A heat exchanger is a system used to transfer heat between two or more fluids. Consider the steady flow of a substance through a heat exchanger at atmospheric pressure and determine the exit temperature of the substance for the following processes. The constant-pressure heat capacities are well described by the following equation: P = A + BT+CT², T[=]K R (1.1) where A = 1.924, B = 14.394 × 10-³ K-¹, and C = -4.392×10-6 K-2 for ethylene, and A = = 1.967, B = 31.630 × 10-³ K-1, and C = -9.873×10-6 K-2 for 1-butene. (a) Ethylene at 200°C is fed at 10 mol/s into a heat exchanger that adds heat at a rate of 400 kW. Hint: To obtain a numerical solution, you may need to use a "solver" or an iterative method. (b) 1-butene at 260°C is fed at 15 mol/s into a heat exchanger that adds heat at a rate of 2000 kW. Now suppose you take the streams exiting from (a) and (b) and allow them to exchange heat between each other. Both streams exit at the same final temperature. (c) What is the exit temperature of both streams and at what rate is heat exchanged in the process? Hint: For this part, it may be useful to consider writing two energy balances with different choices of systems.
A heat exchanger is a system used to transfer heat between two or more fluids. Consider the steady flow of a substance through a heat exchanger at atmospheric pressure and determine the exit temperature of the substance for the following processes. The constant-pressure heat capacities are well described by the following equation: P = A + BT+CT², T[=]K R (1.1) where A = 1.924, B = 14.394 × 10-³ K-¹, and C = -4.392×10-6 K-2 for ethylene, and A = = 1.967, B = 31.630 × 10-³ K-1, and C = -9.873×10-6 K-2 for 1-butene. (a) Ethylene at 200°C is fed at 10 mol/s into a heat exchanger that adds heat at a rate of 400 kW. Hint: To obtain a numerical solution, you may need to use a "solver" or an iterative method. (b) 1-butene at 260°C is fed at 15 mol/s into a heat exchanger that adds heat at a rate of 2000 kW. Now suppose you take the streams exiting from (a) and (b) and allow them to exchange heat between each other. Both streams exit at the same final temperature. (c) What is the exit temperature of both streams and at what rate is heat exchanged in the process? Hint: For this part, it may be useful to consider writing two energy balances with different choices of systems.
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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![A heat exchanger is a system used to transfer heat between two or more fluids. Consider the
steady flow of a substance through a heat exchanger at atmospheric pressure and determine the
exit temperature of the substance for the following processes. The constant-pressure heat capacities
are well described by the following equation:
Cp
R
= A + BT+ CT², T[=]K
(1.1)
1.967,
=
where A = 1.924, B = 14.394 × 10-³ K-¹, and C = -4.392×10-6 K-2 for ethylene, and A
B = 31.630 × 10-³ K-1, and C = -9.873x10-6 K-2 for 1-butene.
(a) Ethylene at 200°C is fed at 10 mol/s into a heat exchanger that adds heat at a rate of 400 kW.
Hint: To obtain a numerical solution, you may need to use a "solver" or an iterative method.
(b) 1-butene at 260°C is fed at 15 mol/s into a heat exchanger that adds heat at a rate of 2000 kW.
Now suppose you take the streams exiting from (a) and (b) and allow them to exchange heat
between each other. Both streams exit at the same final temperature.
(c) What is the exit temperature of both streams and at what rate is heat exchanged in the process?
Hint: For this part, it may be useful to consider writing two energy balances with different choices
of systems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0ff916c-a9ca-4791-8d5c-b57cb6fa675f%2Fe6afefd4-d122-487e-a237-8cb034d8e00e%2F9ti7ug_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A heat exchanger is a system used to transfer heat between two or more fluids. Consider the
steady flow of a substance through a heat exchanger at atmospheric pressure and determine the
exit temperature of the substance for the following processes. The constant-pressure heat capacities
are well described by the following equation:
Cp
R
= A + BT+ CT², T[=]K
(1.1)
1.967,
=
where A = 1.924, B = 14.394 × 10-³ K-¹, and C = -4.392×10-6 K-2 for ethylene, and A
B = 31.630 × 10-³ K-1, and C = -9.873x10-6 K-2 for 1-butene.
(a) Ethylene at 200°C is fed at 10 mol/s into a heat exchanger that adds heat at a rate of 400 kW.
Hint: To obtain a numerical solution, you may need to use a "solver" or an iterative method.
(b) 1-butene at 260°C is fed at 15 mol/s into a heat exchanger that adds heat at a rate of 2000 kW.
Now suppose you take the streams exiting from (a) and (b) and allow them to exchange heat
between each other. Both streams exit at the same final temperature.
(c) What is the exit temperature of both streams and at what rate is heat exchanged in the process?
Hint: For this part, it may be useful to consider writing two energy balances with different choices
of systems.
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