A first order reaction takes `40 mi n ` for `30%` decomposition. Calculate `t_(1//2)`.
Text Solution
AI Generated Solution
To solve the problem of calculating the half-life (\(t_{1/2}\)) of a first-order reaction that takes 40 minutes for 30% decomposition, we can follow these steps:
### Step-by-Step Solution:
1. **Understand the Reaction**:
We have a first-order reaction where 30% of the reactant decomposes in 40 minutes. This means that 70% of the reactant remains.
2. **Set Initial and Remaining Concentrations**:
...
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