A chemist can convert compound X to the desired product P by one of two pathways at 400 K

CHEMISTRY · Subjective · A Level · Chemistry · Chemical equilibria (Le Chatelier’s principle and Kc) · Chemical equilibria (Le Chatelier’s principle and Kc)

Problem

A chemist can convert compound X to the desired product P by one of two pathways at 400 K. Pathway 1 (single step): X (g) ⇌ P (g) K₁ = 5.0 × 10¹ Pathway 2 (two steps): X (g) ⇌ Y (g) K₂ = 2.0 × 10⁻¹ and Y (g) ⇌ P (g) K₃ = 3.0 × 10⁻¹ Assuming the two steps of Pathway 2 reach equilibrium independently, indicate which pathway will deliver the greater equilibrium conversion of X to P. Show or state the reasoning based on the magnitudes of the relevant equilibrium constants.

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