An analysis shows that 5.85g of chromium metal combines with oxygen to form 8.62g of chromium oxide. What is the empirical formula of the compound? Please help!!

2 answers

find the moles of chromium ... (sample mass) / (molar mass)

find the mass of oxygen ... (chromium oxide mass) - (chromium metal mass)

find the moles of oxygen ... (mass of oxygen) / (molar mass of oxygen)

find the LCM of the moles
... empirical formula is the ratio of the moles
I do this a slightly different way than R_Scott as follows:
% Cr = (5.85/8.62)*100 = about 67.86
% O = 100% - 67.86 = about 32.14
g Cr = 67.86
g O = 32.14
mols Cr = 67.86/52 = about 1.3
mols O = 32.14/16 = about 2.0
Divide both numbers by the smaller; i.e., by 1.3 like this
1.3/1.3 = 1
2.0/1.3 = 1.54 and that 4 is not significant.
You want whole numbers so multiply by an integer to obtain whole numbers. Multiplying by 2 gives Cr = 2 and O = 3.08 and this rounds to 2:3 so the empirical formula is Cr2O3.