How many molecules are in 165 g of carbon dioxide?
The molar mass of CO2 is 44 grams per mole.
165 grams / 44 grams per mole of CO2 = 3.75 moles CO2
Using Avogadro’s law where 1 mole of substance equals
6.023 x 10^23 molecules
3.75 moles CO2 (6.023 x 10^23 molecules /mole) = 2.26 x 10^24 molecules CO2
Answer: \(22.6 \times 10^{23}\) molecules
Explanation:
To calculate the moles, we use the equation:
\(\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}\)
For \(CO_2\)
Given mass= 165 g
Molar mass of \(CO_2\) = 44 g/mol
Putting values in above equation, we get:
\(\text{Moles of}CO_2 =\frac{165g}{44g/mol}=3.75mol\)
According to avogadro's law, 1 mole of every substance weighs equal to the molecular mass and contains avogadro's number \(6.023\times 10^{23}\) of particles.
1 mole of \(CO_2\) contains =\(6.023\times 10^{23}\) molecules of \(CO_2\)
Thus 3.75 moles \(CO_2\) contains =\(\frac{6.023\times 10^{23}}{1}\times 3.75=22.6 \times 10^{23}\) molecules of \(CO_2\)
Thus there will be \(22.6 \times 10^{23}\) molecules of \(CO_2\)