Answered: 1. A sheet of steel 1.5 mm thick has…

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. A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200°C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is $6 \times 10^{-11} \, \text{m}^2/\text{s}$, and the diffusion flux is found to be $1.2 \times 10^{-7} \, \text{kg/m}^2 \cdot \text{s}$. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is $4 \, \text{kg/m}^3$. How far into the sheet from this high-pressure side will the concentration be $2.0 \, \text{kg/m}^3$? Assume a linear concentration profile.$

Transcribed Image Text:1. A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200°C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is $6 \times 10^{-11} \, \text{m}^2/\text{s}$, and the diffusion flux is found to be $1.2 \times 10^{-7} \, \text{kg/m}^2 \cdot \text{s}$. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is $4 \, \text{kg/m}^3$. How far into the sheet from this high-pressure side will the concentration be $2.0 \, \text{kg/m}^3$? Assume a linear concentration profile.

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