To determine how many moles are in 28 grams of CO₂, you need to use the correct conversion factor. The given options include several different conversion factors:
1. [tex]\( 1 \text{ mol} = 6.02 \times 10^{23} \)[/tex] atoms
2. [tex]\( 1 \text{ mol} = 44.01 \text{ g} \)[/tex]
3. [tex]\( 1 \text{ mol} = 22.4 \text{ L} \)[/tex]
We know that the molar mass of CO₂ (carbon dioxide) is 44.01 grams per mole. This means that 1 mole of CO₂ weighs 44.01 grams.
To find out how many moles are in 28 grams of CO₂, we can use the conversion factor [tex]\( 1 \text{ mol} = 44.01 \text{ g} \)[/tex].
First, we'll set up the conversion:
[tex]\[ \text{Number of moles} = \frac{\text{Given mass of CO₂}}{\text{Molar mass of CO₂}} \][/tex]
Substitute the given values into the formula:
[tex]\[ \text{Number of moles} = \frac{28 \text{ g}}{44.01 \text{ g/mol}} \][/tex]
This calculation yields the number of moles:
[tex]\[ \text{Number of moles} \approx 0.6362 \][/tex]
Thus, the correct conversion factor to use in this context is [tex]\( 1 \text{ mol} = 44.01 \text{ g} \)[/tex].
