A ¾ inch (outside diameter) copper pipe with a wall thickness of 4mm has hot water running through it at a temperature of 95°C. If the pipe is located in a room that is at 18°C, what is the outside temperature of the pipe and the rate of heat transfer rate from the pipe to the room air? Given h = 2 w/m²k, Kcopper = 401 W/m k, (State all assumptions and Show All Work)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Problem Statement

A ¾ inch (outside diameter) copper pipe with a wall thickness of 4mm has hot water running through it at a temperature of 95°C. If the pipe is located in a room that is at 18°C, what is the outside temperature of the pipe and the rate of heat transfer rate from the pipe to the room air?

**Given:**
- Convective heat transfer coefficient, \( h = 2 \, \text{W/m}^2\text{K} \)
- Thermal conductivity of copper, \( K_{\text{copper}} = 401 \, \text{W/m K} \)

**Instructions:**
- State all assumptions
- Show all work
Transcribed Image Text:### Problem Statement A ¾ inch (outside diameter) copper pipe with a wall thickness of 4mm has hot water running through it at a temperature of 95°C. If the pipe is located in a room that is at 18°C, what is the outside temperature of the pipe and the rate of heat transfer rate from the pipe to the room air? **Given:** - Convective heat transfer coefficient, \( h = 2 \, \text{W/m}^2\text{K} \) - Thermal conductivity of copper, \( K_{\text{copper}} = 401 \, \text{W/m K} \) **Instructions:** - State all assumptions - Show all work
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