A long rod 40 mm in diameter, fabricated from sapphire and initially at a uniform temperature of 800 K, is suddenly cooled in a fluid at 300 K having a heat transfer coefficient of h = 1115- After 35 seconds the rod is wrapped in insulation m²K and experiences no heat losses from that time forward. Properties of sapphire (aluminum oxide): p = 3970 , c, = 1068 kgK' kg m3' k = 22.3, a = 5.259 × 10-6m² mk ' At the time (35 seconds after being placed in the 300 K fluid) the rod is wrapped in insulation, what is the temperature at the CENTER AND SURFACE of the rod?

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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A long rod 40 mm in diameter, fabricated from sapphire and initially at a uniform temperature of 800 K, is suddenly cooled
in a fluid at 300 K having a heat transfer coefficient of h = 1115-
After 35 seconds the rod is wrapped in insulation
m²K
and experiences no heat losses from that time forward.
kg
m³'
Properties of sapphire (aluminum oxide): p = 3970 9, C, = 1068
k = 22.3.
kgK
a = 5.259 × 10-6 m²)
mK
At the time (35 seconds after being placed in the
300 K fluid) the rod is wrapped in insulation,
what is the temperature at the CENTER AND
SURFACE of the rod?
Transcribed Image Text:A long rod 40 mm in diameter, fabricated from sapphire and initially at a uniform temperature of 800 K, is suddenly cooled in a fluid at 300 K having a heat transfer coefficient of h = 1115- After 35 seconds the rod is wrapped in insulation m²K and experiences no heat losses from that time forward. kg m³' Properties of sapphire (aluminum oxide): p = 3970 9, C, = 1068 k = 22.3. kgK a = 5.259 × 10-6 m²) mK At the time (35 seconds after being placed in the 300 K fluid) the rod is wrapped in insulation, what is the temperature at the CENTER AND SURFACE of the rod?
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