The mass % of = 86.76 % (given)
The mass % of = 100 - 86.76 = 13.24 %
Considering the mass of Gadolinium oxide as 100 g.
Then 86.76 mass % means the compound contains 86.76 g of in 100 g of Gadolinium oxide.
So, 13.24 mass % means the compound contains 13.24 g of in 100 g of Gadolinium oxide.
Using formula of number of moles:
The atomic mass of
The atomic mass of
In order to get the empirical formula, the moles are divide by the lowest value that is 0.5517.
So, the formula is , will multiply by 2 to get the whole integer.
Hence, the empirical formula is .