Answered: A spherical piece of coal with a…

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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A spherical piece of coal with a diameter of 150 μm is brought into contact with air and it is burned with oxygen. During the combustion at a pressure of 1 atm and a temperature of 1145 K, the following rapid reaction takes place and oxygen is immediately depleted. C + 02 - Co2 The diffusion coefficient of oxygen in the gas mixture at I atm pressure and 1145 K is 1.3 cm? It is given as / s. The density of the charcoal piece is 1.28 g / cm3. Find the time it takes for the diameter of the piece of coal to decrease to 50 µm as a result of combustion at steady state by deriving the equation. NOTE: The diffusion phenomenon in the combustion of the coal piece with oxygen is similar to the diffusion in the evaporation event from a liquid drop. Air is used for combustion and does not interfere with nitrogen diffusion

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