Final answer:
The mass of 4.49 x 10¹¹ CO₂ molecules is calculated by converting the number of molecules to moles, and then using the molar mass of CO₂, resulting in a mass of 3.282 x 10⁻¹⁴ grams CO₂.
Step-by-step explanation:
The question asks for the mass of 4.49 x 10¹¹ carbon dioxide, CO₂, molecules. To calculate this mass, we can use the molar mass of CO₂. The molecular mass of carbon dioxide is 44.01 amu, which means one mole (Avogadro's number, 6.022 x 10²³) of CO₂ molecules has a mass of 44.01 grams.
First, let's convert the number of molecules to moles:
4.49 x 10¹¹ molecules CO₂ × (1 mole/6.022 x 10²³ molecules) = 7.457 x 10⁻¹⁵ moles CO₂
Now, calculate the mass:
7.457 x 10⁻¹⁵ moles CO₂ × 44.01 g/mol = 3.282 x 10⁻¹⁴ grams CO₂