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Answer
SThe empirical formula is calculated as follows
calculate the moles of each element
moles= % composition/molar mass of element
that is iron (Fe) = 53.70/55.86 = 0.96 moles
Sulfur (s)= 46.30/32.07= 1.44 moles
calculate the mole ratio by diving each mole by smallest mole(0.96)
that is Fe = 0.96/0/96 =1
S= 1.44/0/96 = 1.5
multiply by 2 to remove decimal
that is Fe = 1 x 2 =2
S= 1.5 x2 = 3
the empirical formula is therefore = Fe2S3