`0.2 g` of organic compound containing carbon, hydrogen and oxygen on combustion yielded `0.147 g CO_(2)` and `0.12 g` water. What will be the content of oxygen in the substance?

Options

A. `78.45%`
B. `73.295%`
C. `83.23%`
D. `89.50%`

Explanation

To find the content of oxygen in the organic compound, we can follow these steps:

### Step 1: Calculate the mass of carbon in the organic compound.
We know that the mass of carbon dioxide (CO₂) produced is `0.147 g`. The molar mass of CO₂ is `44 g/mol`, and it contains `12 g` of carbon per `44 g` of CO₂.

Using the ratio of carbon in CO₂:
\[ \text{Mass of Carbon} = \left(\frac{12 \text{ g}}{44 \text{ g}}\right) \times 0.147 \text{ g} = 0.04009 \text{ g} \]

### Step 2: Calculate the mass of hydrogen in the organic compound.
The mass of water (H₂O) produced is `0.12 g`. The molar mass of water is `18 g/mol`, and it contains `2 g` of hydrogen per `18 g` of water.

Using the ratio of hydrogen in water:
\[ \text{Mass of Hydrogen} = \left(\frac{2 \text{ g}}{18 \text{ g}}\right) \times 0.12 \text{ g} = 0.01333 \text{ g} \]

### Step 3: Calculate the total mass of carbon and hydrogen.
Now we can sum the masses of carbon and hydrogen:
\[ \text{Total Mass of C and H} = \text{Mass of Carbon} + \text{Mass of Hydrogen} = 0.04009 \text{ g} + 0.01333 \text{ g} = 0.05342 \text{ g} \]

### Step 4: Calculate the mass of oxygen in the organic compound.
The total mass of the organic compound is `0.2 g`. Therefore, the mass of oxygen can be calculated as:
\[ \text{Mass of Oxygen} = \text{Total Mass of Organic Compound} - \text{Total Mass of C and H} = 0.2 \text{ g} - 0.05342 \text{ g} = 0.14658 \text{ g} \]

### Step 5: Calculate the percentage of oxygen in the organic compound.
To find the percentage of oxygen, we use the formula:
\[ \text{Percentage of Oxygen} = \left(\frac{\text{Mass of Oxygen}}{\text{Total Mass of Organic Compound}}\right) \times 100 \]
Substituting the values:
\[ \text{Percentage of Oxygen} = \left(\frac{0.14658 \text{ g}}{0.2 \text{ g}}\right) \times 100 \approx 73.29\% \]

### Final Answer:
The content of oxygen in the organic compound is approximately **73.29%**.

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