Question

A first order reaction takes 23.1 minutes for 50% conmpletion. Calculate the time required for 75% completion of this reaction (log2=0.301),(log3=0.4771)(log4= 0.6021)

Answer 1

The time required for 75% completion of a first-order reaction that takes 23.1 minutes for 50% completion is 46.2 minutes, since each half-life is the same duration and two half-lives need to pass to achieve 75% completion.

Step-by-step explanation:

To calculate the time required for 75% completion of a first-order reaction that takes 23.1 minutes for 50% completion, we can use the concept that the time taken for each half-life is constant in first-order kinetics. Given the half-life (½ life) as 23.1 minutes, the reaction will be 75% complete after two half-lives. This is because after the first half-life (23.1 minutes), the reaction is 50% complete, and then, after the second half-life, an additional 25% (half of the remaining 50%) will react, leading to a total of 75% completion.

Using the provided half-life, we can calculate the time for 75% completion:

• First half-life (0-50% completion): 23.1 minutes
• Second half-life (50-75% completion): 23.1 minutes

Thus, the total time required for 75% completion is 23.1 minutes + 23.1 minutes = 46.2 minutes.