For a university project, I need to use the following equations, but I am having difficulty with the units of the term of the left-hand side (ΔXh). As far as I understand it, the units of this term should be µgCOD/(litre*hour), but I cannot see how that is the case. Perhaps I just have the units of one of the right-hand side terms incorrect?
ΔXh = Yh*(1 - kuap - keps)*Ubom*Xh
Units:
Yh [µgCOD/µgCOD]
kuap [µgCOD/µgCOD]
keps [µgCOD/µgCOD]
Ubom [µgCOD/(litre*hour)]
Xh [µgCOD/litre]
where µgCOD = micograms of chemical oxygen demand (a mass unit)
Thanks in advance for any help!
Isn't this your equation?: $\frac{\operatorname{d} X_h}{\operatorname{d} t} = Y_h\cdot (1 - k_{UAP} - k_{EPS})\cdot U_{BOM}\cdot X_h$
Units:
$X_h [\mu gCOD]$ concentration of biomass (heterotroph)
$Y_h [\mu gCOD/\mu gCOD_x]$ true yield coefficient (heterotroph)
$k_{UAP} [\mu gCOD/\mu gCOD_x]$ UAP formation rate constant
$k_{EPS} [\mu gCOD/\mu gCOD_x]$ EPS formation rate constant
$U_{BOM} [\mu gCOD/(\mu gCOD_x\cdot L\cdot Hr)]$ utilisation rate of biological organic matter