A substance decomposes by following first order kinetics. If 50% of the compound is decomposed in 120 minutes, how long will it take for 90% of the compound to decompose?

Explanation

To solve the problem step by step, we will use the first-order kinetics formula and the information provided.

### Step 1: Understand the first-order kinetics formula
For a first-order reaction, the rate constant \( k \) can be calculated using the formula:
\[ k = \frac{2.303}{t} \log \left( \frac{[A_0]}{[A_t]} \right) \]
where:
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