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 overall:                                                                                                                            (2) The batch process consists of the following FOUR steps: Initially, the tank is empty. Fill tank with solution (ethanol/A/B).Increase temperature of the feed from 20°C to 50°C (1 hour) Reaction takes place isothermally at 50°C (4 hours, to give conversion of 50%) Filtration of reaction solution to give product P (2 hours) Drying with hot nitrogen gas followed by the removal of powder product (3 hours) It can be assumed that the heating time for Stage 1 (t1) is proportional to the change in temperature (which is 30°C in the case above).  This would assume a constant-power heater.  The heat capacity of the solution can be taken to be 500 kJ/K.   The batch process does not include any heat integration.  List the various heat loads and outline a strategy to allow for the inclusion of a simple HEN with this single equipment unit.

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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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 overall:

                                                                                                                           (2)

The batch process consists of the following FOUR steps:

Initially, the tank is empty.

  1. Fill tank with solution (ethanol/A/B).Increase temperature of the feed from 20°C to 50°C (1 hour)
  2. Reaction takes place isothermally at 50°C (4 hours, to give conversion of 50%)
  3. Filtration of reaction solution to give product P (2 hours)
  4. Drying with hot nitrogen gas followed by the removal of powder product (3 hours)

It can be assumed that the heating time for Stage 1 (t1) is proportional to the change in temperature (which is 30°C in the case above).  This would assume a constant-power heater.  The heat capacity of the solution can be taken to be 500 kJ/K.

 

The batch process does not include any heat integration. 

List the various heat loads and outline a strategy to allow for the inclusion of a simple HEN with this single equipment unit.

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