.0.13. The temperature history of the heating and cooling of a 40,000 I tank during sterilization of medium follows: 0 to 15 min, T = 85°C; 15 to 40 min, T = 121°C; 40 to 50 min, T = 85°C; 50 to 60 min, T = 55°C;> 60 min, T = 30°C. The medium contains vitamins, the most fragile of the vitamins has an activation energy for destruction of 10 kcal/g-mol and the value of a (see equation 10.18) is 1. 104 min-¹. Assume vitamin destruction is first order and the initial concentration is 50 mg/1. R is 1.99 cal/g-mol-K. The

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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10.13. The temperature history of the heating and cooling
of a 40,000 I tank during sterilization of medium
follows: 0 to 15 min, T= 85°C; 15 to 40 min, T =
121°C; 40 to 50 min, T= 85°C; 50 to 60 min, T=
55°C;> 60 min, T= 30°C. The medium contains
vitamins, the most fragile of the vitamins has an
activation energy for destruction of 10 kcal/g-mol and
the value of a (see equation 10.18) is 1· 104 min-1.
Assume vitamin destruction is first order and the initial
concentration is 50 mg/1. R is 1.99 cal/g-mol-K. The
medium contains 2.5-103 spores/l. The spores have an
Eod = 65 kcal/g-mol, and ka at 121°C is 1.02 min-1.
Estimate the probability of a successful sterilization.
What fraction of the vitamin remains active?
Transcribed Image Text:10.13. The temperature history of the heating and cooling of a 40,000 I tank during sterilization of medium follows: 0 to 15 min, T= 85°C; 15 to 40 min, T = 121°C; 40 to 50 min, T= 85°C; 50 to 60 min, T= 55°C;> 60 min, T= 30°C. The medium contains vitamins, the most fragile of the vitamins has an activation energy for destruction of 10 kcal/g-mol and the value of a (see equation 10.18) is 1· 104 min-1. Assume vitamin destruction is first order and the initial concentration is 50 mg/1. R is 1.99 cal/g-mol-K. The medium contains 2.5-103 spores/l. The spores have an Eod = 65 kcal/g-mol, and ka at 121°C is 1.02 min-1. Estimate the probability of a successful sterilization. What fraction of the vitamin remains active?
For most large-scale equipment and liquids, thermal
sterilization is used (filter sterilization is the only practical
alternative for liquids). Usually, the dependence of the
specific death rate on temperature is given by an Arrhenius
equation:
k = ae-Foal RT
where Ris the gas constant, Tis absolute temperature, and
Eod is the activation energy for the death of the organism.
Values for Eod range from about 50 to 150 kcal/g-mol. For
(10.18)
Transcribed Image Text:For most large-scale equipment and liquids, thermal sterilization is used (filter sterilization is the only practical alternative for liquids). Usually, the dependence of the specific death rate on temperature is given by an Arrhenius equation: k = ae-Foal RT where Ris the gas constant, Tis absolute temperature, and Eod is the activation energy for the death of the organism. Values for Eod range from about 50 to 150 kcal/g-mol. For (10.18)
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