The ferrate ion, FeO4 ^2-, is such a powerful oxidizing...

The ferrate ion, $\mathrm{FeO}_{4}{ }^{2-}$, is such a powerful oxidizing agent that in acidic solution, aqueous ammonia is reduced to elemental nitrogen along with the formation of the iron(III) ion. a. What is the oxidation state of iron in $\mathrm{FeO}_{4}{ }^{2-}$, and what is the electron configuration of iron in this polyatomic ion? b. If $25.0 \mathrm{~mL}$ of a $0.243 \mathrm{M} \mathrm{FeO}_{4}^{2-}$ solution is allowed to react with $55.0 \mathrm{~mL}$ of $1.45 M$ aqueous ammonia, what volume of nitrogen gas can form at $25^{\circ} \mathrm{C}$ and $1.50 \mathrm{~atm}$ ?

The ferrate ion, $\mathrm{FeO}_{4}{ }^{2-}$, is such a powerful oxidizing agent that in acidic solution, aqueous ammonia is reduced to elemental nitrogen along with the formation of the iron(III) ion.
a. What is the oxidation state of iron in $\mathrm{FeO}_{4}{ }^{2-}$, and what is the electron configuration of iron in this polyatomic ion? b. If $25.0 \mathrm{~mL}$ of a $0.243 \mathrm{M} \mathrm{FeO}_{4}^{2-}$ solution is allowed to react with $55.0 \mathrm{~mL}$ of $1.45 M$ aqueous ammonia, what volume of nitrogen gas can form at $25^{\circ} \mathrm{C}$ and $1.50 \mathrm{~atm}$ ?

Key Concepts

Oxidation State Determination

This concept involves assigning oxidation numbers to atoms in a chemical compound or ion based on a set of rules so that the overall charge of the species is maintained. It is crucial for understanding redox reactions and predicting how electrons are transferred during chemical transformations, such as in the ferrate ion where oxygen uniformly contributes a known oxidation number to establish the oxidation state of the central metal atom.

Electron Configuration of Transition Metals

Electron configuration in transition metals explains the arrangement of electrons in different atomic orbitals, particularly in the d-orbitals, which are central to their chemical properties and reactivity. In the context of the ferrate ion, determining the electron configuration of iron involves knowing its oxidation state and then accounting for the electrons removed in forming the ion, which directly affects its magnetic and spectral properties.

Redox Reactions

Redox (reduction-oxidation) reactions involve the transfer of electrons between species, where one species gets oxidized and another is reduced. This concept is fundamental in understanding how strong oxidizing agents like the ferrate ion can drive the reduction of other substances (e.g., the conversion of ammonia to nitrogen), balancing electron loss and gain to satisfy conservation of charge.

Stoichiometry in Chemical Reactions

Stoichiometry refers to the calculation of reactants and products in chemical reactions using the balanced chemical equation. It is used to determine the limiting reagent, convert between volumes, moles, and masses, and predict the theoretical yield of products. This is essential when quantifying the formation of nitrogen gas from the reaction between ferrate ions and ammonia.

Ideal Gas Law

The ideal gas law, given by PV = nRT, relates the pressure, volume, temperature, and number of moles of a gas. It is used to calculate the volumes of gases produced or consumed under specified conditions, making it integral to predicting the volume of nitrogen gas that forms in the reaction under given temperature and pressure conditions.

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