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Chemistry: Mole ratios, effect on Kp


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The question I'm working on reads:


At 1000 K, Kp = 1.85 for the reaction


SO2(g) + ½O2(g) ↔ SO(g)


What is the value of Kp for the reaction 2SO2(g) + O2(g) ↔ 2SO3(g) ?



I assumed that the Kp would not change, because the mole ratio was not changed. But the back of the book tells me otherwise. The answer is supposed to be Kp = 3.42.


Can someone please explain how to get that answer?

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