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A round copper rod sticks through the thin, insulated wall of a tank of hot water and into the air inside a room. The diameter of the rod is 20 mm. The copper rod extends 100 mm into the water in the tank and 200 mm into the air in the room. The ends of the copper rod are uninsulated. The temperature of the hot water in the tank is Tw = 95°C and hw = 780 W/m² K for the water. The temperature of the air in the room is T₁ = 20°C and h₁ = 35 W/m² K for the air. a) Find the rate of heat transfer through the rod from the water in the tank to the air in the room (answer: 24 W). b) Find the temperature of the copper rod at the location where it passes through the tank wall (answer: 85°C). -100 mm Tank wall 111 Tw=95°C hw = 780 W/m².K 200 mm- T₁ = 20°C h = 35 W/m².K -D = 20 mm

A round copper rod sticks through the thin, insulated wall of a tank of hot water and into the air inside a room. The diameter of the rod is 20 mm. The copper rod extends 100 mm into the water in the tank and 200 mm into the air in the room. The ends of the copper rod are uninsulated. The temperature of the hot water in the tank is Tw = 95°C and hw = 780 W/m² K for the water. The temperature of the air in the room is T₁ = 20°C and h₁ = 35 W/m² K for the air. a) Find the rate of heat transfer through the rod from the water in the tank to the air in the room (answer: 24 W). b) Find the temperature of the copper rod at the location where it passes through the tank wall (answer: 85°C). -100 mm Tank wall 111 Tw=95°C hw = 780 W/m².K 200 mm- T₁ = 20°C h = 35 W/m².K -D = 20 mm

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A round copper rod sticks through the thin, insulated wall of a tank of hot water and into the air inside a room. The diameter of the rod is 20 mm. The copper rod extends 100 mm into the water in the tank and 200 mm into the air in the room. The ends of the copper rod are uninsulated. The temperature of the hot water in the tank is Tw=95°C and hw = 780 W/m² K for the water. The temperature of the air in the room is T₁ = 20°C and h₁ = 35 W/m².K for the air. a) Find the rate of heat transfer through the rod from the water in the tank to the air in the room (answer: 24 W). b) Find the temperature of the copper rod at the location where it passes through the tank wall (answer: 85°C). 100 mm Tank wall Tw=95°C hw = 780 W/m².K -200 mm 111 T₁ = 20°C h = 35 W/m².K -D=20 mm
Transcribed Image Text:A round copper rod sticks through the thin, insulated wall of a tank of hot water and into the air inside a room. The diameter of the rod is 20 mm. The copper rod extends 100 mm into the water in the tank and 200 mm into the air in the room. The ends of the copper rod are uninsulated. The temperature of the hot water in the tank is Tw=95°C and hw = 780 W/m² K for the water. The temperature of the air in the room is T₁ = 20°C and h₁ = 35 W/m².K for the air. a) Find the rate of heat transfer through the rod from the water in the tank to the air in the room (answer: 24 W). b) Find the temperature of the copper rod at the location where it passes through the tank wall (answer: 85°C). 100 mm Tank wall Tw=95°C hw = 780 W/m².K -200 mm 111 T₁ = 20°C h = 35 W/m².K -D=20 mm
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