18 g of sucrose is dissolved in 162 g of water. Calculate the mass percentage of solution:

Options

A. `10%`
B. `20%`
C. `15%`
D. `18%`

Explanation

To calculate the mass percentage of the solution, we will follow these steps:

### Step 1: Calculate the total mass of the solution
The total mass of the solution is the sum of the mass of sucrose and the mass of water.

\[ \text{Total mass of solution} = \text{mass of sucrose} + \text{mass of water} \]

Given:
- Mass of sucrose = 18 g
- Mass of water = 162 g

\[ \text{Total mass of solution} = 18 \, \text{g} + 162 \, \text{g} = 180 \, \text{g} \]

### Step 2: Calculate the mass percentage of sucrose in the solution
The mass percentage of a component in a solution is calculated using the formula:

\[ \text{Mass percentage} = \left( \frac{\text{mass of component}}{\text{total mass of solution}} \right) \times 100 \]

In this case, we will calculate the mass percentage of sucrose.

\[ \text{Mass percentage of sucrose} = \left( \frac{18 \, \text{g}}{180 \, \text{g}} \right) \times 100 \]

\[ \text{Mass percentage of sucrose} = \left( 0.1 \right) \times 100 = 10\% \]

### Final Answer
The mass percentage of sucrose in the solution is **10%**.

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