A fermenter is maintained at 35 °C by water circulating at a rate of 0.5 kg/s in a cooling coil inside the vessel. The inlet and outlet temperatures of the water are 8 °C and 15 °C, respectively. The length of the cooling coil is increased by 50%. In order to maintain the same fermentation temperature, the rate of heat removal must be kept the same. Determine the new cooling- water flow rate and outlet temperature by carrying out the following calculations. The heat capacity of the cooling water can be taken as 4.18 kJ/kg°C. (a) From a steady-state energy balance on the cooling water, calculate the rate of cooling with the original coil. (b) Determine the mean temperature difference with the original coil. (c) Evaluate UA for the original coil. (d) If the length of the coil is increased by 50%, the area available for heat transfer, A', also increases by 50% so that A' = 1.5 A. The value of the overall heat-transfer coefficient s not expected to change very much. For the new coil, what is now the new cooling-water outlet tomperature 2
A fermenter is maintained at 35 °C by water circulating at a rate of 0.5 kg/s in a cooling coil inside the vessel. The inlet and outlet temperatures of the water are 8 °C and 15 °C, respectively. The length of the cooling coil is increased by 50%. In order to maintain the same fermentation temperature, the rate of heat removal must be kept the same. Determine the new cooling- water flow rate and outlet temperature by carrying out the following calculations. The heat capacity of the cooling water can be taken as 4.18 kJ/kg°C. (a) From a steady-state energy balance on the cooling water, calculate the rate of cooling with the original coil. (b) Determine the mean temperature difference with the original coil. (c) Evaluate UA for the original coil. (d) If the length of the coil is increased by 50%, the area available for heat transfer, A', also increases by 50% so that A' = 1.5 A. The value of the overall heat-transfer coefficient s not expected to change very much. For the new coil, what is now the new cooling-water outlet tomperature 2
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:Problem 2
A fermenter is maintained at 35 °C by water circulating at a rate of 0.5 kg/s in a cooling coil
inside the vessel. The inlet and outlet temperatures of the water are 8 °C and 15 °C,
respectively.
The length of the cooling coil is increased by 50%. In order to maintain the same fermentation
temperature, the rate of heat removal must be kept the same. Determine the new cooling-
water flow rate and outlet temperature by carrying out the following calculations. The heat
capacity of the cooling water can be taken as 4.18 kJ/kg°C.
(a) From a steady-state energy balance on the cooling water, calculate the rate of cooling with
the original coil.
(b) Determine the mean temperature difference with the original coil.
(c) Evaluate UA for the original coil.
(d) If the length of the coil is increased by 50%, the area available for heat transfer, A', also
increases by 50% so that A' = 1.5 A. The value of the overall heat-transfer coefficient s not
expected to change very much. For the new coil, what is now the new cooling-water outlet
tomporaturo ?
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