A solution contains 2.80 moles of acetone `(CH_(3) COCH)_(3))` and 8.20 mole of `CHCl_(3)`. Calculate the mole fraction of acetone.

Explanation

To calculate the mole fraction of acetone in the solution, we can follow these steps:

### Step 1: Identify the number of moles of each component
- Moles of acetone (CH₃COCH₃) = 2.80 moles
- Moles of CHCl₃ = 8.20 moles

### Step 2: Calculate the total number of moles in the solution
Total moles = Moles of acetone + Moles of CHCl₃
Total moles = 2.80 moles + 8.20 moles
Total moles = 11.00 moles

### Step 3: Calculate the mole fraction of acetone
The mole fraction of a component is calculated using the formula:
\[ \text{Mole Fraction of Acetone} = \frac{\text{Moles of Acetone}}{\text{Total Moles}} \]

Substituting the values:
\[ \text{Mole Fraction of Acetone} = \frac{2.80}{11.00} \]

### Step 4: Perform the calculation
\[ \text{Mole Fraction of Acetone} = 0.2545 \]

### Step 5: Round the result
Rounding to three decimal places, the mole fraction of acetone is approximately:
\[ \text{Mole Fraction of Acetone} \approx 0.255 \]

### Final Answer
The mole fraction of acetone in the solution is **0.255**.

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