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Question 8

The reaction between sulfur dioxide, SO2(g)\text{SO}_2(\text{g})SO2​(g), and oxygen, O2(g)\text{O}_2(\text{g})O2​(g), forms sulfur trioxide, SO3(g)\text{SO}_3(\text{g})SO3​(g), according to the following equilibrium:

2SO2(g)+O2(g)⇌2SO3(g) 2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g}) 2SO2​(g)+O2​(g)⇌2SO3​(g)

An industrial researcher investigates this reaction:

  • The researcher fills a 15.6 dm315.6\text{ dm}^315.6 dm3 reaction vessel with SO2(g)\text{SO}_2(\text{g})SO2​(g) at room temperature and pressure (RTP), and then adds 16.00 g16.00\text{ g}16.00 g of O2(g)\text{O}_2(\text{g})O2​(g). (Assume 1 mol1\text{ mol}1 mol of gas occupies 24.0 dm324.0\text{ dm}^324.0 dm3 at RTP).
  • The mixture is heated with a vanadium(V) oxide catalyst and allowed to reach equilibrium at a total pressure of 1.82 bar1.82\text{ bar}1.82 bar and a temperature of 950 K950\text{ K}950 K.
  • A sample of the equilibrium mixture is analysed and found to contain 0.480 mol0.480\text{ mol}0.480 mol of SO3(g)\text{SO}_3(\text{g})SO3​(g).
a.

Write an expression for KpK_{\text{p}}Kp​ for this equilibrium, including its units.

[2]
b.

Determine the value of KpK_{\text{p}}Kp​ at 950 K950\text{ K}950 K. Show your working and give your answer to 3 significant figures.

[6]

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