A reaction is first order in A and of second order in B. Write the differential rate equation for the reaction.

Explanation

To solve the problem, we need to write the differential rate equation for a reaction that is first order in A and second order in B. Here's the step-by-step solution:

### Step 1: Understand the Order of the Reaction
The order of a reaction with respect to a reactant indicates how the rate of the reaction is affected by the concentration of that reactant. In this case:
- The reaction is **first order** in A, which means the rate is directly proportional to the concentration of A.
- The reaction is **second order** in B, which means the rate is proportional to the square of the concentration of B.

### Step 2: Write the Rate Law Expression
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