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Carbon steel balls (p = 7833 kg/m’, C, = 465 J/kg•K, k = 54 W/m-K) with a diameter of 8 mm are annealed by heating them first to 900°C in a furnace and then allowing them to cool slowly to 100°C in ambient air at 35°C with a convection heat transfer coefficient of h= 75 W/m²-K. (a) Prove the lumped parameter analysis can be used to determine the cooling time. (b) If 2500 balls are annealed per hour, determine the amount of heat transferred from the balls to the ambient air during a one-hour time period.

Carbon steel balls (p = 7833 kg/m’, C, = 465 J/kg•K, k = 54 W/m-K) with a diameter of 8 mm are annealed by heating them first to 900°C in a furnace and then allowing them to cool slowly to 100°C in ambient air at 35°C with a convection heat transfer coefficient of h= 75 W/m²-K. (a) Prove the lumped parameter analysis can be used to determine the cooling time. (b) If 2500 balls are annealed per hour, determine the amount of heat transferred from the balls to the ambient air during a one-hour time period.

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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Carbon steel balls (p = 7833 kg/m', C, = 465 J/kg-K, k = 54 W/m-K) with a diameter of 8 mm are annealed by heating them first to 900°C in a furnace and then allowing them to cool slowly to 100°C in ambient air at 35°C with a convection heat transfer coefficient of h= 75 W/m2-K. (a) Prove the lumped parameter analysis can be used to determine the cooling time. (b) If 2500 balls are annealed per hour, determine the amount of heat transferred from the balls to the ambient air during a one-hour time period.
Transcribed Image Text:Carbon steel balls (p = 7833 kg/m', C, = 465 J/kg-K, k = 54 W/m-K) with a diameter of 8 mm are annealed by heating them first to 900°C in a furnace and then allowing them to cool slowly to 100°C in ambient air at 35°C with a convection heat transfer coefficient of h= 75 W/m2-K. (a) Prove the lumped parameter analysis can be used to determine the cooling time. (b) If 2500 balls are annealed per hour, determine the amount of heat transferred from the balls to the ambient air during a one-hour time period.
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