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 \(4.089\times 10^{18}\)
