In which of the following gaseous reaction, the value of Kp is less than Kc ? (a) PCl5 ⇄PCI3+Cl2

step 1 So in this problem, as we know that I can write the value of for this reaction n2 plus 3h2, 2NH3

In which of the following gaseous reaction, the value of Kp...

In which of the following gaseous reaction, the value of $\mathrm{K}_{\mathrm{p}}$ is less than $\mathrm{K}_{\mathrm{c}}$ ? (a) $\mathrm{PCl}_5 \rightleftarrows \mathrm{PCI}_3+\mathrm{Cl}_2$ (b) $2 \mathrm{SO}_2+\mathrm{O}_2 \rightleftarrows 2 \mathrm{SO}_3$ (c) $2 \mathrm{HI} \rightleftharpoons \mathrm{H}_2+\mathrm{I}_2$ (d) $\mathrm{N}_2+3 \mathrm{H}_2 \rightleftarrows 2 \mathrm{NH}_3$

In which of the following gaseous reaction, the value of $\mathrm{K}_{\mathrm{p}}$ is less than $\mathrm{K}_{\mathrm{c}}$ ?
(a) $\mathrm{PCl}_5 \rightleftarrows \mathrm{PCI}_3+\mathrm{Cl}_2$
(b) $2 \mathrm{SO}_2+\mathrm{O}_2 \rightleftarrows 2 \mathrm{SO}_3$
(c) $2 \mathrm{HI} \rightleftharpoons \mathrm{H}_2+\mathrm{I}_2$
(d) $\mathrm{N}_2+3 \mathrm{H}_2 \rightleftarrows 2 \mathrm{NH}_3$

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Key Concepts

Relationship Between Kp and Kc

Kp and Kc are both equilibrium constants used for reactions involving gases, where Kp is defined in terms of partial pressures and Kc in terms of concentrations. Their relationship is given by the equation Kp = Kc (RT)^(?n), where R is the gas constant, T is the temperature in Kelvin, and ?n is the change in the number of moles of gas between products and reactants.

Change in Moles of Gas (?n)

?n represents the difference in the total number of moles of gaseous products and gaseous reactants in a chemical reaction. This value is crucial because it determines how the equilibrium constant in terms of pressure (Kp) relates to the one in terms of concentration (Kc), influencing whether Kp becomes greater than or less than Kc depending on the sign of ?n.

Equilibrium Constants

Equilibrium constants are numerical values that express the ratio of the concentrations (or pressures) of products to reactants at equilibrium for a given chemical reaction. They provide insight into the extent of the reaction and whether products or reactants are favored under equilibrium conditions.

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