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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider the mixing tank treated in Problem 7.6. Generalize the model to the case where the tank’s volume is V m3. For quality control purposes, we want to adjust the output concentration so by adjusting the input concentration si. How much volume should the tank have so that the change in so lags behind the change in si by no more than 20 s?
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Problem 7.6
Pure water flows into a mixing tank of volume V = 300 m3 at the constant volume rate of 10 m3/s. A solution with a salt concentration of si kg/m3 flows into the tank at a constant volume rate of 2 m3/s. Assume that the solution in the tank is well mixed so that the salt concentration in the tank is uniform. Assume also that the salt dissolves completely so that the volume of the mixture remains the same. The salt concentration so kg/m3 in the outflow is the same as the concentration in the tank. The input is the concentration si(t), whose value may change during the process, thus changing the value of so. Obtain a dynamic model of the concentration so.
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