i need solution for question 4 please .

i need the solution for question 4 about this assignment please !

Process description A batch process is operated with the following sequence. The feed to the batch process consists of a solution of 500L 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)Hreact=100kJ/mol Note that the product P is sparingly soluble in ethanol, which better 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: tA=kcAcB The batch process consists of the following steps: Initially, the tank is empty. 1. Fill tank with solution (ethanol/A/B). Increase temperature of the feed from 20C to 50C (1 hour) 2. Reaction takes place isothermally at 50C (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) 6. The filtrate (containing the unreacted A and B ) is then returned to the reaction vessel, where the components are topped up to the initial amounts specified above. The time for the transfer and top-up can be neglected. The whole process is then repeated. Information on stage times 1. It can be assumed that the heating time for Stage 1(t1) is proportional to the change in temperature (which is 30C in the case above). This would assume a constant-power heater. The heat capacity of the solution can be taken to be 500kJ/K. 2. For a batch reactor, assuming an overall second-order dependency, the reaction time (t2) is related to the fractional conversion (X) by: t2=k(cA)01(1xx) where k is the rate constant (which increases with temperature) and (cA)0 is the initial concentration of component A. At the completion of the reaction, the final concentration and amount of product are (cp) Process description A batch process is operated with the following sequence. The feed to the batch process consists of a solution of 500L 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)Hreact=100kJ/mol Note that the product P is sparingly soluble in ethanol, which better 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: tA=kcAcB The batch process consists of the following steps: Initially, the tank is empty. 1. Fill tank with solution (ethanol/A/B). Increase temperature of the feed from 20C to 50C (1 hour) 2. Reaction takes place isothermally at 50C (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) 6. The filtrate (containing the unreacted A and B ) is then returned to the reaction vessel, where the components are topped up to the initial amounts specified above. The time for the transfer and top-up can be neglected. The whole process is then repeated. Information on stage times 1. It can be assumed that the heating time for Stage 1(t1) is proportional to the change in temperature (which is 30C in the case above). This would assume a constant-power heater. The heat capacity of the solution can be taken to be 500kJ/K. 2. For a batch reactor, assuming an overall second-order dependency, the reaction time (t2) is related to the fractional conversion (X) by: t2=k(cA)01(1xx) where k is the rate constant (which increases with temperature) and (cA)0 is the initial concentration of component A. At the completion of the reaction, the final concentration and amount of product are (cp)