Answer:
[tex]5.8\cdot 10^{22}[/tex]
Explanation:
Since no information was provided about the can of soda, let's take an example of 1 can of 12 fl oz (368 g) Coca-Cola.
The nutrition facts state that it contains 33 g of sugar. In order to calculate the number of molecules, we firstly need to know the molecular formula of sugar. Sugar can be represented by [tex]C_{12}H_{22}O_{11}[/tex].
Our first step is to find the molar mass of sugar:
[tex]M_{C_{12}H_{22}O_{11}} = 342.3 g/mol[/tex]
Secondly, dividing mass of sugar, [tex]m = 33 g[/tex], by the molar mass will yield the number of moles of sugar:
[tex]n_{C_{12}H_{22}O_{11}}=\frac{m}{M}[/tex]
Finally, multiplying moles by the Avogadro's constant will yield the number of molecules:
[tex]N_{C_{12}H_{22}O_{11}}=n_{C_{12}H_{22}O_{11}}\cdot N_A =\frac{m}{M} \cdot N_A = \frac{33 g}{342.3 g/mol} \cdot 6.022 \cdot 10^{23} mol^{-1} = 5.8\cdot 10^{22}[/tex]
