15g of methyl alcohol is present in 100 mL of solution. If the density of solution is `0.96 "g mL"^(-1)`, calculate the mass percentage of methyl alcohol in solution.

Answer

To find the mass percentage of methyl alcohol in the solution, we can follow these steps:

### Step 1: Calculate the mass of the solution
Given that the density of the solution is 0.96 g/mL and the volume of the solution is 100 mL, we can calculate the mass of the solution using the formula:

\[ \text{Mass of solution} = \text{Density} \times \text{Volume} \]

Substituting the values:

\[ \text{Mass of solution} = 0.96 \, \text{g/mL} \times 100 \, \text{mL} = 96 \, \text{g} \]

### Step 2: Identify the mass of the solute
The mass of the solute (methyl alcohol) is given as 15 g.

### Step 3: Calculate the mass percentage of the solute in the solution
The mass percentage of the solute in the solution can be calculated using the formula:

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

Substituting the values we have:

\[ \text{Mass percentage} = \left( \frac{15 \, \text{g}}{96 \, \text{g}} \right) \times 100 \]

Calculating this gives:

\[ \text{Mass percentage} = \left( 0.15625 \right) \times 100 = 15.625\% \]

### Final Answer
The mass percentage of methyl alcohol in the solution is **15.625%**.

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