What is the value of n if molecular mass is 348 and empirical formula of compound is `C_2H_2O_2` ?

Options

A. 2
B. 6
C. 9
D. 10

Explanation

To find the value of \( n \) given the molecular mass and the empirical formula, follow these steps:

### Step 1: Calculate the molar mass of the empirical formula
The empirical formula given is \( C_2H_2O_2 \). We need to calculate its molar mass.

- Carbon (C): 2 atoms × 12 g/mol = 24 g/mol
- Hydrogen (H): 2 atoms × 1 g/mol = 2 g/mol
- Oxygen (O): 2 atoms × 16 g/mol = 32 g/mol

Now, add these values together:
\[ \text{Molar mass of } C_2H_2O_2 = 24 + 2 + 32 = 58 \text{ g/mol} \]

### Step 2: Use the molecular mass to find \( n \)
The molecular mass is given as 348 g/mol. To find \( n \), we divide the molecular mass by the molar mass of the empirical formula:
\[ n = \frac{\text{Molecular mass}}{\text{Molar mass of empirical formula}} = \frac{348}{58} \]

### Step 3: Perform the division
Calculating the above expression:
\[ n = \frac{348}{58} = 6 \]

### Conclusion
Thus, the value of \( n \) is \( 6 \).