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QuestionChemistry

What is the empirical formula of an oxide of manganese that contains 69.6% of manganese? (Mn = 55, O = 16)
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Calculate the mass of oxygen in the compound

- If we assume 100 g of the compound, the mass of manganese would be 69.6 g - Mass of oxygen would be 100 g - 69.6 g = 30.4 g

Step 3:
: Calculate the number of moles of manganese

n_{Mn} = \frac{69.6}{55} = 1.27 \text{ mol}

Step 4:
: Calculate the number of moles of oxygen

n_{O} = \frac{30.4}{16} = 1.90 \text{ mol}

Step 5:
: Find the mole ratio by dividing by the smallest number of moles

\frac{n_{O}}{1.27} = 1.50
- Divide both mole quantities by 1.27

Step 6:
: Simplify the ratio to whole numbers

Mn : O = 2 : 3
- Multiply by 2 to get whole numbers

Final Answer

The empirical formula is Mn_{2}O_{3}.