Steel balls 12 mm in diameter are annealed by heating to 1150 K and then slowly cooling to 400 K in an air envi- ronment for which T = 325 K and h = 20 W/m².K. Assuming the properties of the steel to be k = 40 W/m.K, p= 7800 kg/m³, and c = 600 J/kg K, estimate the time required for the cooling process. 3. Consider the steel balls in problem above except now the air temperature increases with time as T..(t) = 325 K + at, where a = 0.1875 K/s. (a) Sketch the ball temperature versus time for 0 ≤ t≤ 1 h. Also show the ambient temperature, T., in your graph. Explain special features of the ball temperature behavior. (b) Find an expression for the ball temperature as a function of time T(t), and plot the ball temperature for 0 ≤t≤ 1 h. Was your sketch correct?
Steel balls 12 mm in diameter are annealed by heating to 1150 K and then slowly cooling to 400 K in an air envi- ronment for which T = 325 K and h = 20 W/m².K. Assuming the properties of the steel to be k = 40 W/m.K, p= 7800 kg/m³, and c = 600 J/kg K, estimate the time required for the cooling process. 3. Consider the steel balls in problem above except now the air temperature increases with time as T..(t) = 325 K + at, where a = 0.1875 K/s. (a) Sketch the ball temperature versus time for 0 ≤ t≤ 1 h. Also show the ambient temperature, T., in your graph. Explain special features of the ball temperature behavior. (b) Find an expression for the ball temperature as a function of time T(t), and plot the ball temperature for 0 ≤t≤ 1 h. Was your sketch correct?
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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Transcribed Image Text:2.
Steel balls 12 mm in diameter are annealed by heating to
1150 K and then slowly cooling to 400 K in an air envi-
ronment for which T = 325 K and h = 20 W/m² K.
Assuming the properties of the steel to be k = 40 W/m.K,
p= 7800 kg/m³, and c = 600 J/kg-K, estimate the time
required for the cooling process.
3.
Consider the steel balls in problem above except now the
air temperature increases with time as T..(t) = 325 K +
at, where a = 0.1875 k/s.
(a) Sketch the ball temperature versus time for 0 ≤
t≤ 1 h. Also show the ambient temperature, T., in
your graph. Explain special features of the ball
temperature behavior.
(b) Find an expression for the ball temperature as a
function of time T(t), and plot the ball temperature
for 0 ≤t≤ 1 h. Was your sketch correct?
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