Empirical formula - Mn³⁺₃O₄
Explanation:
Hausmannite belongs to the category of oxide minerals. Metamorphosis of manganiferous rocks results in the formation of Hausmannite. It contains both di-valent and tri-valent manganese. It is a tetragonal crystal belonging to the spinel group. It is a metallic mineral with color from brown to black. 72% mass of Hausmannite is manganese and the remaining 28% is oxygen.
It's chemical formula is Mn²⁺Mn³⁺₂O₄
The empirical formula of the Hausmannite containing 72% of manganese is Mn₃O₄
From the question given above, the following data were obtained:
Manganese (Mn) = 72%
Oxygen (O) = 100 – 72 = 28%
Divide by their molar mass
Mn = 72 / 55 = 1.309
O = 28 / 16 = 1.75
Divide by the smallest
Mn = 1.309 / 1.309 = 1
O = 1.75 / 1.309 = 1.34
Multiply by 3 to express in whole number
Mn = 1 × 3 = 3
O = 1.34 × 3 = 4
Therefore, the empirical formula of the compound is Mn₃O₄
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