Problem: If a solution containing 26.0 g of a substance reacts by first-order kinetics, how many grams remain after three half-lives?

🤓 Based on our data, we think this question is relevant for Professor Schultz's class at OSU.

FREE Expert Solution

Recall that half-life is the time needed for the amount of a reactant to decrease by 50% or one-half. One way to determine the amount remaining after x half-lives is:


[A]t=[A]02x


where [A]t = concentration after x half-lives, [A]0 = initial concentration and x = number of half-lives.


We’re given [A]0 = 26.0 g and x = 3 half-lives. Solving for [A]t:

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Problem Details

If a solution containing 26.0 g of a substance reacts by first-order kinetics, how many grams remain after three half-lives?

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Our tutors have indicated that to solve this problem you will need to apply the Integrated Rate Law concept. You can view video lessons to learn Integrated Rate Law. Or if you need more Integrated Rate Law practice, you can also practice Integrated Rate Law practice problems.

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Based on our data, we think this problem is relevant for Professor Schultz's class at OSU.