Question

In: Chemistry

In 30 minutes, a first-order reaction is 50% complete. Calculate the amount of time it took to complete 87.5 percent of the reaction.

In 30 minutes, a first-order reaction is 50% complete. Calculate the amount of time it took to complete 87.5 percent of the reaction.

Solutions

Expert Solution

Answer : 90 minutes 

Explanation :

In 30 minutes, the reaction is 50% complete. As a result, t1/2 = 30 minutes.

In two half-lives, 75% of the process is accomplished.

As a result, t = 2 × 30 = 60 minutes.

In three half-lives, 87.5 percent of the reaction is finished.

Hence, t = 3 × 30 = 90 minutes.

Therefore, the amount of time it took to complete 87.5 percent of the reaction is 90 minutes. 


90 minutes 

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