A first order decomposition reaction takes 40 minutes for 30% decomposition. Calculate its `t_(1//2)` value.

Explanation

To calculate the half-life \( t_{1/2} \) of a first-order decomposition reaction that takes 40 minutes for 30% decomposition, we can follow these steps:

### Step 1: Understand the given data
- The reaction is first-order.
- Time taken for 30% decomposition (\( t \)) = 40 minutes.
- Initial concentration (\( A \)) = 100% (we can assume this for calculation).
- Amount decomposed (\( x \)) = 30% of 100% = 30.

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