6. (10 points, total) A substrate (S) consumption rate is given by the following

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6. (10 points, total) A substrate (S) consumption rate is given by the following equation: 2 k[S] dt dS (ia) (5 points)

Develop an equation to calculate final substrate concentration (Sf) by assuming the following initial and final conditions: Sf = concentration @ time t; S0 = cell concentration @ time t = 0.

(ib) Provide units (or dimensions) for the kinetic constant “k”. (ic)

What is the order the reaction?

(ii) (5 points) Assume a bacterium is growing steadily in a closed bottle with nutrients. It doubles in the bottle every minute. At 11: 00 a.m. there was only one bacterium and at noon the bottle is full with bacteria. At what time the bottle was half full? Show your calculations.

6. (10 points, total) A substrate (S) consumption rate is given by the following equation: dS dt an equation to calculate final subetrate concentration s) by (ia) (5 points) Develop an equation to calculate final substrate concentration (S) by assuming the following initial and final conditions Sf-concentration @ time t; S.-cell concentration @ time t0. (ib) Provide units (or dimensions) for the kinetic constant "" (ic) What is the order the reaction? (ii) (5 points) Assume a bacterium is growing steadily in a closed bottle with nutrients. It doubles in the bottle every minute. At 11: 00 a.m. there was only one bacterium and at noon the bottle is full with bacteria. At what time the bottle was half full? Show your calculations.

Explanation / Answer

6. (10 points, total) A substrate (S) consumption rate is given by the following

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