The mass percentage by volume of 5g of sugar dissolved in 250ml of solution is 2%.
Understanding Mass/Volume Percentage
Mass/volume percentage (% m/v) is a common way to express the concentration of a solution, particularly in fields like chemistry and medicine. It represents the mass of the solute (in grams) present in 100 milliliters of the final solution. This metric is useful when the solute is a solid and the solvent is a liquid, providing a straightforward measure of how much solute is packed into a given volume of solution.
Formula for Calculation
The formula to calculate the mass/volume percentage is:
$$ \text{Mass/Volume Percentage (% m/v)} = \left( \frac{\text{Mass of Solute (g)}}{\text{Volume of Solution (mL)}} \right) \times 100\% $$
Step-by-Step Calculation
To determine the mass percentage by volume for 5g of sugar dissolved in 250ml of solution, we apply the formula using the given values:
- Identify the Mass of Solute: The amount of sugar (solute) is 5 grams.
- Identify the Volume of Solution: The total volume of the solution is 250 milliliters.
- Apply the Formula:
$$ \text{Mass/Volume Percentage} = \left( \frac{5 \text{ g}}{250 \text{ mL}} \right) \times 100\% $$ - Perform the Calculation:
$$ \text{Mass/Volume Percentage} = (0.02) \times 100\% $$
$$ \text{Mass/Volume Percentage} = \textbf{2\%} $$
Summary of Results
This table summarizes the inputs and the calculated mass percentage by volume:
| Component | Value | Unit |
|---|---|---|
| Mass of Solute | 5 | g |
| Volume of Solution | 250 | mL |
| Mass/Volume Percentage | 2 | % |
This means that for every 100 mL of this sugar solution, there are 2 grams of sugar present. This concentration measure is easy to interpret and apply in practical scenarios, such as preparing solutions for experiments or medical applications.
