Q1// A steel cylinder at 80 °F of length 12" is placed in a liquid nitrogen bath (-315 °F). If thermal expansion coefficient of steel behaves as a second order polynomial of temperature and the polynomial is found by regressing the data below, Coefficient of thermal Temperature, T |(°F) |expansion, a (in/in/°F) 6.47 x10-6 | 6.24×106 6.00x10-6 4.72×106 4.30x10-6 | 2.76×10-6 80 40 |-160 -200 -320 |-340 2.45x10 What is the reduction in the length of cylinder? Take: AL = L, × JadT Troom

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
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Q1// A steel cylinder at 80 °F of length 12" is placed in a liquid
nitrogen bath (-315 °F). If thermal expansion coefficient of steel
behaves as a second order polynomial of temperature and the
polynomial is found by regressing the data below,
Temperature, T
(°F)
80
Coefficient of thermal
expansion, a (in/in/°F)
6.47 ×10-6
6.24×10-6
6.00x10-6
4.72x10-6
4.30x10-6
2.76x10-6
40
-160
-200
-320
|-340
2.45x10
What is the reduction in the length of cylinder?
Take:
AL = L, ×
JadT
Troom
Transcribed Image Text:Q1// A steel cylinder at 80 °F of length 12" is placed in a liquid nitrogen bath (-315 °F). If thermal expansion coefficient of steel behaves as a second order polynomial of temperature and the polynomial is found by regressing the data below, Temperature, T (°F) 80 Coefficient of thermal expansion, a (in/in/°F) 6.47 ×10-6 6.24×10-6 6.00x10-6 4.72x10-6 4.30x10-6 2.76x10-6 40 -160 -200 -320 |-340 2.45x10 What is the reduction in the length of cylinder? Take: AL = L, × JadT Troom
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