How many molecules are in 44 grams of carbon dioxide?

$6.02\cdot10^{23}$

Explanation

To determine how many molecules are in 44 grams of CO2 (carbon dioxide), follow these steps:

1. Calculate the molar mass of CO2:

   • Carbon (C) has an atomic mass of approximately 12 g/mol.
   • Oxygen (O) has an atomic mass of approximately 16 g/mol.
   • CO₂ has one carbon atom and two oxygen atoms.
   • Molar mass of CO₂ = 12 g/mol (for C) + 2 x 15 g/mol (for O) = 12 + 32 = 44 g/mol
2. Determine the number of moles in 44 grams of CO₂:
   • The number of moles is calculated by dividing the mass by the molar mass.
   • Number of moles = \(\frac{\text{mass}}{\text{molar mass}} = \frac{44 \text{ g}}{44 \text{ g/mol}} = 1 \text{ mole}\)
3. Use Avogadro's number to find the number of molecules:
   • Avogadro's number is 6.022 x 10²³ molecules per mole.
   • Number of molecules = 1 mole x 6.022 x 10²³ molecules/mole = 6.02 x 10²³ molecules

Therefore, 44 grams of CO₂ contains 6.022 x 10²³ molecules of CO₂