Two cylinders of different materials are brought into contact as shown in Fig. 2.15. Cylinder l is 2mlong with cross sectional area of 0.03 m? and thermal conductivity 0.7 W m-'K-ĭ Cylinder 2 is 3 m long with cross sectional area of 0.04 m² and unknown thermal conductivity. The temperatures at each end of the apparatus are 280 (T) and 310 K (T,), as shown in Fig. 2.15. If the temperature at the point of juncture is 300 K, find the thermal conductivity of cylinder 2. Your solution contains an assumption not discussed in Chapter 2. What is it?

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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2.14. Two cylinders of different materials are brought into contact as shown in Fig.
2.15. Cylinder 1 is 2mlong with cross sectional area of 0.03 m? and thermal
conductivity 0.7 W m-'K-. Cylinder 2 is 3 m long with cross sectional area of
0.04 m? and unknown thermal conductivity. The temperatures at each end of the
apparatus are 280 (T) and 310 K (T,), as shown in Fig. 2.15. If the temperature at
the point of junctùre is 300 K, find the thermal conductivity of cylinder 2. Y our
solution contains an assumption not discussed in Chapter 2. What is it?
2.15. A conditioning room has an atmosphere of air with a 30mle percent CO,
concentration. Outside of the room, the concentration of CO, is very small;
however, there is a hole in the wall. The pressure is 1 atm and the temperature is
25°C. Under these conditions, the diffusivity of CO, in air is 0.164 x 10-4m? s-'.
Insulation
Cylinder 1
Cylinder 2
FIGURE 2.15
Heat transfer in adjoining cylinders
7, (Problems 2.13 and 2.14).
MOLECULAR TRANSPORT MECIHANISMS 57
The hole is 10 cm in diameter, and the wall is 30 cm thick. Determine
(a) the amount of CO, that exits the room (km01 h-')
(b) the amount of air that enters the room (kg h")
Transcribed Image Text:2.14. Two cylinders of different materials are brought into contact as shown in Fig. 2.15. Cylinder 1 is 2mlong with cross sectional area of 0.03 m? and thermal conductivity 0.7 W m-'K-. Cylinder 2 is 3 m long with cross sectional area of 0.04 m? and unknown thermal conductivity. The temperatures at each end of the apparatus are 280 (T) and 310 K (T,), as shown in Fig. 2.15. If the temperature at the point of junctùre is 300 K, find the thermal conductivity of cylinder 2. Y our solution contains an assumption not discussed in Chapter 2. What is it? 2.15. A conditioning room has an atmosphere of air with a 30mle percent CO, concentration. Outside of the room, the concentration of CO, is very small; however, there is a hole in the wall. The pressure is 1 atm and the temperature is 25°C. Under these conditions, the diffusivity of CO, in air is 0.164 x 10-4m? s-'. Insulation Cylinder 1 Cylinder 2 FIGURE 2.15 Heat transfer in adjoining cylinders 7, (Problems 2.13 and 2.14). MOLECULAR TRANSPORT MECIHANISMS 57 The hole is 10 cm in diameter, and the wall is 30 cm thick. Determine (a) the amount of CO, that exits the room (km01 h-') (b) the amount of air that enters the room (kg h")
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