Answer
Mass of a $C_{3}H_{8}O_{3}$ molecule = 1.53 x $10^{-22}$ g.
Work Step by Step
Mass of $C_{3}H_{8}O_{3}$ molecule.
Strategy: To calculate the mass of one molecule of $C_{3}H_{8}O_{3}$, we should use:1- Molar mass, that is the mass of one mole of substance 2- relationship of mole and Avogadro's number .
Molar mass of $C_{3}H_{8}O_{3}$ = 3 x12.01 + 8 x 1.007 + 3 x 15.999
Molar mass of $C_{3}H_{8}O_{3}$ = 92.083 g/mol
1 mol $C_{3}H_{8}O_{3}$ has Avogadro's number atoms that is 6.02 x $10^{23}$.
Mass of a $C_{3}H_{8}O_{3}$molecule = $\frac{molar mass_{C_{3}H_{8}O_{3}}}{Avogadro's number}$
Mass of a $C_{3}H_{8}O_{3}$ molecule = $\frac{92.083 g}{6.02 \times10^{23}}$
Mass of a $C_{3}H_{8}O_{3}$ molecule = 15.296 x $10^{-23}$ g
Mass of a $C_{3}H_{8}O_{3}$ molecule = 1.53 x $10^{-22}$ g