Question

If the molarity of the sugar in the 352 mL drink is 0.3236 M, how much sugar in grams is in the drink?

Answer 1

38.95 grams

Explanation

The formula for calculating the molarity of a substance is expressed as:

`\begin{gathered} \text{molarity}=\frac{Number\text{ of moles}}{Volume} \\ \text{Number of moles = molarity }* volume \end{gathered}`

Given the following parameters:

Molarity = 0.3236 M

Volume = 352mL = 0.352dm³

Get the moles of the sugar using the formula

`\begin{gathered} \text{Number of moles = }\frac{0.3236mol}{\cancel{dm^3}}*0.352\cancel{dm^3} \\ \text{Number of moles = }0.1139\text{moles of sugar} \end{gathered}`

Next is to find the mass of the sugar present in the drink. This can be gotten using the formula below;

`\begin{gathered} moles\text{ = }\frac{mass}{molar\text{ mass}} \\ \text{mass}=\text{moles }* molar\text{ mass} \end{gathered}`

Get the molar mass of the sugar (C₁₂H₂₂O₁₁)

`\begin{gathered} \text{Molar mass = (12}*12\text{)+(1}*22\text{)+(16}*11\text{)} \\ \text{Molar mass =144+22}+176 \\ \text{Molar mass = }342\text{g/mol} \end{gathered}`

Get the required mass

`\begin{gathered} \text{Mass of sugar=0.1139mole}*\frac{342g}{\text{mole}} \\ \text{Mass of sugar = }38.95g \end{gathered}`

Hence the mass of sugar in the drink is 38.95 grams