Question

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

Answer 1

Answer: The number of molecules in given amount of aspartame is
`4.089* 10^(18)`

Step-by-step 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}=(0.002g)/(294.3g/mol)=6.79* 10^(-6)mol`

According to mole concept:

1 mole of a compound contains
`6.022\time 10^(23)` number of molecules.

So,
`6.79* 10^(-6)mol` of aspartame will contain =
`6.79* 10^(-6)* 6.022* 10^(23)=4.089* 10^(18)` number of molecules.

Hence, the number of molecules in given amount of aspartame is
`4.089* 10^(18)`

Answer 2

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