Answer :
Final Answer:
The molecular mass of the compound M₂(XO₂)₂ is 206.2 amu.
Explanation:
The molecular mass of a compound is the sum of the atomic masses of all the atoms in its formula. In this case, the compound M₂(XO₂)₂ consists of two M atoms and four O atoms.
Calculate the atomic mass of XO₂:
Atomic mass of X = 24.6 amu
Atomic mass of O = 16.0 amu
Total atomic mass of XO₂ = 24.6 + 2(16.0) = 24.6 + 32.0 = 56.6 amu
Calculate the molecular mass of M₂(XO₂)₂:
Since there are two M atoms, the total contribution of M atoms to the molecular mass is 2(39.3) = 78.6 amu.
Since there are two XO₂ groups, the total contribution of XO₂ groups to the molecular mass is 2(56.6) = 113.2 amu.
Add the contributions from M atoms and XO₂ groups to get the molecular mass: 78.6 + 113.2 = 191.8 amu.
Therefore, the molecular mass of the compound M₂(XO₂)₂ is 191.8 amu.
