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NEET UG CHEMISTRY MCQ: Equilibrium

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For the following three reactions I, II and III, equilibrium constants are given
I. CO(g)+H2O(g)⇋CO2(g)+H2(g);K1\mathrm{CO}\left( \mathrm{g} \right) + {\mathrm{H}_2}\mathrm{O}\left( \mathrm{g} \right)\leftrightharpoons\mathrm{C}{\mathrm{O}_2}\left( \mathrm{g} \right) + {\mathrm{H}_2}\left( \mathrm{g} \right);{K_1}
II. CH4(g)+H2O(g)⇋CO(g)+3H2(g);K2\mathrm{C}{\mathrm{H}_4}\left( \mathrm{g} \right) + {\mathrm{H}_2}\mathrm{O}\left( \mathrm{g} \right)\leftrightharpoons\mathrm{CO}\left( \mathrm{g} \right) + 3{\mathrm{H}_2}\left( \mathrm{g} \right);{K_2}
III. CH4(g)+2H2O(g)⇋CO2(g)+4H2(g);K3\mathrm{C}{\mathrm{H}_4}\left( \mathrm{g} \right) + 2{\mathrm{H}_2}\mathrm{O}\left( \mathrm{g} \right)\leftrightharpoons\mathrm{C}{\mathrm{O}_2}\left( \mathrm{g} \right) + 4{\mathrm{H}_2}\left( \mathrm{g} \right);{K_3}
Which of the following relations is correct?
 
View answer and explanation
Correct option: C
K3=K1K2{K_3} = {K_1}{K_2}
Option C (K₃ = K₁K₂) is correct because reaction III can be obtained by adding reactions I and II. When reactions are added, their equilibrium constants are multiplied.

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