for a reaction `2A+3B to Products`, the rate law expression is given by rate = `K(A)^(1) (B)^(2)` . The order of the reaction with respect to A,B and over all order of reaction ar

Options

A. 1,2,1
B. 3,2,1
C. 1,2,3
D. 2,1,3

Explanation

To determine the order of the reaction with respect to each reactant and the overall order of the reaction, we will analyze the given rate law expression step by step.

### Step-by-Step Solution:

1. **Identify the Rate Law Expression**:
The rate law expression provided is:
\[ \text{Rate} = k[A]^1[B]^2 \]
Here, \(k\) is the rate constant, and \([A]\) and \([B]\) are the concentrations of reactants A and B, respectively.

2. **Determine the Order with Respect to A**:
In the rate law, the exponent of \([A]\) indicates the order of the reaction with respect to A.
- From the expression, the exponent of \([A]\) is 1.
- Therefore, the order of the reaction with respect to A is:
\[ \text{Order with respect to A} = 1 \]

3. **Determine the Order with Respect to B**:
Similarly, the exponent of \([B]\) indicates the order of the reaction with respect to B.
- From the expression, the exponent of \([B]\) is 2.
- Therefore, the order of the reaction with respect to B is:
\[ \text{Order with respect to B} = 2 \]

4. **Calculate the Overall Order of the Reaction**:
The overall order of the reaction is the sum of the orders with respect to each reactant.
- Overall order = Order with respect to A + Order with respect to B
- Overall order = \(1 + 2 = 3\)

5. **Summarize the Results**:
- Order with respect to A: 1
- Order with respect to B: 2
- Overall order of the reaction: 3

### Final Answer:
- The order of the reaction with respect to A is **1**.
- The order of the reaction with respect to B is **2**.
- The overall order of the reaction is **3**.