Explanation:

The vapour density of a compound is defined as the ratio of the molecular weight of the compound to its density at the same temperature and pressure as compared to hydrogen.

Vapour density of (X)nO = 14

Calculating Molecular Weight:

Assuming the compound to be (X)nO, we can calculate the molecular weight of the compound using the following formula:

Molecular weight = 2 × vapour density

Molecular weight = 2 × 14 = 28

Calculating Atomic Weight:

We know that the molecular weight of (X)nO is 28.

Assuming the compound to be X2O, the molecular weight of the compound would be:

Molecular weight of X2O = (2 × atomic weight of X) + 16

Since the volume of X is half of that of oxygen, the molecular weight of X2O would be half of that of O2:

Molecular weight of X2O = 1/2 × molecular weight of O2

Molecular weight of X2O = 1/2 × 32 = 16

Substituting the value of molecular weight of X2O in the above equation, we get:

(2 × atomic weight of X) + 16 = 16

2 × atomic weight of X = 0

Atomic weight of X = 0/2 = 0

Therefore, it is not possible to determine the atomic weight of X as it is zero, which is not possible for any element.

Conclusion:

The given information is insufficient to determine the atomic weight of X.

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