If compound x3p2 has a molar mass of 135 g/mol, what is the atomic weight of the unknown element x?

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22-08-2022
Chemistry

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If compound x3p2 has a molar mass of 135 g/mol, what is the atomic weight of the unknown element x?

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Yakavi Yakavi · Answer 1 · 2022-08-28T09:58:30-04:00

If compound X3P2 has a molar mass of 135 g/mol, the atomic weight of the unknown element would be 25, because,

The molar mass of a compound is determined by adding the atomic weights of the individual elements, keeping in mind that the atomic weight must also be multiplied the subscripts of each element. In the compound there are two elements, unknown element X and P, which is phosphorus. The total compound weight is 135 g/mol. Therefore this was calculated using the following steps:

⇒ 3 (atomic weight of X) + 2 (atomic weight of P) = 135 g/mol.

⇒ 3X + 2P = 135, so to solve for the atomic weight of unknown element X, the equation must be solved algebraically.

Subtract 2P from both sides: 3X = 135 - 2P,

Then divide by 3X, giving you the atomic weight of element X,

⇒ X = (135 - 2P) / 3

but, we know the atomic weight of P (phosphorous), which is 30.

Hence, X = (135 - 2 × 30) / 3

⇒ X = 75 / 3 ⇒ 25.

Therefore, the atomic weight of X is 25.

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