This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
If 2A + 3D -> products is first-order in A and second-order in D, the rate law is: rate =

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Step 1: Identify the general form of the rate law. The general rate law for a reaction involving reactants A and D is given by: where is the rate constant, and are the concentrations of reactants A and D, and and are the reaction orders with respect to A and D, respectively.
Step 2: Determine the reaction orders from the problem statement. The problem states that the reaction is "first-order in A" and "second-order in D". This means: • The order with respect to A, , is . • The order with respect to D, , is .
Step 3: Substitute the reaction orders into the general rate law. Substitute and into the rate law equation: This simplifies to:
Step 4: Compare the derived rate law with the given options. The derived rate law is . Let's check the given options: (a) (b) (c) (d)
The derived rate law matches option (a).
The final answer is .
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Identify the general form of the rate law.