Question

How many molecules of aspartame are present in 2.00mg of aspartame?

Answer 1

first of all, we need to convert the weight into international standard

2.00 mg  =   0.002 g

Then, we should divide the molecular weight with the Avogadro number

0.002 g / 294.3 g.mole    = 0.0000068 Moles

hope this helps

Answer 2

Answer: The number of molecules in given amount of aspartame is $4.089\times 10^{18}$

Explanation:

To calculate the number of moles, we use the equation:

$\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}$

Given mass of aspartame = 2.00 mg = 0.002 g   (Conversion factor:  1 g = 1000 mg)

Molar mass of aspartame = 294.3 g/mol

Putting values in above equation, we get:

$\text{Moles of aspartame}=\frac{0.002g}{294.3g/mol}=6.79\times 10^{-6}mol$

According to mole concept:

1 mole of a compound contains $6.022\time 10^{23}$ number of molecules.

So, $6.79\times 10^{-6}mol$ of aspartame will contain = $6.79\times 10^{-6}\times 6.022\times 10^{23}=4.089\times 10^{18}$ number of molecules.

Hence, the number of molecules in given amount of aspartame is $4.089\times 10^{18}$