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

To convert \( 3.5 \times 10^{25} \) molecules of carbon dioxide (CO₂) to grams, follow these steps: ### 1. **Determine the Number of Moles** Use Avogadro's number, which is \( 6.022 \times 10^{23} \) molecules/mol, to convert molecules to moles: \[ \text{Moles of CO}_2 = \frac{3.5 \times 10^{25} \text{ molecules}}{6.022 \times 10^{23} \text{ molecules/mol}} \approx 58.12 \text{ mol} \] ### 2. **Calculate the Molar Mass of CO₂** Carbon dioxide (CO₂) consists of one carbon atom and two oxygen atoms. - **Carbon (C):** \( 12.01 \text{ g/mol} \) - **Oxygen (O):** \( 16.00 \text{ g/mol} \) × 2 = \( 32.00 \text{ g/mol} \) \[ \text{Molar Mass of CO}_2 = 12.01 \text{ g/mol} + 32.00 \text{ g/mol} = 44.01 \text{ g/mol} \] ### 3. **Convert Moles to Grams** Multiply the number of moles by the molar mass to find the mass in grams: \[ \text{Mass of CO}_2 = 58.12 \text{ mol} \times 44.01 \text{ g/mol} \approx 2554 \text{ g} \] ### **Final Answer** \( 3.5 \times 10^{25} \) molecules of carbon dioxide is equal to approximately **2.55 × 10³ grams**.