For the chemical reaction `A + 2B rarr C`, the rate of reaction is increased by `2.82` times when the concentration of `A` is doubled and increased by `9` times when the concentration of `B` was tripled. What is the order with respect to `B` and `A` and total order ?

Explanation

To solve the problem, we need to determine the order of the reaction with respect to reactants A and B based on the given information about how the rate of reaction changes with changes in their concentrations.

### Step 1: Understand the Rate Law
The rate of a chemical reaction can be expressed in terms of the concentrations of the reactants raised to their respective orders:
\[ \text{Rate} = k [A]^x [B]^y \]
where:
- \( k \) is the rate constant,
- \( [A] \) and \( [B] \) are the concentrations of reactants A and B,
...