A chemist monitors the forward and reverse reaction rates for the gaseous…

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

Problem

A chemist monitors the forward and reverse reaction rates for the gaseous decomposition reaction X₂(g) ⇌ 2 X(g) in a constant-volume container at 450 K. The measured rates (in mol L⁻¹ s⁻¹) are listed at 20-s intervals. (a) Using the data below, determine the time at which the system first reaches equilibrium. Explain your reasoning.
time / sforward ratereverse rate
01.200.00
200.860.34
400.620.60
600.480.48
800.480.48
(b) Describe how the concentration of X₂ changes (i) before equilibrium is reached, (ii) at the moment equilibrium is established, and (iii) after equilibrium has been maintained for several minutes. (c) Suppose the chemist sketches a graph of [X] versus time on the same axes as [X₂] versus time. Predict the qualitative shapes of both curves and the relative positions of their horizontal portions. Provide chemical reasoning. (d) Justify why equal forward and reverse rates necessarily lead to constant macroscopic concentrations in this reaction.

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