SCAN0058 - d(VP/dt=(F1 F2)P'y uS/Ks*S*cV 5 Balance...

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Unformatted text preview: d(VP)/dt=- (F1+F2)P + 'y* uS/Ks*S*cV 5. Balance Equations in Continuous Culture (graduate students only, 5 pts) a) carbon balance: no product is being formed, so only need to account for biomass and C02 Qcoz moles COz/ g cells hr* 12 g C/ mole C02* X g cells/L: D hr'1*X g cells/hr*0'b g C/ g cells l2*Qc02*X = D*X*Gb g C / L hl‘ Rearranges to 12*Qcoz/ D*Gb= 1 Electron balance: 0: D hr‘1* X g cells/ hr*c7b g C/ g cells*y1, e-/g atom C* 1 g atom C/ 12 g C + Q02 moles 02/ g cells hr*-4 e-/mole 02*X g cells/L hr) 1/12*D*X*ob*y1, e-/L hr : 4*X* Q02 e-/ L hr Rearranges to D*X*0b*y/48* Q02=l 13) Energy to biomass = F cm3/hr* X g / cm3*ob g (3/ g cells’WtJ e-/ g atom C* 1 g atom C/ 12 g C*Q0 kcal/ e- Energy input from photons: Ia*A Ratio: Biomass/ photons, so just ratio these two quantities ...
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