Question

The mass of solute per 100 mL of solution is abbreviated as (m/v). Mass is not technically the same thing as weight, but the abbreviation (w/v) is also common. How many grams of sucrose are needed to make 725 mL of a 35.0% (w/v) sucrose solution?

Answer 1

`\boxed{\text{254 g}}`

Step-by-step explanation:

`\begin{array}{rcl}\text{\% m/V} & = & \frac{\text{Mass of sucrose}}{\text{Volume of solution}}\\\\\text{Let m}& = &\text{mass of sucrose}\\\frac{\text{35.0 g}}{\text{100 mL}}& = & \frac{m}{\text{725 mL}}\\\\m & = &\frac{\text{35.0 g}* 725}{100}\\\\ & = &\textbf{254 g}\\\end{array}\\\text{You need $\boxed{\textbf{254 g}}$ of sucrose}`