What is the mass percentage of carbon tetrachloride if 22 g of benzene is dissolved in 122 g of carbon tetrachloride ?

Options

A. `84.72%`
B. `15.28%`
C. `50%`
D. `44%`

Explanation

To find the mass percentage of carbon tetrachloride (CCl₄) when 22 g of benzene is dissolved in 122 g of carbon tetrachloride, we can follow these steps:

### Step 1: Identify the mass of solute and solvent
- The mass of the solute (benzene) is given as \( W_b = 22 \, \text{g} \).
- The mass of the solvent (carbon tetrachloride) is given as \( W_a = 122 \, \text{g} \).

### 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:
\[ \text{Total mass of solution} = W_b + W_a = 22 \, \text{g} + 122 \, \text{g} = 144 \, \text{g} \]

### Step 3: Calculate the mass percentage of carbon tetrachloride
The mass percentage of carbon tetrachloride can be calculated using the formula:
\[ \text{Mass percentage of CCl}_4 = \left( \frac{\text{Mass of CCl}_4}{\text{Total mass of solution}} \right) \times 100 \]
Here, the mass of carbon tetrachloride is the mass of the solvent, which is \( W_a = 122 \, \text{g} \).

Substituting the values:
\[ \text{Mass percentage of CCl}_4 = \left( \frac{122 \, \text{g}}{144 \, \text{g}} \right) \times 100 \]

### Step 4: Perform the calculation
Calculating the fraction:
\[ \frac{122}{144} \approx 0.8472 \]
Now, converting this to a percentage:
\[ 0.8472 \times 100 \approx 84.72\% \]

### Final Answer
The mass percentage of carbon tetrachloride is approximately **84.72%**.

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