At certain temperature compound AB2( g) dissociates according to the reaction 2 AB2( g) ⇌2 AB( g

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At certain temperature compound AB2( g) dissociates...

At certain temperature compound $\mathrm{AB}_2(\mathrm{~g})$ dissociates according to the reaction $$ 2 \mathrm{AB}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{AB}(\mathrm{~g})+\mathrm{B}_2(\mathrm{~g}) $$ The value of $\mathrm{K}_{\mathrm{p}}$ in terms of degree of dissociation ' $\alpha$ ' and total pressure ' P ' is (a) $\mathrm{P} \frac{\alpha^3}{2}$ (b) $\mathrm{P} \frac{\alpha^2}{3}$ (c) $\mathrm{P} \frac{\alpha^3}{3}$ (d) $\mathrm{P} \frac{\alpha^2}{2}$

At certain temperature compound $\mathrm{AB}_2(\mathrm{~g})$ dissociates according to the reaction

$$
2 \mathrm{AB}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{AB}(\mathrm{~g})+\mathrm{B}_2(\mathrm{~g})
$$

The value of $\mathrm{K}_{\mathrm{p}}$ in terms of degree of dissociation ' $\alpha$ ' and total pressure ' P ' is
(a) $\mathrm{P} \frac{\alpha^3}{2}$
(b) $\mathrm{P} \frac{\alpha^2}{3}$
(c) $\mathrm{P} \frac{\alpha^3}{3}$
(d) $\mathrm{P} \frac{\alpha^2}{2}$

Key Concepts

Stoichiometry of Equilibrium Reactions

Stoichiometry involves the quantitative relationships between the reactants and products in a balanced chemical reaction. In equilibrium problems, the stoichiometric coefficients are used to relate the changes in the amounts (or pressures) of the substances to the degree of dissociation, thereby facilitating the development of expressions for quantities like K_p.

Degree of Dissociation (alpha)

The degree of dissociation, denoted by alpha (?), represents the fraction of the original substance that undergoes dissociation at equilibrium. It is a crucial parameter for relating the change in concentration or pressure of the reactants and products and for determining the equilibrium composition.

Equilibrium Constant (K_p)

The equilibrium constant K_p is a dimensionless value that quantifies the ratio of the partial pressures of products to reactants at equilibrium, each raised to the power of their respective stoichiometric coefficients. It serves as a measure of the extent of the reaction under a given set of conditions in gaseous systems.

Partial Pressure and Mole Fraction

In gas-phase reactions, the partial pressure of a gas is the pressure it would exert if it alone occupied the entire volume. This concept is tied to mole fractions, as the partial pressure of a component is the product of its mole fraction and the total pressure of the gas mixture.

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