How to Solve Volumetric Flow Balance Problems in Biomedical Engineering

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To solve volumetric flow balance problems in biomedical engineering, it's essential to recognize that the sum of flow rates in equals the sum of flow rates out. The initial calculation involves determining the mass flow rate of blood, which is found to be 112.5 mg/min based on given concentrations and flow rates. The discussion emphasizes the importance of conducting an overall mass balance followed by component balances for accurate results. It is crucial to ensure unit consistency throughout the calculations, especially when dealing with varying densities. Ultimately, volumetric flow balances can only be applied when density remains constant; otherwise, mass flow rates must be used.
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***Biomedical Eng. HW Prob! Help!***

Homework Statement


http://img11.imageshack.us/img11/3586/20582546.jpg


Homework Equations





The Attempt at a Solution



all i know is the the sum of flow rate in is equal to the sum of flow rate out
so i did
0.1 mg/ml * 1200 ml/min = 1.5 ml/min*5 mg/ml + mass flow rate blood.
and the m flow rate for blood is equal to 112.5 mg/min
i really don't know what to do next..please help.
 
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can anyone please help?
 


first do an overall mass balance

Vb=Vf+Vu

then do your component balances

cu,bVb=cu,fVf+cu,uVu
cd,bVb=cd,fVf+cd,uVu

here you only have 3 unknowns. plug and chug, but make sure your units match up since some of your givens are funky.
 


one other thing to note in this problem is that we're not really doing a mass balance, but a volumetric flow balance. you can ONLY do volumetric flow balances when your density is constant, otherwise you must convert each stream into a mass flow rate!
 
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