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A first order reaction is 40% completed ...

A first order reaction is `40%` completed in 50 minutes. What is the time required for `90%` of the reaction to complete?

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To solve the problem of how long it takes for a first-order reaction to reach 90% completion, given that it takes 50 minutes to reach 40% completion, we can follow these steps: ### Step 1: Understand the first-order kinetics equation For a first-order reaction, the relationship between time, rate constant (k), and the extent of the reaction can be expressed using the equation: \[ t = \frac{2.303}{k} \log \left( \frac{[A_0]}{[A_0 - x]} \right) \] where: - \( t \) is the time, - \( k \) is the rate constant, ...
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