Bioreactor Modelling. Topic: Fed-batch culture

Material balance for substrate for Fed-batch cell culture \[ \$\left(\text { Vol_L } L_{-} S_{-} ight)=Q_{-} \text {feed } * S_{-} \text {feed }-Q_{-} \text {outlet } * S_{-} L+0-r_{-}{ }^{*} V o l \_L \] Perform a dimensional analysis (i.e., what are the units for each variable in the material balance?) Are the units consistent? (i.e., are the units on the left-hand side of the equation the same as those of the right-hand side?) Clue: the left-hand side of the material balance, \$(Vol_L * S_L), has units of hmmolS. If the equation is dimensionally consistent, this means that the right-hand side must have units of hmmolS as well