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A fused-quartz sphere has a thermal diffusivity of 9.5 x 107 m²/s, a diameter of 2.5 cm, and a thermal conductivity of 1.52 W/m. °C. The sphere is initially at a uniform temperature of 25 °C and is suddenly subjected to a convection environment at 250 °C. The convection heat-transfer coefficient is 110 W/m². °C. Calculate the temperatures at the center and at a radius of 5 mm after a time of 8 min.

A fused-quartz sphere has a thermal diffusivity of 9.5 x 107 m²/s, a diameter of 2.5 cm, and a thermal conductivity of 1.52 W/m. °C. The sphere is initially at a uniform temperature of 25 °C and is suddenly subjected to a convection environment at 250 °C. The convection heat-transfer coefficient is 110 W/m². °C. Calculate the temperatures at the center and at a radius of 5 mm after a time of 8 min.

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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Q3) A fused-quartz sphere has a thermal diffusivity of 9.5 x 107 m²/s, a diameter of 2.5 cm, and a thermal conductivity of 1.52 W/m. °C. The sphere is initially at a uniform temperature of 25 °C and is suddenly subjected to a convection environment at 250 °C. The convection heat-transfer coefficient is 110 W/m². °C. Calculate the temperatures at the center and at a radius of 5 mm after a time of 8 min.
Transcribed Image Text:Q3) A fused-quartz sphere has a thermal diffusivity of 9.5 x 107 m²/s, a diameter of 2.5 cm, and a thermal conductivity of 1.52 W/m. °C. The sphere is initially at a uniform temperature of 25 °C and is suddenly subjected to a convection environment at 250 °C. The convection heat-transfer coefficient is 110 W/m². °C. Calculate the temperatures at the center and at a radius of 5 mm after a time of 8 min.
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