For the given hypothetical reactions, the equilibrium constants are as follows: \[ X \rightleftharpoons Y; \, K_1 = 1.0 \] \[ Y \rightleftharpoons Z; \, K_2 = 2.0 \] \[ Z \rightleftharpoons W; \, K_3 = 4.0 \] The equilibrium constant for the reaction \[ X \rightleftharpoons W\] is:
The equilibrium constant for the net reaction $X \rightleftharpoons W$ is the product of the individual constants: \[K = K_1 \cdot K_2 \cdot K_3.\] Substitute values: \[K = 1 \cdot 2 \cdot 4 = 8.\] Final Answer: 8.0
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