Problem 4. An aluminum plate is at a temperature of 25C. The plate is then suddenly...

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Problem 4. An aluminum plate is at a temperature of 25C. The plate is then suddenly subjected to a uniform and continuing heating at the rate of 6 W/m. Develop a macroscopic model for the process. Find the time at which the surface temperature reaches a value of 100C. What is the total heat transferred up to this time? Assume a plate thickness of 10 cm and that the heat conduction is fast enough to assume the temperature is uniform throughout the plate. Problem 4. An aluminum plate is at a temperature of 25C. The plate is then suddenly subjected to a uniform and continuing heating at the rate of 6 W/m. Develop a macroscopic model for the process. Find the time at which the surface temperature reaches a value of 100C. What is the total heat transferred up to this time? Assume a plate thickness of 10 cm and that the heat conduction is fast enough to assume the temperature is uniform throughout the plate.