An iron ore was analyzed by dissolving a 1.1324-9 sample in concentrated HCl. The resulting solution was diluted with water, and the iron(III) was precipitated as the hydrous oxide Fe, o, xH,O by the addition of NH,. After filtration and washing, the residue was ignited at a high temperature to give 0.5394 g of pure Fe,O, (159.69 g/mol). Calculate (a) the % Fe (55.847 g/mol) and (b) the % Fe, (231.54 g/mol) in the sample