The growth of bakers yeast (S. cerevisiae) on glucose may be described simply by the following equation:

C₆H₁₂O₆ + 3 O₂ + 0.48 NH₃ 0.48 C₆H₁₀NO₃ (yeast) + 4.32 H₂O + 3.12 CO₂

In a batch reactor of volume 10⁵ L, the final desired yeast concentration is 50 g/L. Using the preceding reaction stoichiometry:

a)Determine the concentration and total amount of glucose in the medium.

b)Determine the yield coefficient Y_x/s (biomass/glucose).

c)Determine the total amount of oxygen required.

d)If the rate of growth at exponential phase is r_x = 0.7 gL^-1h^-1, determine the rate of oxygen consumption at g-O₂L^-1h^-1.