A bottle of fresh orange juice is taken from a fridge at 40C and left in a room with an ambient temperature of 200C. The bottle is 70mm diameter and 125mm long, and you may assume that the juice has the same physical properties as water. The overall heat transfer coefficient for the can in the room is 15 W m-2 K -1 . use Laplace methods to solve your dynamic equation PLEASE DONT COPY AND PASTE FROM OTHER ANSWERED QUESTIONS SHOW HOW TO REACH EQN FOR T* USING LAPLACE TRANSFORMS
A bottle of fresh orange juice is taken from a fridge at 40C and left in a room with an ambient temperature of 200C. The bottle is 70mm diameter and 125mm long, and you may assume that the juice has the same physical properties as water. The overall heat transfer coefficient for the can in the room is 15 W m-2 K -1 . use Laplace methods to solve your dynamic equation PLEASE DONT COPY AND PASTE FROM OTHER ANSWERED QUESTIONS SHOW HOW TO REACH EQN FOR T* USING LAPLACE TRANSFORMS
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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Question
Transcribed Image Text:A bottle of fresh orange juice is taken from a fridge
at 40C and left in a room with an ambient
temperature of 200C. The bottle is 70mm diameter
and 125mm long, and you may assume that the
juice has the same physical properties as water.
The overall heat transfer coefficient for the can in
the room is 15 W m-2 K -1. use Laplace methods to
solve your dynamic equation
PLEASE DONT COPY AND PASTE FROM OTHER
ANSWERED QUESTIONS
SHOW HOW TO REACH EQN FOR T* USING
LAPLACE TRANSFORMS
![A bottle of orange juice is taken from a fridge at 4°C and left in a room with an
ambient temperature of 20°C. The bottle is 70mm diameter and 125mm long, and
you may assume that the juice has the same physical properties as water. The
overall heat transfer coefficient for the can in the room is 15 W m-² K-¹.
This time use Laplace methods to solve your dynamic equation; do you get the same
answer as last week, and if so, why?
You should start from the dynamic equation for the deviation in temperature T*(t),
where T*(0) = 0 °C (as usual) and T*surr-16 °C. At the end of the process, we expect
that the can has warmed from 4 °C to 20 °C.
T* (s):
=
16
s(1+ TS)
dT*
UA(Tsurr - T*)
dt
STT* (s) = Tsurr - T* (s)
16 16T
S
mcp
=
1+ TS
T* (t)
= 16 [1-exp(-)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde55ad6b-27eb-44c5-bca1-afdb32f2dfc7%2F619c426d-76f4-458b-a91d-da9a6ecc640c%2Fe61m6ns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A bottle of orange juice is taken from a fridge at 4°C and left in a room with an
ambient temperature of 20°C. The bottle is 70mm diameter and 125mm long, and
you may assume that the juice has the same physical properties as water. The
overall heat transfer coefficient for the can in the room is 15 W m-² K-¹.
This time use Laplace methods to solve your dynamic equation; do you get the same
answer as last week, and if so, why?
You should start from the dynamic equation for the deviation in temperature T*(t),
where T*(0) = 0 °C (as usual) and T*surr-16 °C. At the end of the process, we expect
that the can has warmed from 4 °C to 20 °C.
T* (s):
=
16
s(1+ TS)
dT*
UA(Tsurr - T*)
dt
STT* (s) = Tsurr - T* (s)
16 16T
S
mcp
=
1+ TS
T* (t)
= 16 [1-exp(-)]
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