Water at a rate of 4000 kg/hr is heated from 30 °C to 80 °C by pressurized water that enters the heat exchanger at 150 °C and a flow rate of 6000 kg/hr. A shell-and-tube heat exchanger is used in which the water makes two passes through the shell and the pressurized water makes four tube passes. The overall heat transfer coefficient of the heat exchanger is 350 W/m2.K. Please use LMTD method to calculate the area required for the heat exchanger. (Hint: Guessing to = 117 °C, then use Table A.6 to get cph) T, 1.0 0.9 6.0 4.0 3.0 2.0 1.5 1.0 0.8 0.6 0.4 0.2 0.8 0.7 0.6 T;-T, R% = 0.5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 T¡- li

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
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Heat Transfer Question 

**Problem #2:**

Water at a rate of 4000 kg/hr is heated from 30 °C to 80 °C by pressurized water that enters the heat exchanger at 150 °C and a flow rate of 6000 kg/hr. A shell-and-tube heat exchanger is used in which the water makes two passes through the shell and the pressurized water makes four tube passes. The overall heat transfer coefficient of the heat exchanger is 350 W/m²·K. Please use the LMTD method to calculate the area required for the heat exchanger. *(Hint: Guessing \( t_o = 117 \, ^\circ \text{C}, \) then use Table A.6 to get \( c_{p,h} \)).*

**Diagrams:**

1. **Heat Exchanger Diagram:**

   - The diagram illustrates a shell-and-tube heat exchanger. 
   - Water flows into the exchanger at two different points, showing two separate flow paths.
   - The inner tube has hot water entering and leaving, depicted with arrows labeled \( T_i \) (entrance) and \( t_o \) (exit).
   - The outer shell also shows two entry and exit points for cold water, labeled \( t_i \) and \( T_o \).

2. **Graph:**

   - The graph is a heat exchanger correction factor chart used for calculating the Log Mean Temperature Difference (LMTD).
   - The x-axis is labeled with the dimensionless parameter \( P = \frac{t_o - t_i}{T_i - t_i} \).
   - The y-axis represents the correction factor \( F \) ranging from 0.5 to 1.0.
   - Lines on the graph are marked with different values of the parameter \( R = \frac{T_i - T_o}{t_o - t_i} \), ranging from 0.2 to 6.0.
   - These lines help determine the correct factor for calculating the heat exchanger area based on \( R \) and \( P \) values.
Transcribed Image Text:**Problem #2:** Water at a rate of 4000 kg/hr is heated from 30 °C to 80 °C by pressurized water that enters the heat exchanger at 150 °C and a flow rate of 6000 kg/hr. A shell-and-tube heat exchanger is used in which the water makes two passes through the shell and the pressurized water makes four tube passes. The overall heat transfer coefficient of the heat exchanger is 350 W/m²·K. Please use the LMTD method to calculate the area required for the heat exchanger. *(Hint: Guessing \( t_o = 117 \, ^\circ \text{C}, \) then use Table A.6 to get \( c_{p,h} \)).* **Diagrams:** 1. **Heat Exchanger Diagram:** - The diagram illustrates a shell-and-tube heat exchanger. - Water flows into the exchanger at two different points, showing two separate flow paths. - The inner tube has hot water entering and leaving, depicted with arrows labeled \( T_i \) (entrance) and \( t_o \) (exit). - The outer shell also shows two entry and exit points for cold water, labeled \( t_i \) and \( T_o \). 2. **Graph:** - The graph is a heat exchanger correction factor chart used for calculating the Log Mean Temperature Difference (LMTD). - The x-axis is labeled with the dimensionless parameter \( P = \frac{t_o - t_i}{T_i - t_i} \). - The y-axis represents the correction factor \( F \) ranging from 0.5 to 1.0. - Lines on the graph are marked with different values of the parameter \( R = \frac{T_i - T_o}{t_o - t_i} \), ranging from 0.2 to 6.0. - These lines help determine the correct factor for calculating the heat exchanger area based on \( R \) and \( P \) values.
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