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Consider a 1000 L perfectly mixed bioreactor where the nutrient stream with a density of 1000g/L enters the bioreactor at the volumetric flowrate (Fv) of 10 L/hr. The bioreactor is working at steady state until the nutrient stream is contaminated with 5 mg/L of a pollutant. The bioreactor has been equipped with an online sensor that measures the concentration of the contaminant and shuts off the reactor when the concentration of contaminant reaches 2 mg/L. a. Write the unsteady state mass balance for the contaminant in the bioreactor (differential equation) and derive the concentration profile of the contaminant in the bioreactor as a function of time (integrate the differential equation. Note: time zero is the time that bioreactor is subjected to the contamination). b. Plot the concentration profile of the contaminant in the bioreactor versus time in Excel. c. What time does the bioreactor shut off?

Consider a 1000 L perfectly mixed bioreactor where the nutrient stream with a density of 1000g/L enters the bioreactor at the volumetric flowrate (Fv) of 10 L/hr. The bioreactor is working at steady state until the nutrient stream is contaminated with 5 mg/L of a pollutant. The bioreactor has been equipped with an online sensor that measures the concentration of the contaminant and shuts off the reactor when the concentration of contaminant reaches 2 mg/L. a. Write the unsteady state mass balance for the contaminant in the bioreactor (differential equation) and derive the concentration profile of the contaminant in the bioreactor as a function of time (integrate the differential equation. Note: time zero is the time that bioreactor is subjected to the contamination). b. Plot the concentration profile of the contaminant in the bioreactor versus time in Excel. c. What time does the bioreactor shut off?

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
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Problem 1 Consider a 1000 L perfectly mixed bioreactor where the nutrient stream with a density of 1000g/L enters the bioreactor at the volumetric flowrate (Fv) of 10 L/hr. The bioreactor is working at steady state until the nutrient stream is contaminated with 5 mg/L of a pollutant. The bioreactor has been equipped with an online sensor that measures the concentration of the contaminant and shuts off the reactor when the concentration of contaminant reaches 2 mg/L. a. Write the unsteady state mass balance for the contaminant in the bioreactor (differential equation) and derive the concentration profile of the contaminant in the bioreactor as a function of time (integrate the differential equation. Note: time zero is the time that bioreactor is subjected to the contamination). Plot the concentration profile of the contaminant in the bioreactor versus time in Excel. b. c. What time does the bioreactor shut off? Write the units of the parameters in the mass balance equation.
Transcribed Image Text:Problem 1 Consider a 1000 L perfectly mixed bioreactor where the nutrient stream with a density of 1000g/L enters the bioreactor at the volumetric flowrate (Fv) of 10 L/hr. The bioreactor is working at steady state until the nutrient stream is contaminated with 5 mg/L of a pollutant. The bioreactor has been equipped with an online sensor that measures the concentration of the contaminant and shuts off the reactor when the concentration of contaminant reaches 2 mg/L. a. Write the unsteady state mass balance for the contaminant in the bioreactor (differential equation) and derive the concentration profile of the contaminant in the bioreactor as a function of time (integrate the differential equation. Note: time zero is the time that bioreactor is subjected to the contamination). Plot the concentration profile of the contaminant in the bioreactor versus time in Excel. b. c. What time does the bioreactor shut off? Write the units of the parameters in the mass balance equation.
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