Consider the following reactions: 1. AB2( g)+1 / 2 B2( g) ⇌AB3( g) 2. 2 AB3( g) ⇌2 AB2+B2( g) I

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Consider the following reactions: 1. AB2( g)+1 / 2 B2( g)...

Consider the following reactions: 1. $\mathrm{AB}_2(\mathrm{~g})+1 / 2 \mathrm{~B}_2(\mathrm{~g}) \rightleftharpoons \mathrm{AB}_3(\mathrm{~g})$ 2. $2 \mathrm{AB}_3(\mathrm{~g}) \rightleftharpoons 2 \mathrm{AB}_2+\mathrm{B}_2(\mathrm{~g})$ If and $\mathrm{K}_2$ are the equilibrium constants at $27^{\circ} \mathrm{C}$ of reactions 1 and 2 respectively, then K , and $\mathrm{K}_2$ are related as (a) $\mathrm{K}_1^2=\mathrm{K}_2$ (b) $\mathrm{K}_2 \mathrm{~K}_1^*=1$ (c) $\mathrm{K}_1=2 \mathrm{~K}_2$ (d) $\mathrm{K}, \mathrm{K}_2^3=1$

Consider the following reactions:
1. $\mathrm{AB}_2(\mathrm{~g})+1 / 2 \mathrm{~B}_2(\mathrm{~g}) \rightleftharpoons \mathrm{AB}_3(\mathrm{~g})$
2. $2 \mathrm{AB}_3(\mathrm{~g}) \rightleftharpoons 2 \mathrm{AB}_2+\mathrm{B}_2(\mathrm{~g})$

If and $\mathrm{K}_2$ are the equilibrium constants at $27^{\circ} \mathrm{C}$ of reactions 1 and 2 respectively, then K , and $\mathrm{K}_2$ are related as
(a) $\mathrm{K}_1^2=\mathrm{K}_2$
(b) $\mathrm{K}_2 \mathrm{~K}_1^*=1$
(c) $\mathrm{K}_1=2 \mathrm{~K}_2$
(d) $\mathrm{K}, \mathrm{K}_2^3=1$

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Key Concepts

Equilibrium Constant

This concept refers to the ratio of the concentrations (or pressures) of products to reactants at equilibrium, each raised to the power of their stoichiometric coefficients. It quantitatively describes the position of equilibrium for a chemical reaction and indicates how far the reaction proceeds before reaching equilibrium.

Reaction Manipulation and Its Effect on Equilibrium Constants

When a chemical reaction is reversed, the new equilibrium constant becomes the reciprocal of the original. In addition, if the entire balanced reaction is multiplied by a factor, the equilibrium constant is raised to the power of that factor. These rules are essential when comparing reactions that are algebraically related, as they allow one to deduce relationships between different equilibrium constants.

Combining Reactions and Equilibrium Constant Relationships

When two or more reactions are combined to yield a net reaction, the equilibrium constant for the overall reaction is the product (or appropriate combination, following the rules of reversal and scaling) of the equilibrium constants of the individual steps. This concept is central when breaking down complex reactions into simpler steps or when comparing different reaction pathways leading to the same overall chemical change.

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