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5.60_PS_5_2008

# 5.60_PS_5_2008 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY 5.60...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Chemistry 5.60 Physical Chemistry Problem Set #5 Readings: Silbey…., Chapter 5.1, 5.3, 5.4-5.8 1. Consider the dissociation of N 2 O 4 (g) into NO 2 (g) described by N 2 O 4 (g) = 2NO 2 (g) Assuming that we start with n 0 moles of N 2 O 4 (g) and no NO 2 (g), show that the extent of reaction, eq , at equilibrium is given by eq n 0 = 1/2 4 p p K Kp Plot eq / n 0 against p given that p K = 6.1 at 100 o C. Is your result in accord with Le Châtelier’s principle? 2 . In Problem 1 you plotted the extent of reaction at equilibrium against the total pressure for the dissociation of N 2 O 4 (g) to NO 2 (g). You found that eq decreases as p increases, in accord with Le Châtelier’s principle. Now let’s introduce n inert moles of an inert gas into the system. Assuming that we start with n 0 moles of N 2 O 4 (g) and no NO 2 (g), derive an expression for eq / n 0 in terms of p and the ratio r = n inert / n 0 . Let K P = 6.1 and plot eq / n 0 verses p for r = 0, r = 0.50, r =1.0, and r =2.0. Show that introducing an inert gas into the reaction mixture at constant pressure has the same effect as lowering the pressure. What is the effect of introducing an inert gas into a reaction system at constant volume (your answer should be qualitative, no need for a calculation)?

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5.60_PS_5_2008 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY 5.60...

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