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Heat is conducted through a tapered circular rod of 200 mm length. The ends A and B having diameters 50 mm and 25 mm are maintained at 27°C and 227°C respectively. k (rod material) = 40 W/m°C. Find : (i) Heat conducted through the rod; (ii) The temperature at the midpoint of the rod. Assume there is no temperature gradient at a particular cross-section and there is no heat transfer through the peripheral surface. [Ans: (i) 39.27 W, (ii) 93.7°C]

Heat is conducted through a tapered circular rod of 200 mm length. The ends A and B having diameters 50 mm and 25 mm are maintained at 27°C and 227°C respectively. k (rod material) = 40 W/m°C. Find : (i) Heat conducted through the rod; (ii) The temperature at the midpoint of the rod. Assume there is no temperature gradient at a particular cross-section and there is no heat transfer through the peripheral surface. [Ans: (i) 39.27 W, (ii) 93.7°C]

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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13. Heat is conducted through a tapered circular rod of 200 mm length. The ends A and B having diameters 50 mm and 25 mm are maintained at 27°C and 227°C respectively. k (rod material) = 40 W/m°C. Find : (i) Heat conducted through the rod; (ii) The temperature at the midpoint of the rod. Assume there is no temperature gradient at a particular cross-section and there is no heat transfer through the peripheral surface. [Ans: (i) 39.27 W, (ii) 93.7°C]
Transcribed Image Text:13. Heat is conducted through a tapered circular rod of 200 mm length. The ends A and B having diameters 50 mm and 25 mm are maintained at 27°C and 227°C respectively. k (rod material) = 40 W/m°C. Find : (i) Heat conducted through the rod; (ii) The temperature at the midpoint of the rod. Assume there is no temperature gradient at a particular cross-section and there is no heat transfer through the peripheral surface. [Ans: (i) 39.27 W, (ii) 93.7°C]
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