To find the percentage concentration of sucrose (sugar) in a solution, you can use the formula:
\[ \text{Percentage (%) } = \left( \frac{\text{mass of solute}}{\text{mass of solution}} \right) \times 100 \]
In this case:
- Mass of sucrose (solute) = 10 grams
- Mass of water (solvent) = 100 grams
First, calculate the mass of the solution. The mass of the solution is the mass of the solute plus the mass of the solvent:
\[ \text{Mass of solution} = \text{mass of sucrose} + \text{mass of water} = 10, \text{g} + 100, \text{g} = 110, \text{g} \]
Next, substitute these values into the formula:
\[ \text{Percentage (%) } = \left( \frac{10, \text{g}}{110, \text{g}} \right) \times 100 \]
\[ \text{Percentage (%) } = \left( \frac{10}{110} \right) \times 100 \approx 9.09% \]
So, the percentage concentration of sucrose in the solution is approximately 9.09%.