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A schematic flow diagram of a completely mixed biological reactor with provision for recycling of solids shown in the figure.


$S_0$, $S$ = readily biodegradable soluble BOD, mg/L

$Q, \: Q_r, \: Q_w$ = flow rates $m^3/d$

$X, \: X_0,  \: X_e, \: X_u$= microorganisms concentrations (mixed liquor soils volatile suspended solids or MLVSS ), mg/l

The mean cell residence time (in days, up to one decimal place) is _____

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