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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?

you are doubling the amount of moles there for kp being a constant 1.85 is squared giving you the 3.42

when you reverse the reaction, you take 1/K

 

when you double the reaction, you take K^2

 

when you half the reaction, you take square root(K)

 

when you combine reactions, you multiply the Ks

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Thanks Hermann, that'll probably come in handy on my final tomorrow.

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