How many moles of carbon (C) are present in 440 mg of carbon dioxide (CO_2)?

• A. 0.0010 moles
• B. 0.044 moles
• C. 0.010 moles
• D. 0.022 moles

Answer: (C)

Verified step by step guidance

1. Identify the given information: the mass of carbon dioxide (CO\_2) is 440 mg. Convert this mass into grams by dividing by 1000, since 1 g = 1000 mg.
2. Calculate the molar mass of carbon dioxide (CO\_2). Use the atomic masses: Carbon (C) = 12.01 g/mol, Oxygen (O) = 16.00 g/mol. The molar mass of CO\_2 is calculated as \$12.01 + 2 \times 16.00$ g/mol.
3. Determine the number of moles of CO\_2 by dividing the mass of CO\_2 in grams by its molar mass: \(\text{moles of CO\_2} = \frac{\text{mass of CO\_2 (g)}}{\text{molar mass of CO\_2 (g/mol)}}\).
4. Since each mole of CO\_2 contains 1 mole of carbon atoms, the moles of carbon will be equal to the moles of CO\_2 calculated.
5. Express the final answer as the number of moles of carbon present in 440 mg of CO\_2.