[2] A reservoir of hot water kept at 380K is well insulated except for a copper...

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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? [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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first we will use the values of the area length as well as the two temperatures to get the ra... View the full answer