To produce peptides for use in your revolutionary toothpaste, you have engineere

Question

To produce peptides for use in your revolutionary toothpaste, you have engineered an enzyme that is supposed to break down protein A into peptide B. The enzyme has its optimal activity at 37 C, so a process must be designed to maintain this temperature at all times. A batch reactor process is used; i.e. the bioreactor is filled with an initial quantity of enzyme and protein and is permitted to run until the precursor is almost completely exhausted. The ratio of moles of protein A consumed to polypeptide B produced is 1:3. The reaction is irreversible and follows Michaelis-Menton kinetics with Vmax of 1 mol/(L*hr) and Km of 1.5*10^-2 mol/L. Calculate the time required to consume 99% of the precursor and the number of moles of peptide B produced during that time. Because the reaction is exothermic, for every mole of B produced, 10 kJ of energy is released. Heat is removed by means of a heat exchanger that dissipates excess heat via a chilled water stream and can be modeled by the equation:Qdot=h.Area(Tbioreactor-Twater)

Where h is the heat transfer coefficient, Area is the surface area of the exchanger, Tbioreactor is the temperature of the bioreactor, and Twater is the temperature of the chilled water stream. The heat transfer coefficient, h, is a function of Vdot, the volumetric flow rate of the chilled water. The following data are provided:

Vb(Volume of bioreactor)=10L

Ca0(initial concenteration of protein A)=150 mmol/L

Twater(temprature of chilled water)=4 degree centigrad

Area(surface area of bioreactor)=5 m^2

h(Vdot)(heat transfer coefficient)=Vdot.100 kJ/m^5.K

Calculate the total heat removed from the system in kJ during the calculated time period and determine the flow rate of water Vdot as a function of time in L/min and the temperature of the water as it leaves the cooling system

Explanation / Answer

To produce peptides for use in your revolutionary toothpaste, you have engineere

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