Question:

The composition of a sample of wustite is $Fe _{0.93} O$. What percentage of the iron is present in the form of Fe (III)?

Updated On: Jul 27, 2022
  • $5\%$
  • $7.08\%$
  • $15.05\%$
  • $23.6\%$
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The Correct Option is C

Solution and Explanation

In pure iron oxide $(FeO)$, iron and oxygen are present in the ratio $1: 1$. However, here number of $Fe ^{2+}$ present $=0.93$ Or No. of $Fe ^{2+}$ ions missing $=0.07$ Since each $Fe ^{2+}$ ion has $2$ positive charge, the total number of charge due to missing $( 0.07 ) Fe ^{2+}$ ions $=0.07 \times 2=0.14$ To maintain electrical neutrality, $0.14$ positive charge is compensated by the presence of $Fe ^{3+}$ ions. Now since, replacement of one $Fe ^{2+}$ ion by one $Fe ^{3+}$ ion increases one positive charge, $0.14$ positive charge must be compensated by the presence of $0.14 \,Fe ^{3+}$ ions. In short, $0.93\, Fe ^{2+}$ ions have $0.14\, Fe ^{3+}$ ions $100 \,Fe ^{2+}$ ions have $=\frac{0.14}{0.93} \times 100=15.05 \%$
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Concepts Used:

Stoichiometry

Stoichiometry is founded on the law of conservation of mass where the total mass of the reactants equals the total mass of the products, leading to the insight that the relations among quantities of reactants and products typically form a ratio of positive integers. This means that if the amounts of the separate reactants are known, then the amount of the product can be calculated. Conversely, if one reactant has a known quantity and the quantity of the products can be empirically determined, then the amount of the other reactants can also be calculated.

Stoichiometry helps us determine how much substance is needed or is present. Things that can be measured are;

  1. Reactants and Products mass
  2. Molecular weight
  3. Chemical equations
  4. Formulas

​​Stoichiometric Coefficient

The Stoichiometric coefficient of any given component is the number of molecules and/or formula units that participate in the reaction as written.

Mole Ratios

The mass of one mole of a substance in grams is called molar mass. The molar mass of one mole of a substance is numerically equal to the atomic/molecular formula mass.