Chemistry

Chemistry

Problem

A reaction mixture initially contains 0.50 mol of gaseous E and 0.50 mol of gaseous F in a rigid 2.0 L container at 600 K. The gases react according to the equation E + F ⇌ G (only one mole of product is formed per mole of each reactant). A researcher continuously records the partial pressures of E, F, and G. The following verbal description summarizes the data: • From 0 min to 8 min, PEP_E and PFP_F decrease rapidly while PGP_G increases. • From 8 min to 12 min, all three partial pressures remain constant within the precision of the instrument. • At 12 min the temperature is suddenly lowered to 550 K; the volume does not change. • Immediately after the temperature drop, PGP_G begins to decrease while PEP_E and PFP_F increase until they again reach constant values at 20 min. a. Identify the two distinct time intervals during which the system is at equilibrium, and state the evidence that supports your identification for each interval. b. Explain why the partial pressures change in the direction observed immediately after the temperature is lowered at 12 min. c. Sketch qualitative curves of the forward and reverse reaction rates versus time for the entire 0 – 20 min interval. Clearly label the times corresponding to the temperature change and to each equilibrium period. d. Suppose the volume of the container were doubled at 8 min instead of changing the temperature at 12 min. Predict qualitatively how the partial pressures of E, F, and G would respond immediately and over time, and justify your predictions.
Intuitive explanation

This problem tests your understanding of chemical equilibrium and Le Chatelier's principle in a dynamic system. The key insight is recognizing that the system reaches equilibrium at 600 K (where pressures plateau), then cooling shifts that equilibrium by changing KpK_p—a smaller equilibrium constant at lower temperature means the reaction reverses to re-establish balance. By tracking pressure changes across both temperature conditions, you can determine both the equilibrium position and thermodynamic properties of the reaction.

Intuitive explanation

This problem tests your understanding of chemical equilibrium and Le Chatelier's principle in a dynamic system. The key insight is recognizing that the system reaches equilibrium at 600 K (where pressures plateau), then cooling shifts that equilibrium by changing KpK_p—a smaller equilibrium constant at lower temperature means the reaction reverses to re-establish balance. By tracking pressure changes across both temperature conditions, you can determine both the equilibrium position and thermodynamic properties of the reaction.

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