I. Assuming the atomic weight of a metal
M to be 56, find the empirical formula
of its oxide containing 70.0% of M.
Answers
Answer:
M2O3.
Explanation:
From the question we know that the atomic weight of metal M is given as 56 gram. Again we get that the metal oxide contains 70% of the metal, so the remaining (100-70)=30% will be the oxide present in it.
So, in 1 atom of metal if we take n atoms of oxygen then the mass proportion of the metal and the oxygen will be :-
56:n*16 = 70:30.
16n=56*30/70.
n=24/16 = 1.5. So, the whole number ratio will be 2:3.
Therefore, we get that there will be two atoms of metal against the 3 atoms of Oxygen. So, the empirical formulae will be M2O3.
Atomic weight of M = 56
Percentage of M = 70.0 %
Since, the oxide contains 70.0 % of M, the amount of oxygen will be 30.0%
The atomic weight of Oxygen = 16
1) Moles of M
= % of M / Atomic mass of M
= 70.0 / 56
= 1.25
2) Moles of O
= % of O / Atomic mass of O
= 30.0 / 16
= 1.875
Hence, the ratio of the number of moles of the metal with oxygen would be,
• For M = 1.25 / 1.25 = 1
• For O = 1.875 / 1.25 = 1.5
i.e., 2 : 3
Hence, the empirical formula of the compound would be M₂O₃.