1. Determine the molar mass of CO2:
The molar mass of CO2 is the sum of the molar masses of one carbon atom (12.01 g/mol) and two oxygen atoms (2 x 16.00 g/mol):
Molar mass of CO2 = 12.01 g/mol + 2 x 16.00 g/mol = 44.01 g/mol
2. Convert the given mass of CO2 to moles:
Number of moles of CO2 = Mass of CO2 / Molar mass of CO2
Number of moles of CO2 = 9 g / 44.01 g/mol = 0.2045 mol
3. Avogadro's number:
Avogadro's number (Nₐ) represents the number of particles (atoms, molecules, or ions) present in one mole of a substance. It has a value of 6.022 x 10^23 particles/mol.
4. Calculate the number of molecules:
The number of molecules in 0.2045 mol of CO2 can be calculated by multiplying the number of moles by Avogadro's number:
Number of molecules = Number of moles x Avogadro's Number
Number of molecules = 0.2045 mol x 6.022 x 10^23 molecules/mol ≈ 1.23 x 10^23 molecules
Therefore, there are approximately 1.23 x 10^23 molecules in 9 g of CO2.
