The rate of first order reaction is `0.04 mol L^(-1) s^(-1)` at `10 min` and `0.03 mol L^(-1) s^(-1)` at `20 min` after initiation. Find the half life of the reaction.

Explanation

To find the half-life of the first-order reaction given the rates at two different times, we can follow these steps:

### Step 1: Understand the relationship between rate and concentration
For a first-order reaction, the rate of reaction (R) is given by the equation:
\[ R = k \cdot [A] \]
where \( k \) is the rate constant and \([A]\) is the concentration of the reactant.

### Step 2: Set up the equations based on the given rates
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