`14gm` of element `X` combine with `16gm` of oxygen. On the basis of this information, which of the following is the correct statement .

Options

A. The element 'X' could have atomic weight of 7 and its's oxide the formula `XO`
B. The element 'X' could have atomic weight of 14 and its's oxide the formula `X_(2)O`
C. The element 'X' could have atomic weight of 7 and its's oxide the formula `X_(2)O`
D. The element 'X' could have atomic weight of 14 and its's oxide the formula `X_(2)O`

Answer

To solve the problem, we need to analyze the information given about the element X and its combination with oxygen.

### Step 1: Determine the Molar Mass of Oxygen
The atomic weight (molar mass) of oxygen is given as 16 g/mol.

### Step 2: Determine the Molar Mass of Element X
We know that 14 g of element X combines with 16 g of oxygen. We can use this information to find the possible molar masses of element X.

### Step 3: Calculate the Moles of Oxygen
Using the molar mass of oxygen:
\[ \text{Moles of Oxygen} = \frac{\text{mass of oxygen}}{\text{molar mass of oxygen}} = \frac{16 \text{ g}}{16 \text{ g/mol}} = 1 \text{ mol} \]

### Step 4: Analyze the Moles of Element X
Now, we need to find out how many moles of element X are present in 14 g. We can assume two possible atomic weights for element X: 7 g/mol and 14 g/mol.

1. **If the atomic weight of X is 14 g/mol:**
\[ \text{Moles of X} = \frac{14 \text{ g}}{14 \text{ g/mol}} = 1 \text{ mol} \]
The formula of the oxide would be XO.

2. **If the atomic weight of X is 7 g/mol:**
\[ \text{Moles of X} = \frac{14 \text{ g}}{7 \text{ g/mol}} = 2 \text{ mol} \]
The formula of the oxide would be X₂O.

### Step 5: Conclusion
Based on the calculations:
- If the atomic weight of X is 14 g/mol, the formula is XO.
- If the atomic weight of X is 7 g/mol, the formula is X₂O.

Thus, both atomic weights are possible based on the given information. However, the question asks for the correct statement based on the combination of X and oxygen.

### Final Answer
The correct statement is that element X can have an atomic weight of either 7 g/mol or 14 g/mol, leading to the formation of either XO or X₂O.

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