A Cu wire of diameter of 2 mm and length of 1 m initially at room temperature of 300 K is applied a constant voltage difference of 100 V for 1000 seconds. The temperature of the wire rose due to Joule heating during the application of the voltage, so one waited 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 Cu is 6×107S/m. Please answer the following questions, assuming the surroundings is at room temperature 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 energy change 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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A Cu wire of diameter of 2 mm and length of 1 m initially at room temperature of 300 K is applied a constant voltage difference of 100 V for 1000 seconds. The temperature of the wire rose due to Joule heating during the application of the voltage, so one waited 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 Cu is 6×107S/m. Please answer the following questions, assuming the surroundings is at room temperature 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 energy change 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? (d) What is the total internal energy change of the wire plus the surroundings during the entire process? (e) What is the entropy change for the wire for the entire process: (f) What is the entropy change for the surroundings for the entire process? (g) What is the total entropy generated in the wire and transferred to the surroundings during the entire process? (h) What is the total entropy change of the wire plus the surroundings during the entire process? (i) Is this entire process reversible or irreversible?
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