Water is boiled in a cup and put to cool down inside a room. The air...

Water is boiled in a cup and put to cool down inside a room. The air temperature in the room is increasing linearly according to the function T_a(t) = 22 + 0.015t (t in minutes, T in Celsius). Assume Newton’s Law of Cooling is satisfied: the rate of change of water temperature is proportional to the difference between the temperature of the water and the temperature of the environment. The temperature of the water was checked after 8 minutes and it was 82 Celsius. Explain and graph T_a. Establish and solve an Initial Value Problem to express the water temperature as a time function, graph this function.

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genius_generous answered 1 year ago

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