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Just recently I decided to buy an ozone generator that can produce 4 grams of ozone / hour. However, I did a little research and found that ozone has a half life of 12.5 hours at 35 Celsius.

For fun, I decided to find an equation that would let me know the amount of ozone left in the room after leaving the machine on for a certain time.

I tried for a while but found it to be extremely challenging since new ozone was being added every moment in time and I had to factor this into account. I believe calculus may be needed for this question.

However, I was able to find the maximum amount of ozone this machine was able to sustain, which is around 74.1532 by the following equation, so hopefully it might somehow help:

4/(1-0.5^0.08)

Can anyone help me find the equation?

For fun, I decided to find an equation that would let me know the amount of ozone left in the room after leaving the machine on for a certain time.

I tried for a while but found it to be extremely challenging since new ozone was being added every moment in time and I had to factor this into account. I believe calculus may be needed for this question.

However, I was able to find the maximum amount of ozone this machine was able to sustain, which is around 74.1532 by the following equation, so hopefully it might somehow help:

4/(1-0.5^0.08)

Can anyone help me find the equation?

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