A roller bottle culture vessel perfectly cylindrical in shape having inner radius (r) = 10 cm and length (l) = 20 cm was fitted with a spiral film of length (L) = 30 cm and width (W) = 20 cm. If the film can support 10⁵ anchorage dependent cells per cm², the increase in the surface area after fitting the spiral film and the additional number of cells that can be grown respectively are

Which of the following techniques is best suited for immobilizing an affinity ligand?

Which one of the following can not be a limiting substrate if Monod's growth kinetics is applicable?

During cultivation of microorganisms in a fermenter, various parameters are controlled by appropriate sensor (probe). Match each probe in Group I with the appropriate response mechanism in Group II.

Group I (Probe)	Group II (Response)
P. Thermistor	1. Activation of acid/alkali pump
Q. Oxygen electrode	2. Activation of vegetable oil pump
R. Metal rod	3. Activation of hot/cold water pump
S. pH electrode	4. Increase/decrease in stirrer motor speed

The kinetics of the disintegration of baker's yeast cells in a bead mill is described as $$\frac{{dp}}{{dt}} = K\left( {{P_m} - P} \right)$$   , where P is the concentration of protein released, m is the maximum protein concentration achievable, K is the first order rate constant and is 0.5 h⁻¹ for the system studied. The time required for the release of 90% of the intracellular proteins will be: