The formation constant of Cu(NH3)4^2+ is 1.25 ×10^12. What will be the equilibrium concentration

step 1 We have three parts for this question, starting with part A. The equilibrium constant for the re

The formation constant of Cu(NH3)4^2+ is 1.25 ×10^12. What...

The formation constant of $\mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{4}^{2+}$ is $1.25 \times 10^{12}$. What will be the equilibrium concentration of $\mathrm{Cu}^{2+}$ if $0.0125 \mathrm{moles}$ of $\mathrm{Cu}$ is oxidized and put into $1.0 \mathrm{~L}$ of $0.25 \mathrm{M}-\mathrm{NH}_{3}$ solution? (a) $2.5 \times 10^{-11} \mathrm{M}$ (b) $2.5 \times 10^{-13} \mathrm{M}$ (c) $4 \times 10^{-12} \mathrm{M}$ (d) 0

The formation constant of $\mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{4}^{2+}$ is $1.25 \times 10^{12}$. What will be the equilibrium concentration of $\mathrm{Cu}^{2+}$ if $0.0125 \mathrm{moles}$ of $\mathrm{Cu}$ is oxidized and put into $1.0 \mathrm{~L}$ of $0.25 \mathrm{M}-\mathrm{NH}_{3}$ solution?
(a) $2.5 \times 10^{-11} \mathrm{M}$
(b) $2.5 \times 10^{-13} \mathrm{M}$
(c) $4 \times 10^{-12} \mathrm{M}$
(d) 0

Key Concepts

Stoichiometry in Equilibrium Reactions

Stoichiometry involves the quantitative relationships between the reactants and products in a chemical reaction. In equilibrium reactions, it is used to relate the amounts of each species and to write mass balance expressions that are key to solving equilibrium concentration problems.

Approximations in Equilibrium Calculations

When dealing with reactions that have very high or very low equilibrium constants, approximations can simplify calculations by assuming nearly complete conversion of reactants or negligible amounts of certain species. This helps to focus on the dominant species in the system for easier analysis.

Chemical Equilibrium

Chemical equilibrium is the state in a reversible reaction where the rates of the forward and reverse reactions are equal, resulting in constant concentrations of reactants and products. This principle is crucial for predicting the concentrations of different species in a reaction mixture.

Coordination Complex Formation

This concept involves the creation of complexes when a central metal ion bonds with surrounding molecules or ions called ligands. It explains how the coordination of multiple ligands to a metal can result in the formation of a complex ion with unique chemical properties.

Formation Constant (Kf)

The formation constant is the equilibrium constant for the formation of a coordination complex from a metal ion and its ligands. It provides a quantitative measure of the stability of the complex, indicating how favorably the metal ion binds with the ligands under equilibrium conditions.

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