Which of the following is the empirical formula of `C_6H_6` ?

Options

A. CH
B. `C_2H_2`
C. `C_6H_6`
D. None of these

Answer

To determine the empirical formula of \( C_6H_6 \), we need to follow these steps:

### Step 1: Understand the Molecular Formula
The molecular formula given is \( C_6H_6 \). This indicates that there are 6 carbon (C) atoms and 6 hydrogen (H) atoms in the compound.

### Step 2: Find the Greatest Common Divisor (GCD)
To find the empirical formula, we need to simplify the ratio of the number of atoms of each element in the molecular formula. We look for the greatest common divisor (GCD) of the subscripts in the molecular formula.

- The number of carbon atoms = 6
- The number of hydrogen atoms = 6

The GCD of 6 and 6 is 6.

### Step 3: Divide the Subscripts by the GCD
Now, we divide the number of atoms of each element by the GCD:

- For Carbon: \( \frac{6}{6} = 1 \)
- For Hydrogen: \( \frac{6}{6} = 1 \)

### Step 4: Write the Empirical Formula
The empirical formula is written using the simplified ratios obtained from the previous step. Since both elements have a ratio of 1, the empirical formula is:

\[ CH \]

### Conclusion
The empirical formula of \( C_6H_6 \) is \( CH \).

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