The equilibrium constant for the reaction SO3( g) ⇌SO2( g)+1 / 2 O2( g) is Kc=4.9 ×10^-2. the va

step 1 In this problem, we have given equilibrium constant for the reaction in which SO3 gas decomposes

The equilibrium constant for the reaction SO3( g) ⇌SO2( g)+1...

The equilibrium constant for the reaction $\mathrm{SO}_3(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_2(\mathrm{~g})+1 / 2 \mathrm{O}_2(\mathrm{~g})$ is $\mathrm{K}_{\mathrm{c}}=4.9 \times 10^{-2}$. the value of $\mathrm{K}_{\mathrm{e}}$ for the reaction $2 \mathrm{SO}_2$ $(\mathrm{g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{SO}_3(\mathrm{~g})$ will be [2006] (a) 416 (b) $2.40 \times 10^{-3}$ (c) $9.8 \times 10^{-2}$ (d) $4.9 \times 10^{-2}$

The equilibrium constant for the reaction $\mathrm{SO}_3(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_2(\mathrm{~g})+1 / 2 \mathrm{O}_2(\mathrm{~g})$
is $\mathrm{K}_{\mathrm{c}}=4.9 \times 10^{-2}$. the value of $\mathrm{K}_{\mathrm{e}}$ for the reaction $2 \mathrm{SO}_2$ $(\mathrm{g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{SO}_3(\mathrm{~g})$ will be [2006]
(a) 416
(b) $2.40 \times 10^{-3}$
(c) $9.8 \times 10^{-2}$
(d) $4.9 \times 10^{-2}$

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Key Concepts

Equilibrium Constant

The equilibrium constant is a measure of the ratio of the concentrations (or partial pressures) of products to reactants at equilibrium, as defined by the law of mass action. It provides insight into the position of equilibrium under a given set of conditions and is a key parameter in determining how far a reaction proceeds before reaching equilibrium.

Reaction Reversal

Reversing a chemical reaction inverts the equilibrium constant. This means that if the equilibrium constant for the forward reaction is K, the equilibrium constant for the reverse reaction becomes 1/K. This concept is crucial when converting between different representations of the same chemical equilibrium.

Stoichiometric Manipulation of Equilibrium Constants

When a chemical equation is multiplied by a factor, the equilibrium constant for the new reaction is the original equilibrium constant raised to the power of that factor. This principle allows us to accurately calculate equilibrium constants for reactions that are scaled compared to a known reaction, ensuring consistency with the law of mass action.

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