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Determine Empirical Formula of Iron Oxide

An oxide of iron contains 69.9%69.9\% iron, its empirical formula, is:

(Given : Molar mass of Fe\text{Fe} and O\text{O} are 5656 and 16 g mol116\text{ g mol}^{-1} respectively.)

Options

A

FeO\text{FeO}

B

Fe2O3\text{Fe}_2\text{O}_3

Correct
C

Fe3O4\text{Fe}_3\text{O}_4

D

FeO3\text{FeO}_3

Step-by-Step Solution

To find the empirical formula of the oxide of iron, we first determine the mass percentages of each element present in a 100 g100\text{ g} sample of the compound:

  • Mass percentage of Iron (Fe\text{Fe}) = 69.9%69.9\%
  • Mass percentage of Oxygen (O\text{O}) = 100%69.9%=30.1%100\% - 69.9\% = 30.1\%

Next, we calculate the number of moles of each element in a 100 g100\text{ g} sample using their given molar masses (MFe=56 g mol1M_{\text{Fe}} = 56\text{ g mol}^{-1} and MO=16 g mol1M_{\text{O}} = 16\text{ g mol}^{-1}):

Moles of Fe (nFe)=69.9 g56 g mol11.248 mol\text{Moles of Fe } (n_{\text{Fe}}) = \frac{69.9\text{ g}}{56\text{ g mol}^{-1}} \approx 1.248\text{ mol}

Moles of O (nO)=30.1 g16 g mol11.881 mol\text{Moles of O } (n_{\text{O}}) = \frac{30.1\text{ g}}{16\text{ g mol}^{-1}} \approx 1.881\text{ mol}

Now, we determine the simplest molar ratio by dividing the number of moles of each element by the smallest number of moles obtained (1.2481.248):

Ratio of Fe=1.2481.248=1\text{Ratio of Fe} = \frac{1.248}{1.248} = 1

Ratio of O=1.8811.2481.5\text{Ratio of O} = \frac{1.881}{1.248} \approx 1.5

To convert this into the simplest whole number ratio, we multiply both values by 22:

Fe:O=(1×2):(1.5×2)=2:3\text{Fe} : \text{O} = (1 \times 2) : (1.5 \times 2) = 2 : 3

Thus, the empirical formula of the oxide of iron is Fe2O3\text{Fe}_2\text{O}_3.

Therefore, the correct option is B.

Determine Empirical Formula of Iron Oxide | Chemistry PYQ Solution - JEE Challenger