Help with transient mass balance for desalination by destillation

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SUMMARY

The discussion centers on solving a transient mass balance equation for desalination through distillation. The key equation presented is d[rhob*V]/dt = Min - rhob*Min*(1-n)/(rhos + rhow), where rhob represents the density of the fluid, V is the volume, Min is the mass inflow rate, n is a variable related to the process, and rhos and rhow are densities of the solid and water, respectively. Participants seek clarification on deriving the term rhob*Min*(1-n)/(rhos + rhow) within the context of ordinary mass balance principles.

PREREQUISITES
  • Understanding of ordinary mass balance equations
  • Familiarity with fluid dynamics concepts
  • Knowledge of desalination processes, particularly distillation
  • Basic principles of density and its application in mass flow calculations
NEXT STEPS
  • Study the derivation of transient mass balance equations in fluid systems
  • Research desalination techniques focusing on distillation methods
  • Explore the impact of density variations on mass flow rates
  • Learn about the role of variables in mass balance equations, particularly in chemical engineering contexts
USEFUL FOR

Students and professionals in chemical engineering, particularly those focusing on fluid dynamics and desalination processes, will benefit from this discussion.

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Homework Statement



me493-hw01.jpg


Homework Equations



ordinary mass balance


The Attempt at a Solution



So far I have gotten:
d[rhob*V]/dt = Min - ?
 
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d[rhob*V]/dt = Min - rhob*Min*(1-n)/(rhos + rhow)

is what i got
 
Mind me asking how you got the out term (the rhob*Min*(1-n)/(rhos + rhow))? Not saying that you are wrong but having trouble getting this and curious how you got to that.
 

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