5- The liquid-phase hydrolysis of dilute aqueous acetic anhydride solution is second order and irreversible, as indicated by the reaction (CH3CO0),CO + H20 → 2CH;CO0H A batch reactor for carrying out the hydrolysis is charged with 200 liters of anhydride solution at 15 °C, at anhydride initial concentration of 2.16 x 104 (mol/cm³). The specific heat and density of the reaction mixture are essentially constant and equal to 0.9 (cal/g °C) and 1.05 (g/cm³), respectively. The heat of reaction may be assumed constant at (-50,000 cal/mol). The rate has been investigated over a range of temperatures, of which the following results are typical. T (°C) 10 15 25 40 -TA gmol/cm³.min 0.0567CA 0.0806CA 0.158CA 0.38CA where CA is the acetic anhydride concentration, in moles per cubic centimeter. (a) Explain why the rate expression can be written as shown in the table even though the reaction is second order. (b) If the reactor is cooled so that operation is isothermal at 15 °C, what time would be SO required to obtain a conversion of 70 % of the anhydride? How much heat would need to be added (removed) during this period? (c) Determine an analytical expression for the rate of reaction in terms of temperature and concentration.
5- The liquid-phase hydrolysis of dilute aqueous acetic anhydride solution is second order and irreversible, as indicated by the reaction (CH3CO0),CO + H20 → 2CH;CO0H A batch reactor for carrying out the hydrolysis is charged with 200 liters of anhydride solution at 15 °C, at anhydride initial concentration of 2.16 x 104 (mol/cm³). The specific heat and density of the reaction mixture are essentially constant and equal to 0.9 (cal/g °C) and 1.05 (g/cm³), respectively. The heat of reaction may be assumed constant at (-50,000 cal/mol). The rate has been investigated over a range of temperatures, of which the following results are typical. T (°C) 10 15 25 40 -TA gmol/cm³.min 0.0567CA 0.0806CA 0.158CA 0.38CA where CA is the acetic anhydride concentration, in moles per cubic centimeter. (a) Explain why the rate expression can be written as shown in the table even though the reaction is second order. (b) If the reactor is cooled so that operation is isothermal at 15 °C, what time would be SO required to obtain a conversion of 70 % of the anhydride? How much heat would need to be added (removed) during this period? (c) Determine an analytical expression for the rate of reaction in terms of temperature and concentration.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:5- The liquid-phase hydrolysis of dilute aqueous acetic anhydride solution is second order and
irreversible, as indicated by the reaction
(CH3CO0),C0 + H20 → 2CH3COOH
A batch reactor for carrying out the hydrolysis is charged with 200 liters of anhydride
solution at 15 °C, at anhydride initial concentration of 2.16 x 104 (mol/cm³). The specific
heat and density of the reaction mixture are essentially constant and equal to 0.9 (cal/g °C)
and 1.05 (g/cm'), respectively. The heat of reaction may be assumed constant at (-50,000
cal/mol). The rate has been investigated over a range of temperatures, of which the
following results are typical.
T (°C)
10
15
25
40
-TA gmol/cm³.min
0.0567CA
0.0806CA
0.158CA
0.38CA
where CA is the acetic anhydride concentration, in moles per cubic centimeter.
(a) Explain why the rate expression can be written as shown in the table even though the
reaction is second order.
(b) If the reactor is cooled so that operation is isothermal at 15 °C, what time would be
required to obtain a conversion of 70 % of the anhydride? How much heat would need to
be added (removed) during this period?
(c) Determine an analytical expression for the rate of reaction in terms of temperature and
concentration.
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