Mathematical Shenanigans by Metin Bektas

Author:Metin Bektas [Bektas, Metin]
Language: eng
Format: epub
Published: 2014-04-14T00:00:00+00:00

From the plot we can see that the left side becomes zero (hence solving the equation) for:

T(opt) ≈ 2.3 seconds

This is the optimal duration for one puff given the value of the absorption constant k and a time of two seconds between exhaling and inhaling. We are not interested in a more accurate solution since our inputs are estimates as well. If we are in a hurry and allow only one second between exhaling and inhaling, this changes to T(opt) ≈ 1.7 seconds. For the more relaxed approach of allowing three seconds, we get T(opt) ≈ 2.7 seconds.

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