Answer:
Chemical formula for the black iron oxide sample is FeO
Step-by-step explanation:
Given:
Mass ratio of black iron oxide sample, Fe/O = 3.491
To determine:
The chemical formula
Calculation:
The mass ratio is Fe:O = 3.491 : 1
Mass of Fe = 3.491 g
Mass of O = 1.000 g
Atomic mass of Fe =55.85 g/mol
Atomic mass of O = 16.00 g/mol

Therefore, the molar ratio of Fe:O = 1:1
Hence, chemical formula is FeO