Batch processes are often used in chemical and

Chapter 5, Problem 5.19

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Batch processes are often used in chemical and pharma-ceutical operations to achieve a desired chemical composition for the final product and typically involvea transient heating operation to take the product fromroom temperature to the desired process temperature.Consider a situation for which a chemical of density??l200 kg/m3and specific heat c?2200 J/kg?K occu-pies a volume of V?2.25 m3in an insulated vessel. Thechemical is to be heated from room temperature,Ti?300 K, to a process temperature of T?450 K bypassing saturated steam at Th?500 K through a coiled,thin-walled, 20-mm- diameter tube in the vessel. Steamcondensation within the tube maintains an interior con-vection coefficient of hi?10,000 W/m2?K, while thehighly agitated liquid in the stirred vessel maintains anoutside convection coefficient of ho?2000 W/m2?K. If the chemical is to be heated from 300 to 450 K in60 min, what is the required length Lof the submergedtubing?

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