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How should I model the tea concentration as a function of time after a tea bag has been submerged? Is there a simple way of measuring the tea concentration?

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2 Answers 2

up vote 2 down vote accepted

Concentration measurement would be done by colourimetry rather easy.

For "model" look for 1st and 2nd law of Fick.

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You could use a first order differentian equation, a Laplacian. You can choose to use x/y/z coordinates, or r/theta/phi depending on the shape of the tea pot will determine which one is simpler to use. I say use a laplacian because I assume the amount of tea in the water spreads out uniformly from the bag, so a tea density gradient would be formed. The solution to this however would likely be fairly complex (or at least not very simple) unless the container was spherical with the tea bag in the middle, and but since a tea pot is a crude approximation of this, it could be used to model it.

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