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Derive the conduction equation that predicts q (T, X) as a function of T and X for the stopper shown below. The cross-sectional area is a circle, whose diameter increases down the length of the shape and the thermal conductivity is not constant. If T₁ = 750K, T2 = 300K, X₁ = 0.01m and X2 = 0.8m what is the flux (W) across the stopper? All the units on the constants (0.2, 10 and 0.008) are SI (W, m, and K). Be careful with units and calculus! q X₁ T₁ *(T) = 10 +8x10-³7² X₂ T2 D = 0.2-X²

Derive the conduction equation that predicts q (T, X) as a function of T and X for the stopper shown below. The cross-sectional area is a circle, whose diameter increases down the length of the shape and the thermal conductivity is not constant. If T₁ = 750K, T2 = 300K, X₁ = 0.01m and X2 = 0.8m what is the flux (W) across the stopper? All the units on the constants (0.2, 10 and 0.008) are SI (W, m, and K). Be careful with units and calculus! q X₁ T₁ *(T) = 10 +8x10-³7² X₂ T2 D = 0.2-X²

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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Derive the conduction equation that predicts q (T, X) as a function of T and X for the stopper shown below. The cross-sectional area is a circle, whose diameter increases down the length of the shape and the thermal conductivity is not constant. If T₁ = 750K, T2 = 300K, X₁ = 0.01m and X₂ = 0.8m what is the flux (W) across the stopper? All the units on the constants (0.2, 10 and 0.008) are SI (W, m, and K). Be careful with units and calculus! q X₁ T₁ *(T) = 10 + 8 x 10-³7² X₂ T₂ D=0.2-X2
Transcribed Image Text:Derive the conduction equation that predicts q (T, X) as a function of T and X for the stopper shown below. The cross-sectional area is a circle, whose diameter increases down the length of the shape and the thermal conductivity is not constant. If T₁ = 750K, T2 = 300K, X₁ = 0.01m and X₂ = 0.8m what is the flux (W) across the stopper? All the units on the constants (0.2, 10 and 0.008) are SI (W, m, and K). Be careful with units and calculus! q X₁ T₁ *(T) = 10 + 8 x 10-³7² X₂ T₂ D=0.2-X2
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