How to Deduce the Relation between the Equilibrium Constants of Multiple Reactions – Part 1

The equilibrium constant of a chemical reaction is the value of its reaction quotient at chemical equilibrium.


Chemical equilibrium is a state approached by a dynamic chemical system after enough time has passed at which its composition has no measurable tendency toward further alteration.

One could write the equilibrium expressions, and solve for one equilibrium constant in terms of the other, but there exists a shortcut!

Question:

At a given temperature and pressure, the equilibrium constant values for the equilibria are given below:



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What’s the relation between K1 & K2?


Solution:



Click to enlarge the image


Is the solution easy to follow❓ Let Chemaficionado know at mychemistryhomework@gmail.com❗


References:
(1)    Wikipedia Contributors. Chemical equilibrium. Wikipedia. https://en.wikipedia.org/wiki/Chemical_equilibrium.
(2)    Wikipedia Contributors. Equilibrium constant. Wikipedia. https://en.wikipedia.org/wiki/Equilibrium_constant.

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