A counterflow double-pipe heat exchanger with A, = 9.0 m is used for cooling a liquid stream (c, = 3.15 kJ/kg-K) at a rate of 10.0 kg/s with an inlet temperature of 90°C. The coolant (C, = 4.2 k/kg.K) enters the heat exchanger at a rate of 8.0 kg/s with an inlet temperature of 10°C. The plant data gave the following equation for the overall heat transfer coefficient in W/m²-K: U = 600/(1/mos + 2/m0s), where m # c and m #h are the cold-and hot-stream flow rates in kg/s, respectively. (a) Calculate the rate of heat transfer and the outlet stream temperatures for this unit. (b) The existing unit is to be replaced. A vendor is offering a very attractive discount on two identical heat exchangers that are presently stocked in its warehouse, each with A, 5 = m?. Because the tube diameters in the existing and new units are the same, the above heat transfer coefficient equation is expected to be valid for the new units as well. The vendor is proposing that the two new units could be operated in parallel, such that each unit would process exactly one-half the flow rate of each of the hot and cold streams in a counter flow manner; hence, they together would meet (or exceed) the present plant heat duty. Give your recommendation, with supporting calculations, on this replacement proposal.
A counterflow double-pipe heat exchanger with A, = 9.0 m is used for cooling a liquid stream (c, = 3.15 kJ/kg-K) at a rate of 10.0 kg/s with an inlet temperature of 90°C. The coolant (C, = 4.2 k/kg.K) enters the heat exchanger at a rate of 8.0 kg/s with an inlet temperature of 10°C. The plant data gave the following equation for the overall heat transfer coefficient in W/m²-K: U = 600/(1/mos + 2/m0s), where m # c and m #h are the cold-and hot-stream flow rates in kg/s, respectively. (a) Calculate the rate of heat transfer and the outlet stream temperatures for this unit. (b) The existing unit is to be replaced. A vendor is offering a very attractive discount on two identical heat exchangers that are presently stocked in its warehouse, each with A, 5 = m?. Because the tube diameters in the existing and new units are the same, the above heat transfer coefficient equation is expected to be valid for the new units as well. The vendor is proposing that the two new units could be operated in parallel, such that each unit would process exactly one-half the flow rate of each of the hot and cold streams in a counter flow manner; hence, they together would meet (or exceed) the present plant heat duty. Give your recommendation, with supporting calculations, on this replacement proposal.
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:A counterflow double-pipe heat exchanger with Ag = 9.0 m? is used for cooling a liquid stream (c, = 3.15 kJ/kg-K) at a rate of 10.0 kg/s with an inlet temperature of 90°C. The coolant (c, =
4.2 kJ/kg.K) enters the heat exchanger at a rate of 8.0 kg/s with an inlet temperature of 10°C. The plant data gave the following equation for the overall heat transfer coefficient in
W/m²-K: U = 600/(1/mos + 2/m 0.5), where m # c and m # h are the cold-and hot-stream flow rates in kg/s, respectively. (a) Calculate the rate of heat transfer and the outlet stream
temperatures for this unit. (b) The existing unit is to be replaced. A vendor is offering a very attractive discount on two identical heat exchangers that are presently stocked in its
warehouse, each with A, 5 = m². Because the tube diameters in the existing and new units are the same, the above heat transfer coefficient equation is expected to be valid for the new
units as well. The vendor is proposing that the two new units could be operated in parallel, such that each unit would process exactly one-half the flow rate of each of the hot and cold
streams in a counter flow manner; hence, they together would meet (or exceed) the present plant heat duty. Give your recommendation, with supporting calculations, on this replacement
proposal.
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