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Radioactive wastes (krw = 20 W/m•K) are stored in a spherical stainless steel container (kss 15 W/m:K) with an inner radius r¡ = 0.5 m and outer radius r, = 0.65 m. Heat is generated within the wastes at a uniform volumetric rate of ġ = 105 w/m³. The outer surface of the stainless steel container is exposed to a water flow for which the temperature is To = 25°C and the convection heat transfer coefficient is h = 1200 W/m2-K. Assume steady-state one- %3D dimensional radial heat transfer. (a) Determine the rate of heat transfer. (b) Evaluate the outer surface temperature of the stainless steel Tso.

Radioactive wastes (krw = 20 W/m•K) are stored in a spherical stainless steel container (kss 15 W/m:K) with an inner radius r¡ = 0.5 m and outer radius r, = 0.65 m. Heat is generated within the wastes at a uniform volumetric rate of ġ = 105 w/m³. The outer surface of the stainless steel container is exposed to a water flow for which the temperature is To = 25°C and the convection heat transfer coefficient is h = 1200 W/m2-K. Assume steady-state one- %3D dimensional radial heat transfer. (a) Determine the rate of heat transfer. (b) Evaluate the outer surface temperature of the stainless steel Tso.

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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1. Radioactive wastes (\(k_{rw} = 20 \, \text{W/m}\cdot\text{K}\)) are stored in a spherical stainless steel container (\(k_{ss} = 15 \, \text{W/m}\cdot\text{K}\)) with an inner radius \(r_i = 0.5 \, \text{m}\) and outer radius \(r_o = 0.65 \, \text{m}\). Heat is generated within the wastes at a uniform volumetric rate of \(\dot{q} = 10^5 \, \text{W/m}^3\). The outer surface of the stainless steel container is exposed to a water flow for which the temperature is \(T_\infty = 25^\circ\text{C}\) and the convection heat transfer coefficient is \(h = 1200 \, \text{W/m}^2\cdot\text{K}\). Assume steady-state one-dimensional radial heat transfer. (a) Determine the rate of heat transfer. (b) Evaluate the outer surface temperature of the stainless steel \(T_{so}\).
Transcribed Image Text:1. Radioactive wastes (\(k_{rw} = 20 \, \text{W/m}\cdot\text{K}\)) are stored in a spherical stainless steel container (\(k_{ss} = 15 \, \text{W/m}\cdot\text{K}\)) with an inner radius \(r_i = 0.5 \, \text{m}\) and outer radius \(r_o = 0.65 \, \text{m}\). Heat is generated within the wastes at a uniform volumetric rate of \(\dot{q} = 10^5 \, \text{W/m}^3\). The outer surface of the stainless steel container is exposed to a water flow for which the temperature is \(T_\infty = 25^\circ\text{C}\) and the convection heat transfer coefficient is \(h = 1200 \, \text{W/m}^2\cdot\text{K}\). Assume steady-state one-dimensional radial heat transfer. (a) Determine the rate of heat transfer. (b) Evaluate the outer surface temperature of the stainless steel \(T_{so}\).
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