X and Y are two different elements havaing their atomic masses in `1:2` ratio. The gompound formed by the combination of X and Y contains `50%` of X by weight. The emperical formula of the compound is

Options

A. `X_(2)Y`
B. `XY_(2)`
C. XY
D. `X_(4)Y`

Explanation

To find the empirical formula of the compound formed by elements X and Y, we can follow these steps:

### Step 1: Determine the Atomic Masses
Given that the atomic masses of elements X and Y are in the ratio of 1:2, we can assign:
- Atomic mass of X = 1 unit
- Atomic mass of Y = 2 units

### Step 2: Calculate the Weight Percentages
We know that the compound contains 50% of X by weight. Therefore, the weight of Y in the compound can be calculated as follows:
- Since the compound is made up of X and Y, the weight percentage of Y = 100% - 50% = 50%.

### Step 3: Calculate Moles of X and Y
To find the empirical formula, we need to convert the weight percentages into moles:
- Moles of X = (Weight % of X) / (Atomic mass of X) = 50 g / 1 g/mol = 50 moles
- Moles of Y = (Weight % of Y) / (Atomic mass of Y) = 50 g / 2 g/mol = 25 moles

### Step 4: Find the Simplest Ratio
Next, we need to find the simplest whole number ratio of moles of X to moles of Y:
- The ratio of moles of X to moles of Y = 50 moles of X : 25 moles of Y = 50/25 : 25/25 = 2 : 1

### Step 5: Write the Empirical Formula
From the simplest ratio, we can write the empirical formula:
- The empirical formula is X₂Y.

### Final Answer
The empirical formula of the compound is **X₂Y**.

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