A glucose solution is supplied in a repeated fed batch culture. The following parameters have been measured at t = 2.5 hrs; the system was under a quasi-steady state at this time. V = 1.0 L, F = 0.22...

A glucose solution is supplied in a repeated fed batch culture. The following parameters have been measured at t = 2.5 hrs; the system was under a quasi-steady state at this time.

V
= 1.0 L,
F
= 0.22 L/hr,
S₀

= 98 g/L, ,
K_S

= 0.14 g-glucose/L, =0.48 g-cells/g-glucose,
X₀
^t
= 33 g

(a) Calculate the value of
V₀

and
S

(b) Calculate the value of X^t
for
t
= 2.5 hrs.

(c) Calculate the value of P at t = 2.5 hrs for q_p
= 0.23 g-product/g-cell and P₀
= 0.33 g/L.