For the following reaction, it is found that doubling the amount of A causes the reaction rate to double while doubling the amount of B causes the reaction rate to quadruple. What is the best rate law equation for this reaction? A + B yields 2C rate = k[A]2[B] rate = k[A][B] rate = k[A][B]2 rate = k[A]1/2[B]

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For the following reaction, it is found that doubling the amount of A causes the reaction rate to double while doubling the amount of B causes the reaction rate to quadruple. What is the best rate law equation for this reaction? A + B yields 2C rate = k[A]2[B] rate = k[A][B] rate = k[A][B]2 rate = k[A]1/2[B]

Chemistry
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When you double the amount of A and that causes the reaction to double you have a first order relationship and that means the exponent is going to be 1. When you double the amount of B and it quadruples then you have a second order relationship and the exponent would be 2.

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