For the reaction `2A +B to A_2B`, the rate `=k[A][B]^2` with `k = 2.0 xx 10^(-6) M^(-2) s^(-1)` . Calculate the initial rate of the reaction when [A] = 0.1M, [B] = 0.2 M. If the rate of reverse reaction is negligible then calculate the rate of reaction after [A] is reduced to 0.06 M.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the initial rate of the reaction

The rate of the reaction is given by the rate law:
\[ \text{Rate} = k[A][B]^2 \]

Where:
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