0.48 g of a sample of a compound containing boron and oxygen contains 0.192 g of boron and 0.288 g of oxygen. What will be the percentage composition of the compound?

Options

A. 60% and 40% B and O respectively
B. 40% and 60% B and O respectively
C. 30% and 70% B and O respectively
D. 70% and 30% B and O respectively

Explanation

To find the percentage composition of the compound containing boron and oxygen, we will follow these steps:

### Step 1: Identify the given data
- Total mass of the compound = 0.48 g
- Mass of boron = 0.192 g
- Mass of oxygen = 0.288 g

### Step 2: Calculate the percentage composition of boron
To calculate the percentage composition of boron, we use the formula:

\[ \text{Percentage of Boron} = \left( \frac{\text{Mass of Boron}}{\text{Total Mass}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage of Boron} = \left( \frac{0.192 \, \text{g}}{0.48 \, \text{g}} \right) \times 100 \]

Calculating this gives:

\[ \text{Percentage of Boron} = \left( 0.4 \right) \times 100 = 40\% \]

### Step 3: Calculate the percentage composition of oxygen
To calculate the percentage composition of oxygen, we use the same formula:

\[ \text{Percentage of Oxygen} = \left( \frac{\text{Mass of Oxygen}}{\text{Total Mass}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage of Oxygen} = \left( \frac{0.288 \, \text{g}}{0.48 \, \text{g}} \right) \times 100 \]

Calculating this gives:

\[ \text{Percentage of Oxygen} = \left( 0.6 \right) \times 100 = 60\% \]

### Step 4: Present the final results
- Percentage composition of Boron = 40%
- Percentage composition of Oxygen = 60%

Thus, the percentage composition of the compound is:
- Boron: 40%
- Oxygen: 60%