1. Determine the Molar Mass of CO2
* Carbon (C) has a molar mass of 12.01 g/mol
* Oxygen (O) has a molar mass of 16.00 g/mol
* Molar mass of CO2 = 12.01 g/mol + (2 * 16.00 g/mol) = 44.01 g/mol
2. Calculate the Moles of CO2
* We are given a 1.76 g sample of CO2.
* Moles of CO2 = (Mass of CO2) / (Molar Mass of CO2)
* Moles of CO2 = 1.76 g / 44.01 g/mol = 0.04 mol
3. Determine the Moles of O2
* The chemical formula CO2 tells us that there are 2 moles of oxygen atoms for every 1 mole of CO2.
* Moles of O atoms = 0.04 mol CO2 * (2 mol O atoms / 1 mol CO2) = 0.08 mol O atoms
4. Calculate the Number of O2 Molecules
* Avogadro's number tells us that there are 6.022 x 10^23 molecules in one mole of any substance.
* Number of O2 molecules = (Moles of O atoms) * (Avogadro's Number)
* Number of O2 molecules = 0.08 mol * (6.022 x 10^23 molecules/mol) = 4.82 x 10^22 molecules
Therefore, there are approximately 4.82 x 10^22 O2 molecules in a 1.76 g sample of CO2.