It is proposed to sterilize the growth medium fed to a continuous bioreactor either by holding it at 120 °C for 15 minutes or at 140 °C for 3 minutes. The feed must contain 12 mg/l of vitamin C and 0.3 mg/l of thiamin. Leskova et al. (2006) give the following first-order rate constants for thermal decomposition of these vitamins:

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Vitamin Ascorbic acid (vitamin C) Thiamin (vitamin B1) ko (S-¹) 3.6 × 10² 1.88 x 10° Ea (kJ/mol) 46 97 Where the first order rate constant k₁=k, exp (-E/RT) Determine the amount of each vitamin that must be added to the feed prior to sterilization for each heat treatment. Which sterilization treatment do you recommend?