A hot body placed in a container with surrounding temperature θ0=∛T and θ=√T behaves according to Newton’s law of cooling dT/dt=−k (θ − θ0). The temperature at t=0, T1=θ . Calculate the time it takes for the body to lose 80% of its maximum heat.
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A hot body placed in a container with surrounding temperature θ0=∛T and θ=√T behaves according to Newton’s law of cooling dT/dt=−k (θ − θ0). The temperature at t=0, T1=θ . Calculate the time it takes for the body to lose 80% of its maximum heat.
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- A pot of water is boiling under one atmosphere of pressure. Assume that heat enters the pot only through its bottom, which is copper and rests on a heating element. In two minutes, the mass of water boiled away is m = 3.5 kg. The radius of the pot bottom is R = 7.5 cm and the thickness is L = 1.0 mm. What is the temperature of the heating element in contact with the pot?If a cup of coffee has temperature 95°C in a room where the ambient air temperature is 22°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 22 + 73e-t/54. What is the average temperature of the coffee during the first 32 minutes? average temp = °CM
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