Decomposition of acetylated castor oil

The batch decomposition of acetylated castor oil to drying oil proceeds via the following reaction ... 

CASTOR - Batch Decomposition of Acetylated Castor Oil System... 

Batch Decomposition of Acetylated Castor Oil 243 Dispersion Model for Chromatography Columns 483 Stagewise Model for Chromatography Columns 486 Complex Reaction 237 Continuous Flow Tank 406... 

Example 5-1 In a study of the production of drying oils by the decomposition of acetylated castor oil, Grummitt and Fleming were able to correlate decomposition data on the basis of a first-order reaction written as... 

A reactor for the production of drying oils by the decomposition of acetylated castor oil is to be designed for a conversion of 70%. The initial charge will be 500 lb and the initial temperature 340°C, as in Example 5-1. In fact, all the conditions of Example 5-1 apply, except instead of adiabatic operation, heat will be supplied electrically with a cal-rod unit in the form of a l-in.-OD coil inraiersed in the reaction mixture. The power input and the stirring in the reactor will be such that the surface temperature of the heater is maintained constant at 700°K. The heat-transfer coefficient may be taken equal to 60 Btu/ (hr)(ft )(°F). What length of heater will be required if the conversion of 70% is to be obtained in 20 min ... 

If a batch reactor initially contains 500 lb of acetylated castor oil at 340°C (density 0.90) and the operation is adiabatic, plot curves of conversion (fraction of the acetylated oil that is decomposed) and temperature vs time. It is estimated that the endothermic heat effect for this reaction is 15,000 cal/g mole of acetic acid vapor. The acetylated oil charged to the reactor contains 0.156 g of equivalent acetic acid per gram of oil i.e., complete decomposition of 1 g of the oil would yield 0.156 g of acetic acid. Assume that the specific heat of the liquid reaction mixture is constant and equal to 0.6 Btu/(lb)(°F). Also assume that the acetic acid vapor produced leaves the reactor at the temperature of the reaction mixture. 

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