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A procedure for determining the thermal conductivity of a solid material involves embedding a thermocouple in a very thick slab of the solid and measuring the response to a prescribed temperature change at one surface. Consider an arrangement for which the thermocouple is embedded 10 mm from a surface that is suddenly brought to a temperature of 100°C by exposure to boiling water. If the initial temperature of the solid was 30°C and the thermocouple measures a temperature of 65°C two minutes after the surface is brought to 100°C, determine the thermal conductivity. How much heat per unit area (J/m?) is added to the solid during the two minutes? The density p and heat capacity C,of the material are known to be 2200 kg/m³ and 700 J/kg·K. p

A procedure for determining the thermal conductivity of a solid material involves embedding a thermocouple in a very thick slab of the solid and measuring the response to a prescribed temperature change at one surface. Consider an arrangement for which the thermocouple is embedded 10 mm from a surface that is suddenly brought to a temperature of 100°C by exposure to boiling water. If the initial temperature of the solid was 30°C and the thermocouple measures a temperature of 65°C two minutes after the surface is brought to 100°C, determine the thermal conductivity. How much heat per unit area (J/m?) is added to the solid during the two minutes? The density p and heat capacity C,of the material are known to be 2200 kg/m³ and 700 J/kg·K. p

Introduction to Chemical Engineering Thermodynamics
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 procedure for determining the thermal conductivity of a solid material involves embedding a thermocouple in a very thick slab of the solid and measuring the response to a prescribed temperature change at one surface. Consider an arrangement for which the thermocouple is embedded 10 mm from a surface that is suddenly brought to a temperature of 100°C by exposure to boiling water. If the initial temperature of the solid was 30°C and the thermocouple measures a temperature of 65°C two minutes after the surface is brought to 100°C, determine the thermal conductivity. How much heat per unit area (J/m²) is added to the solid during the two minutes? The density ρ and heat capacity \( \hat{C}_{p} \) of the material are known to be 2200 kg/m³ and 700 J/kg·K.
Transcribed Image Text:A procedure for determining the thermal conductivity of a solid material involves embedding a thermocouple in a very thick slab of the solid and measuring the response to a prescribed temperature change at one surface. Consider an arrangement for which the thermocouple is embedded 10 mm from a surface that is suddenly brought to a temperature of 100°C by exposure to boiling water. If the initial temperature of the solid was 30°C and the thermocouple measures a temperature of 65°C two minutes after the surface is brought to 100°C, determine the thermal conductivity. How much heat per unit area (J/m²) is added to the solid during the two minutes? The density ρ and heat capacity \( \hat{C}_{p} \) of the material are known to be 2200 kg/m³ and 700 J/kg·K.
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