A Cuwire with a diameter of 2 mmand a length of 1 mis initially at room temperature (300 K). A constant voltage difference of 100 Vis applied for 1000 seconds. The temperature of the wire rises due to Joule heating (heating due to the conversion of electric energy to thermal energy) during the application of the voltage, and so we wait for a sufficiently long time after the voltage is removed for the wire to cool back to the room temperature of 300 K. The conductivity of Cuis6×107S/m. Please answer the following questions, assuming the surroundings are at a room temperature of 300 K: a)What is the internal energy change for the wire from the very initial state to the final state after the entire process ends? (b)What is the internal energychange for the surroundings for the entire process? (c)What is the amount of heat that was generated in the wire and transferred to the surroundings during the entire process?

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 Cuwire with a diameter of 2 mmand a length of 1 mis initially at room temperature (300 K). A constant voltage difference of 100 Vis applied for 1000 seconds. The temperature of the wire rises due to Joule heating (heating due to the conversion of electric energy to thermal energy) during the application of the voltage, and so we wait for a sufficiently long time after the voltage is removed for the wire to cool back to the room temperature of 300 K. The conductivity of Cuis6×107S/m. Please answer the following questions, assuming the surroundings are at a room temperature of 300 K:

a)What is the internal energy change for the wire from the very initial state to the final state after the entire process ends?

(b)What is the internal energychange for the surroundings for the entire process?

(c)What is the amount of heat that was generated in the wire and transferred to the surroundings during the entire process?

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