A batch process is operated with the following sequence. The feed to the batch process consists of a solution of 500 L of ethanol with 120 mole of A and 120 mole of B.  If the temperature of the solution is sufficient, A and B will react to form P (the desired product): A (eth) + B (eth) → P (s)             DHreact = − 250 kJ/mol                                                           (1) Note that the product P is sparingly soluble in ethanol, which helps facilitate its removal from the reaction solution.  It can be assumed that the reaction rate is first-order in both the concentration of A (cA) and B (cB), and so second-order    The volume and initial amounts of the two reactants might be varied from the stated values of 500 L, 120 moles and 120 moles respectively. For ethanol, the maximum solubility values are 0.6 mol/L and 0.25 mol/L for components A and B respectively at 50°C. write down the equation for the throughput per 24 hours, but using variables for the terms that are allowed to vary rather than the numbers as per the above.

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
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Chapter1: Introduction
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A batch process is operated with the following sequence. The feed to the batch process consists of a solution of 500 L of ethanol with 120 mole of A and 120 mole of B.  If the temperature of the solution is sufficient, A and B will react to form P (the desired product):

A (eth) + B (eth) → P (s)             DHreact = − 250 kJ/mol                                                           (1)

Note that the product P is sparingly soluble in ethanol, which helps facilitate its removal from the reaction solution.  It can be assumed that the reaction rate is first-order in both the concentration of A (cA) and B (cB), and so second-order 

 

The volume and initial amounts of the two reactants might be varied from the stated values of 500 L, 120 moles and 120 moles respectively. For ethanol, the maximum solubility values are 0.6 mol/L and 0.25 mol/L for components A and B respectively at 50°C.

write down the equation for the throughput per 24 hours, but using variables for the terms that are allowed to vary rather than the numbers as per the above.

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