Answer:
molecules
Explanation:
Data Given:
mass of aspartame = 10 g
molecules of aspartame = ?
Solution
First we calculate no. of moles of 10 g aspartame
For which mole formula will be used
no. of moles = mass in grams / molar mass . . . . . . .(1)
Formula of aspartame:
C₁₄H₁₈N₂O₅
So,
The molar mass of aspartame (C₁₄H₁₈N₂O₅) will be
molar mass of C₁₄H₁₈N₂O₅ = 14(12) + 18(1) + 2(14) +5(16)
molar mass of C₁₄H₁₈N₂O₅ = 168 + 18+ 28 + 80
molar mass of C₁₄H₁₈N₂O₅ = 294 g/mol
put values in equation 1
no. of moles = 10 g / 294 g/mol
no. of moles = 0.034 mol
now we will calculate no. of molecules
Formula will be used
no. of moles = no. of molecules / Avogadro's number
Rearrange the above equation:
no. of molecules = no. of moles x Avogadro's number . . . . . (2)
Where
Avogadro's number = 6.022 x 10²³
Put values in equation 2
no. of molecules =0.034 mol x 6.022 x 10²³ (molecules/mol)
no. of molecules = 2.0475 x 10²²
So,
There are 2.0475 x 10²² molecules are in 10 grams of aspartame that is 0.034 moles of aspartame.
So, in turn its 0.034 moles of molecules are in 10 g of aspartame.
