Empirical formula of a compound is `A_(2)B_(4)`. If its empirical formula weight is half of its vapour density, determine the molecular formula of the compound.

Options

A. `A_(4)B_(8)`
B. `A_(8)B_(16)`
C. `A_(2)B_(4)`
D. `A_(3)B_(6)`

Explanation

To determine the molecular formula of the compound given its empirical formula \( A_2B_4 \) and the relationship between its empirical formula weight and vapor density, we can follow these steps:

### Step 1: Understand the relationship between vapor density and molecular weight
The molecular weight (MW) of a gas is related to its vapor density (VD) by the formula:
\[ \text{Molecular Weight} = 2 \times \text{Vapor Density} \]

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