How many moles of Fe2O3 are contained in 1kg of the compound? Fe=56,O=16

Chemistry

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Answer

6.25 mol\text{6.25 mol}

Step-by-step solution

3 steps
  1. Calculate the molar mass of Fe2O3\text{Fe}_2\text{O}_3.

    The atomic mass of Fe is 56 g/mol.
    The atomic mass of O is 16 g/mol.

    Molar mass of Fe2O3=(2×atomic mass of Fe)+(3×atomic mass of O)\text{Molar mass of } \text{Fe}_2\text{O}_3 = (2 \times \text{atomic mass of Fe}) + (3 \times \text{atomic mass of O}) Molar mass of Fe2O3=(2×56 g/mol)+(3×16 g/mol)\text{Molar mass of } \text{Fe}_2\text{O}_3 = (2 \times 56 \text{ g/mol}) + (3 \times 16 \text{ g/mol}) Molar mass of Fe2O3=112 g/mol+48 g/mol\text{Molar mass of } \text{Fe}_2\text{O}_3 = 112 \text{ g/mol} + 48 \text{ g/mol} Molar mass of Fe2O3=160 g/mol\text{Molar mass of } \text{Fe}_2\text{O}_3 = 160 \text{ g/mol}
  2. Convert the given mass from kilograms to grams.

    Mass=1 kg×1000 g1 kg=1000 g\text{Mass} = 1 \text{ kg} \times \frac{1000 \text{ g}}{1 \text{ kg}} = 1000 \text{ g}
  3. Calculate the number of moles.

    Moles=MassMolar mass\text{Moles} = \frac{\text{Mass}}{\text{Molar mass}} Moles of Fe2O3=1000 g160 g/mol\text{Moles of } \text{Fe}_2\text{O}_3 = \frac{1000 \text{ g}}{160 \text{ g/mol}} Moles of Fe2O3=6.25 mol\text{Moles of } \text{Fe}_2\text{O}_3 = 6.25 \text{ mol}

    The number of moles of Fe2O3\text{Fe}_2\text{O}_3 in 1 kg of the compound is 6.25 mol\boxed{\text{6.25 mol}}.

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