Calculate the order of reaction form the following data:
`2NH_(3) rarr N_(2) + 3H_(2)` (reaction)
`|{:("Pressure (mm Hg)",50,100,200),("Half lives (min)",3.52,1.82,0.93):}|`

Explanation

To calculate the order of the reaction from the given data, we can follow these steps:

### Step 1: Understand the relationship between half-life and concentration
The half-life \( t_{1/2} \) of a reaction is related to the concentration \( A \) (or pressure in this case) and the order of the reaction \( n \) by the formula:
\[ t_{1/2} \propto \frac{1}{A^{n-1}} \]
Since pressure is proportional to concentration, we can rewrite this as:
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