The experiment data for the reaction `2A + B_(2) rarr 2AB` is
`|{:("Experiment",[A] M,[B_(2)] M,"Initial rate" (mol L^(-1) s^(-1)),),(I,0.50,0.5,1.6 xx 10^(-4),),(II,0.50,1.0,3.2 xx 10^(-4),),(III,1.00,1.0,3.2 xx 10^(-4),):}|`
Write the most probable rate equation for the reacting giving reason for you answer.

Explanation

To determine the most probable rate equation for the reaction \( 2A + B_2 \rightarrow 2AB \), we will analyze the experimental data provided and derive the rate law step by step.

### Step 1: Write the general form of the rate equation
The rate of a reaction can be expressed as:
\[ \text{Rate} = k [A]^x [B_2]^y \]
where \( k \) is the rate constant, \( x \) is the order of the reaction with respect to \( A \), and \( y \) is the order of the reaction with respect to \( B_2 \).
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