Problem: The images shown here depict the first-order reaction A → B at various times during the reaction process. The black circles represent reactant A and the red circles represent product B.What is the half-life of the reaction?

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

FREE Expert Solution

We’re being asked to determine the half-life of the reaction A → B based on the given diagram.


Recall that half-life is the time needed for the amount of a reactant to decrease by 50% or one-half


This means that we need to determine the time, t where the amount of A is reduced to one half.


We know that:

  • reactant A is represented by black dots (•)
  • product B is represented by red dots (•)


To do so, we need to count the number of black dots, A at t = 0, and determine t where:

  • A = 1/2(Ainitial)
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Problem Details
The images shown here depict the first-order reaction A → B at various times during the reaction process. The black circles represent reactant A and the red circles represent product B.

The figure shows 5 states of a reaction during time. At the beginning of the reaction, there are 10 black balls in the system. After 30 seconds there are 8 black and 2 red balls, after 60 seconds - 6 black and 4 red balls, after 90 seconds - 5 black and 5 red balls, and after 120 seconds - 4 black and 6 red balls.

What is the half-life of the reaction?

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What scientific concept do you need to know in order to solve this problem?

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

What professor is this problem relevant for?

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