The following data are for the reaction `A+B rarr` Products:
`{:(Conc. of A(M),,Conc. of B(M),,Initial rate),(,,,,(mol L^(-1) s^(-1))),(0.1,,0.1,,4.0xx10^(-4)),(0.2,,0.2,,1.6xx10^(-3)),(0.5,,0.1,,1.0xx10^(-2)),(0.5,,0.5,,5.0xx10^(-2)):}`
(a) What is the order with respect to `A` and `B` for the reaction?
(b) Calculate the rate constant
Determine the reaction rate when the concentrations of `A` and `B` are `0.2 M` and `0.35 M` respectvely.

Explanation

To solve the question step by step, we will analyze the data provided for the reaction \( A + B \rightarrow \text{Products} \) and determine the order of the reaction with respect to \( A \) and \( B \), calculate the rate constant, and find the reaction rate for given concentrations of \( A \) and \( B \).

### Step 1: Determine the order with respect to \( A \) and \( B \)

1. **Write the rate law expression**:
\[ \text{Rate} = k [A]^\alpha [B]^\beta \]
...