1. Find the molar mass of CO₂:
* Carbon (C): 12.01 g/mol
* Oxygen (O): 16.00 g/mol (and we have two oxygen atoms)
* Total molar mass of CO₂: 12.01 + (16.00 x 2) = 44.01 g/mol
2. Convert grams to moles:
* Moles = (mass in grams) / (molar mass)
* Moles of CO₂ = 1.0 g / 44.01 g/mol = 0.0227 mol
3. Use Avogadro's number to find the number of molecules:
* Avogadro's number: 6.022 x 10²³ molecules/mol
* Number of CO₂ molecules = (moles of CO₂) x (Avogadro's number)
* Number of CO₂ molecules = 0.0227 mol x 6.022 x 10²³ molecules/mol
* Number of CO₂ molecules ≈ 1.37 x 10²² molecules
Therefore, there are approximately 1.37 x 10²² molecules of carbon dioxide in 1.0 gram of the gas.
