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NEET UG CHEMISTRY MCQ: Equilibrium

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Analyzing +4 | -1
Equilibrium constant (K)({K}) for the reaction Ni(s)+4CO(g)⇌Ni(CO)4( g){Ni}({s})+4 {CO}({g}) \rightleftharpoons {Ni}({CO})_4({~g}) can be written in terms of

(1) Ni(s)+2CO2( g)+2C(s)⇌Ni(CO)4( g){Ni}({s})+2 {CO}_2({~g})+2 {C}(\mathrm{s}) \rightleftharpoons {Ni}({CO})_4({~g}); equilibrium constant =K1={K}_{{1}}.

(2) CO2( g)+C(s)⇌2CO(g){CO}_2({~g})+{C}({s}) \rightleftharpoons 2 {CO}({g}); equilibrium constant =K2={K}_2.

What is the relation between K,K2{K}, {K}_2 and K2{K}_2 ?
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Correct option: A
K=(K1)/(K2)2{K}=\left({K}_1\right) /\left({K}_2\right)^2
Option A (K=(K1)/(K2)2{K}=\left({K}_1\right) /\left({K}_2\right)^2) is correct because it represents the correct relationship between the equilibrium constants when manipulating the given reactions to obtain the target reaction.

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