Anorganic compound id estimated through Dumus method and was found to evolve 6 moles of `CO_2` 4 moles of `H_(2)O` and 1 mole of nitrogen gas .The formula of the compound is :

Options

A. `C_6H_8N`
B. `C_12H_8N`
C. `C_6H_8N_2`
D. `C_12H_8N_2`

Explanation

To determine the formula of the organic compound using the information provided from the Dumas method, we will follow these steps:

### Step 1: Analyze the products formed
From the Dumas method, we have the following products:
- 6 moles of CO2
- 4 moles of H2O
- 1 mole of N2

### Step 2: Determine the number of carbon atoms
Each mole of CO2 contains one carbon atom. Therefore, if we have 6 moles of CO2, the number of carbon atoms (C) in the compound is:
\[ C = 6 \]

### Step 3: Determine the number of hydrogen atoms
Each mole of H2O contains two hydrogen atoms. Therefore, if we have 4 moles of H2O, the number of hydrogen atoms (H) in the compound is:
\[ H = 2 \times 4 = 8 \]

### Step 4: Determine the number of nitrogen atoms
From the information provided, we have 1 mole of nitrogen gas (N2). Since each mole of N2 contains 2 nitrogen atoms, the number of nitrogen atoms (N) in the compound is:
\[ N = 2 \]

### Step 5: Combine the results to form the empirical formula
Now that we have the number of each type of atom, we can write the empirical formula of the compound:
\[ C_6H_8N_2 \]

### Step 6: Identify the correct option
From the options given:
1. C6H8N
2. C12H8N
3. C6H6N2
4. C12H8N2

The correct formula we derived is C6H8N2, which corresponds to option 3.

### Final Answer:
The formula of the compound is **C6H8N2**.

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