[2] A reservoir of hot water kept at 380K is well insulated except for a copper rod with a cross sectional area of 0.25 m² and a length of 0.50 meters. The rod is also well insulated except for its ends and the other end is in a second well insulated reservoir of water held at 280K. a) Determine the rate of heat flow through the copper rod. b) Calculate the temperature at the center of the rod (0.25 meters from either end). Then extend the process to find the temperature at each point 0.1m along the rod. c) Calculate the rate of entropy change at each end of the rod.
[2] A reservoir of hot water kept at 380K is well insulated except for a copper rod with a cross sectional area of 0.25 m² and a length of 0.50 meters. The rod is also well insulated except for its ends and the other end is in a second well insulated reservoir of water held at 280K. a) Determine the rate of heat flow through the copper rod. b) Calculate the temperature at the center of the rod (0.25 meters from either end). Then extend the process to find the temperature at each point 0.1m along the rod. c) Calculate the rate of entropy change at each end of the rod.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![[2] A reservoir of hot water kept at 380K is well insulated except for a copper rod with a
cross sectional area of 0.25 m? and a length of 0.50 meters. The rod is also well insulated
except for its ends and the other end is in a second well insulated reservoir of water held
at 280K.
a) Determine the rate of heat flow through the copper rod.
b) Calculate the temperature at the center of the rod (0.25 meters from either end).
Then extend the process to find the temperature at each point 0.1m along the rod.
c) Calculate the rate of entropy change at each end of the rod.
d) Using your answer for (c), show that the statements "Heat flows spontaneously from
high temperature to low temperature." and "Any spontaneous process causes the entropy
of the universe to increase." are logically equivalent for situations with heat flow.
e) Each reservoir of water holds 1 m of water. With a steady flow established, the power
fails so that the heating and cooling of the water ceases. What are the temperatures of
the reservoirs after a LONG TIME? How much thermal energy is stored in each reservoir
of water and in the copper rod i) just when the power fails ad ii) after a long time?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77ce86ad-ec7a-44ee-842d-24b8cc23db11%2F738b2231-d0ca-4807-bdbb-e0cdc5ec6e30%2Fllz7b6h_processed.png&w=3840&q=75)
Transcribed Image Text:[2] A reservoir of hot water kept at 380K is well insulated except for a copper rod with a
cross sectional area of 0.25 m? and a length of 0.50 meters. The rod is also well insulated
except for its ends and the other end is in a second well insulated reservoir of water held
at 280K.
a) Determine the rate of heat flow through the copper rod.
b) Calculate the temperature at the center of the rod (0.25 meters from either end).
Then extend the process to find the temperature at each point 0.1m along the rod.
c) Calculate the rate of entropy change at each end of the rod.
d) Using your answer for (c), show that the statements "Heat flows spontaneously from
high temperature to low temperature." and "Any spontaneous process causes the entropy
of the universe to increase." are logically equivalent for situations with heat flow.
e) Each reservoir of water holds 1 m of water. With a steady flow established, the power
fails so that the heating and cooling of the water ceases. What are the temperatures of
the reservoirs after a LONG TIME? How much thermal energy is stored in each reservoir
of water and in the copper rod i) just when the power fails ad ii) after a long time?
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