 35.45 \, \text{g/mol} = 153.81 \, \text{g/mol}$$

To find the mass of carbon in 392.9 g of carbon tetrachloride, we use the ratio of the molar mass of carbon to the molar mass of carbon tetrachloride: $$\text{Mass of carbon} = \left( \frac{12.01 \, \text{g/mol}}{153.81 \, \text{g/mol}} \right) \times 392.9 \, \text{g}$$

Calculating this gives: $$\text{Mass of carbon} = \left( \frac{12.01}{153.81} \right) \times 392.9 \approx 30.67 \, \text{g}$$

Final Answer