To calculate the number of molecules we can apply the Avogadro equation, which relates the moles of a compound to the number of molecules. The Avogadro number tells us that in one mole of any substance there are 6.022x10^23 molecules.
[tex]1mo_{}l=6.022\times10^{23}molecules[/tex]Now we must calculate the number of moles in the mass we are given. For this, we use the molar mass.
The molar mass of CO2 is 44.01 g/mol, so the moles of CO2 in 96.1 g will be:
[tex]\begin{gathered} Mo_{}lCO_2=\frac{\text{Mass of CO}_2}{Molar\text{ mass}} \\ Mo_{}lCO_2=\frac{96.1g}{44.01\frac{g}{mol}} \\ Mo_{}lCO_2=2.18\text{mol} \end{gathered}[/tex]Now we will apply Avogadro to know the number of molecules present in 2.18 moles of CO2.
[tex]\begin{gathered} \text{Number of molecules=2.18mol}\times\frac{6.022\times10^{23}molecules}{1mol} \\ \text{Number of molecules}=1.31\times10^{24}molecules \end{gathered}[/tex]So, in 96.1 g of carbon dioxide, there are 1.31x10^24 molecules
