0.465 g of an organic substance gave on combustion 1.32 g of `CO_(2)` and 0.315g of `H_(2)O`. Calculate the percentage of carbon and hydrogen in the compound.

Answer

To calculate the percentage of carbon and hydrogen in the organic compound, we will follow these steps:

### Step 1: Calculate the mass of carbon from CO2
1. We know that the molar mass of CO2 is 44 g/mol (12 g/mol for carbon and 32 g/mol for oxygen).
2. From the combustion, we have 1.32 g of CO2.
3. The mass of carbon in CO2 can be calculated using the ratio of the molar mass of carbon to the molar mass of CO2:
\[ \text{Mass of Carbon} = \left(\frac{12 \text{ g/mol}}{44 \text{ g/mol}}\right) \times 1.32 \text{ g} \]
\[ \text{Mass of Carbon} = 0.36 \text{ g} \]

### Step 2: Calculate the mass of hydrogen from H2O
1. The molar mass of H2O is 18 g/mol (2 g/mol for hydrogen and 16 g/mol for oxygen).
2. From the combustion, we have 0.315 g of H2O.
3. The mass of hydrogen in H2O can be calculated using the ratio of the molar mass of hydrogen to the molar mass of H2O:
\[ \text{Mass of Hydrogen} = \left(\frac{2 \text{ g/mol}}{18 \text{ g/mol}}\right) \times 0.315 \text{ g} \]
\[ \text{Mass of Hydrogen} = 0.035 \text{ g} \]

### Step 3: Calculate the percentage of carbon in the organic compound
1. The percentage of carbon can be calculated using the formula:
\[ \text{Percentage of Carbon} = \left(\frac{\text{Mass of Carbon}}{\text{Mass of Organic Compound}}\right) \times 100 \]
\[ \text{Percentage of Carbon} = \left(\frac{0.36 \text{ g}}{0.465 \text{ g}}\right) \times 100 \approx 77.42\% \]

### Step 4: Calculate the percentage of hydrogen in the organic compound
1. The percentage of hydrogen can be calculated using the formula:
\[ \text{Percentage of Hydrogen} = \left(\frac{\text{Mass of Hydrogen}}{\text{Mass of Organic Compound}}\right) \times 100 \]
\[ \text{Percentage of Hydrogen} = \left(\frac{0.035 \text{ g}}{0.465 \text{ g}}\right) \times 100 \approx 7.53\% \]

### Final Results
- **Percentage of Carbon**: 77.42%
- **Percentage of Hydrogen**: 7.53%