Organic esters are an important class of chemicals. The most common way to produce them is the acid catalyzed reaction between carboxylic acids and alcohols. In this particular case methanol (A) and butyric acid (B) are converted to methyl butyrate (C) and water (D). The liquid phase reaction is performed in the presence of a sorbent that quantitatively and selectively removes water from the reaction mixture. The reaction is performed at 70 C. At the same temperature the rate equation was determined as -TB 0.179 L mol h CA CB Initial concentrations of reactants are: CAO = 5 mol L-1 CB0 = 1 molL-1 A conversion of 80% is desired in this process. The reaction could be performed in a tubular plug flow reactor (PFR) with a length of 12 ft and an inner diameter of 12 in. Which volume flow can be processed in this reactor? Alternatively a batch reactor could be used. Assume that it takes 1 h to empty and refill the batch reactor after every reaction. What is the volume of a batch reactor that produces C at the same rate (moles C per hour) as the PFR? Assume that the batch reactor is a cylinder with a height that is twice its diameter. Calculate the dimensions of the batch reactor.