8. You are interested in estimating the maximum specific growth rate for bacteri

Question

8. You are interested in estimating the maximum specific growth rate for bacteria during the aerobic oxidation of an organic substrate. It has been found that the yield of bacteria is 0.45 g cells per g of substrate. Also, you have determined that when the substrate concentration is 8 mg/L, the rate of substrate utilization is 2 g of substrate per g of cells per day, and when the substrate concentration is 20 mg/L, the rate of substrate utilization is 3 g of substrate per g of cells per day. Estimate the maximum specific growth rate.

Explanation / Answer

Based on the given data,

The Monod equation is:

µ = µmax (S/KS +S)

Monod also related the yield coefficient (Yx/s), then

Yx/s = dx/dt

µ = Yx/s /X * dx/dt = Yx/s q

Thus,

µ = 0.45/ 14 * 2.5/24 hours

µ = 0.032 * 0.10 hours

µ = 0.032

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