5.45 In a tempering process, glass plate, which is initially at auniform temperature T;, is cooled by suddenly reducing thetemperature of both surfaces to T,. The plate is 10 mm thick,and the glass has a thermal diffusivity of 6 x 10-7 m²/s.(a) How long will it take for the midplane temperatureto achieve 75% of its maximum possible tempera-ture reduction?(b) If (T; – T,) = 300°C, what is the maximum tempera-ture gradient in the glass at the time calculated in|part (a)?

Thermal diffusivity - It is the thermal conductivity divided by density and specific heat capacity…

Answered: 5.45 In a tempering process, glass…

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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5.45 In a tempering process, glass plate, which is initially at a
uniform temperature T;, is cooled by suddenly reducing the
temperature of both surfaces to T,. The plate is 10 mm thick,
and the glass has a thermal diffusivity of 6 x 10-7 m²/s.
(a) How long will it take for the midplane temperature
to achieve 75% of its maximum possible tempera-
ture reduction?
(b) If (T; – T,) = 300°C, what is the maximum tempera-
ture gradient in the glass at the time calculated in
|
part (a)?

Expert Solution

Step 1

Thermal diffusivity - It is the thermal conductivity divided by density and specific heat capacity at constant pressure.
It measures the rate of transfer of heat of material from the hot end to the cold end.
It has the SI derived unit of m²/s

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