For the given hypothetical reactions, the equilibrium constants are as follows:
X⇌Y; K1=1.0
Y⇌Z; K2=2.0
Z⇌W; K3=4.0
The equilibrium constant for the reaction X⇌W is [2024]
(3)
On adding reactions, equilibrium constants are multiplied
X⇌Y,K1=[Y][X]
Y⇌Z,K2=[Z][Y]
Z⇌W,K3=[W][Z]
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Adding all three:
X⇌W,K=[W][X]=[W][Z][Y][Z][Y][X]=K1K2K3=1×2×4=8