chem question

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Strikeout13GB

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could someone explain this problem, I see 3^x =36 from the data but they are getting 3^x=9 which is 2, heres the question, For the reaction A+B-->C, determine the order of the rxn with respect to B from the info given below.

initial [A] initial initial rate of formation of C
2.5e-6 3e-4 5e-3
5e-6 3e-4 1e-2
1e-5 9e-4 1.8e-1
 
could someone explain this problem, I see 3^x =36 from the data but they are getting 3^x=9 which is 2, heres the question, For the reaction A+B-->C, determine the order of the rxn with respect to B from the info given below.

initial [A] initial initial rate of formation of C
2.5e-6 3e-4 5e-3
5e-6 3e-4 1e-2
1e-5 9e-4 1.8e-1


You did not divide the change due to A's concentration. If you double A's concentration, the rate doubles. So you take the rate, divide by 2 and you would get 9e-2. So the rate due to B is 9 x faster. That is how they got 9. I'm not sure how you got 36 but since there A is not being held constant, you will have to a little more work to find the rate due to B.
 
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