flow dilution problem

Question

I have a known flow of Brine (Liter/h) with known concentration (gram/Liter), need to be diluted to defined concentration (gram/Liter), with demineralized water. What Equation should be used to determine flow of water by (Liter/h).

Answer 1

Given

$F_B$ = Flow of brine

$F_D$ = Flow of demineralized water

$C_B$ = Concentration of minerals in brine

$C_D$ = Concentration of minerals in demineralized water = $0$

$C_F$ = Final concentration of minerals

we have that $$C_F= \frac{F_B*C_B+F_D*C_D}{F_B+F_D}$$ or $$F_D = \frac{F_B*(C_B-C_F)}{C_F}$$