10.9. Consider the data given in the table on the temperature changes in a 10,000-1 fermenter,...

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10.9. Consider the data given in the table on the temperature changes in a 10,000-1 fermenter, which includes the heat-up and cool-down periods. Use the values for the Arrhenius parame- ters given in Problem 10.8 and assume an initial spore concentration of 10A and a vitamin concentration of 30 mg/l. Time Temperature (°C) (min) 30 10 40 20 54 30 70 40 95 50 121 55 121 60 121 65 106 70 98 90 75 100 64 120 46 140 32 a. What is the probability of a successful sterilization? b. What fraction of the vitamin remains undegraded? c. What fraction of the vitamin is degraded in the sterilization period? d. What fraction of the vitamin is degraded in the heat-up and cool-down periods? e. What is the fraction of spores deactivated in the heat-up and cool-down cycles? 10.9. Consider the data given in the table on the temperature changes in a 10,000-1 fermenter, which includes the heat-up and cool-down periods. Use the values for the Arrhenius parame- ters given in Problem 10.8 and assume an initial spore concentration of 10A and a vitamin concentration of 30 mg/l. Time Temperature (°C) (min) 30 10 40 20 54 30 70 40 95 50 121 55 121 60 121 65 106 70 98 90 75 100 64 120 46 140 32 a. What is the probability of a successful sterilization? b. What fraction of the vitamin remains undegraded? c. What fraction of the vitamin is degraded in the sterilization period? d. What fraction of the vitamin is degraded in the heat-up and cool-down periods? e. What is the fraction of spores deactivated in the heat-up and cool-down cycles?

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