10.9. Consider the data given in the table on the temperature changes in a 10,0001 fermenter,...
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10.9. Consider the data given in the table on the temperature changes in a 10,0001 fermenter, which includes the heatup and cooldown 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 heatup and cooldown periods? e. What is the fraction of spores deactivated in the heatup and cooldown cycles? 10.9. Consider the data given in the table on the temperature changes in a 10,0001 fermenter, which includes the heatup and cooldown 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 heatup and cooldown periods? e. What is the fraction of spores deactivated in the heatup and cooldown cycles?
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Mathematical Applications for the Management Life and Social Sciences
ISBN: 9781305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds
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