A first order reaction is `40%` complete in 50 minutes. Calculate the value of the rate constant. In what time will the reaction be `80%` complete?

Explanation

To solve the problem step by step, we will use the first-order reaction kinetics formula to determine the rate constant and the time required for the reaction to be 80% complete.

### Step 1: Understand the given information
- The reaction is 40% complete in 50 minutes.
- For a first-order reaction, the formula to calculate the rate constant (k) is:

\[
k = \frac{2.303}{t} \log \left(\frac{[A_0]}{[A_t]}\right)
...