What will be the mass percentage of aspirin `(C_(9)H_(8)O_(4))` in acetonitrile `(CH_(3)CN)` when 6.5 g of `C_(9)H_(8)O_(4)` is dissolved in 450 g of `CH_(3)CN` ?

Options

A. `2.848 %`
B. `1.424 %`
C. `14.24%`
D. `28.48%`

Answer

To find the mass percentage of aspirin (C₉H₈O₄) in acetonitrile (CH₃CN), we can follow these steps:

### Step 1: Identify the mass of aspirin and acetonitrile
- Mass of aspirin (C₉H₈O₄) = 6.5 g
- Mass of acetonitrile (CH₃CN) = 450 g

### Step 2: Calculate the total mass of the solution
The total mass of the solution is the sum of the mass of aspirin and the mass of acetonitrile.

\[ \text{Total mass of solution} = \text{mass of aspirin} + \text{mass of acetonitrile} \]

\[ \text{Total mass of solution} = 6.5 \, \text{g} + 450 \, \text{g} = 456.5 \, \text{g} \]

### Step 3: Use the mass percentage formula
The formula for mass percentage is given by:

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

Here, the solute is aspirin.

### Step 4: Substitute the values into the formula
Now, we can substitute the mass of aspirin and the total mass of the solution into the formula:

\[ \text{Mass percentage of aspirin} = \left( \frac{6.5 \, \text{g}}{456.5 \, \text{g}} \right) \times 100 \]

### Step 5: Calculate the mass percentage
Now, calculate the value:

\[ \text{Mass percentage of aspirin} = \left( \frac{6.5}{456.5} \right) \times 100 \approx 1.424\% \]

### Final Answer
The mass percentage of aspirin in acetonitrile is approximately **1.424%**.

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