Gadolinium oxide, a colorless powder which absorbs carbon dioxide from the air, contains 86.76 mass % gd. determine its empirical formula.

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 .

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