What is the rate law for the reaction of NO and H2?

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The discussion centers on determining the rate law for the reaction between nitric oxide (NO) and hydrogen (H2). Participants express concerns about potential misprints in the homework statement and solution provided. The consensus is that clarity in the question is essential for accurate interpretation and calculation of the rate law. Participants emphasize the importance of verifying the stoichiometry and reaction order based on experimental data.

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Homework Statement
Determine the rate law for this reaction given the data below.

2 NO + 2 H2 -> N2 + 2H2O

Reaction 1:
Initial [NO] = 0.20
Initial [H2] = 0.15
Initial rate = 2.0 * 10^(-4)

Reaction 2:
Initial [NO] = 0.40
Initial [H2] = 0.15
Initial rate = 8.0 * 10^(-4)

Reaction 3:
Initial [NO] = 0.40
Initial [H2] = 0.30
Initial rate = 1.6 * 10^(-3)

I think the rate law is rate = k[NO][SUP]2[/SUP][H2], since when you double the NO concentration, you quadruple the rate.

The solution is rate = k[NO][H2]. Is this wrong? Thanks.
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rate law
My solution and question are in the homework statement due to some formatting issues. Thanks.
 
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Unless there's an error in the question, you are right. There could easily be a misprint in the solution.
 
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