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

Options

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

Explanation

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

### Step 1: Identify the masses of solute and solvent
- **Mass of solute (sucrose)** = 18 g
- **Mass of solvent (water)** = 162 g

### Step 2: Calculate the total mass of the solution
The total mass of the solution is the sum of the mass of the solute and the mass of the solvent.
\[ \text{Total mass of solution} = \text{Mass of solute} + \text{Mass of solvent} \]
\[ \text{Total mass of solution} = 18 \, \text{g} + 162 \, \text{g} = 180 \, \text{g} \]

### Step 3: Use the mass percentage formula
The mass percentage of the solution can be calculated using the formula:
\[ \text{Mass percentage} = \left( \frac{\text{Mass of solute}}{\text{Total mass of solution}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Mass percentage} = \left( \frac{18 \, \text{g}}{180 \, \text{g}} \right) \times 100 \]

### Step 4: Perform the calculation
Now, calculate the fraction:
\[ \frac{18}{180} = 0.1 \]
Then multiply by 100 to get the percentage:
\[ \text{Mass percentage} = 0.1 \times 100 = 10\% \]

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

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