For the carburizing process of the titanium plate, the temperature of which needs to be heated to a temperature of 2000 °C. When the 2000 °C titanium plate is suddenly exposed to the gas, it will generate a carbon concentration CC,s at one surface. The average diffusion coefficient for carbon and titanium at 2000 °C is DC-Fe = 4 × 10–11 m2/s. Use the corresponding heat and mass transfer variables to solve the following questions.(a) Simulate the heat transfer process of the carburizing process. Draw the mass and heat transfer systems. Illustrate and explain the identical between variables. Provide the analytical solutions to the heat and mass transfer problems.(b) If a depth of 2 mm after 3 h of carburizing is induced, calculate the carbon concentration ratio, CC(x, t)/CC,s.(c) If the mass flux of carbon induced into the titanium plate can be expressed as n"c = pC,s(?C-Fe/?t)1/2. Derive the expression for the mass of carbon per unit area induced into the titanium plate over the time period t. Q4. For the carburizing process of the titanium plate, the temperature of which needs to be heated to atemperature of 2000 °C. When the 2000 °C titanium plate is suddenly exposed to the gas, it willgenerate a carbon concentration Cc,s at one surface. The average diffusion coefficient for carbon andtitanium at 2000 °C is Dc-Fe = 4 × 10-11 m²/s. Use the corresponding heat and mass transfer variablesto solve the following questions.(a) Simulate the heat transfer process of the carburizing process. Draw the mass and heat transfersystems. Illustrate and explain the identical between variables. Provide the analytical solutions to theheat and mass transfer problems.(b) If a depth of 2 mm after 3 h of carburizing is induced, calculate the carbon concentration ratio,Cc(x, t)/Cc,s-(c) If the mass flux of carbon induced into the titanium plate can be expressed as n.Pc.s(Dc-Fe/Ttt)1/2. Derive the expression for the mass of carbon per unit area induced into the titaniumplate over the time period t.

To determine the below conditions, we will use the error function. This is denoted by "erf". This is…

Answered: For the carburizing process of the…

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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For the carburizing process of the titanium plate, the temperature of which needs to be heated to a temperature of 2000 °C. When the 2000 °C titanium plate is suddenly exposed to the gas, it will generate a carbon concentration C_C,s at one surface. The average diffusion coefficient for carbon and titanium at 2000 °C is D_C-Fe = 4 × 10^–11 m²/s. Use the corresponding heat and mass transfer variables to solve the following questions.

(a) Simulate the heat transfer process of the carburizing process. Draw the mass and heat transfer systems. Illustrate and explain the identical between variables. Provide the analytical solutions to the heat and mass transfer problems.

(b) If a depth of 2 mm after 3 h of carburizing is induced, calculate the carbon concentration ratio, C_C(x, t)/C_C,s.

(c) If the mass flux of carbon induced into the titanium plate can be expressed as n"_c = p_C,s(?_C-Fe/?t)^1/2. Derive the expression for the mass of carbon per unit area induced into the titanium plate over the time period t.