8. Convert \( 3.5 \times 10^{25} \) molecules of carbon dioxide to grams

To convert molecules of carbon dioxide to grams, we first need to know the molar mass of CO₂. Carbon dioxide consists of one carbon atom (12.01 g/mol) and two oxygen atoms (16.00 g/mol each). Thus, the molar mass of CO₂ is \( 12.01 + (2 \times 16.00) = 44.01 \) g/mol. Next, we can use Avogadro's number, which is \( 6.022 \times 10^{23} \) molecules/mol, to determine how many moles of CO₂ are in \( 3.5 \times 10^{25} \) molecules. Calculating the moles: \[ \text{moles of CO₂} = \frac{3.5 \times 10^{25} \text{ molecules}}{6.022 \times 10^{23} \text{ molecules/mol}} \approx 58.1 \text{ mol} \] Now, convert moles to grams: \[ \text{grams of CO₂} = 58.1 \text{ mol} \times 44.01 \text{ g/mol} \approx 2555 \text{ g} \] So, \( 3.5 \times 10^{25} \) molecules of carbon dioxide is approximately 2555 grams.