esw6838 said:If I am correct:
Q = Cp(T2-T1) and
P = QVp/time
Cp = specific heat and
p = density
P = power
V =Volume
T2 = final temp
T1 = initial temp
esw6838 said:I first solve for Q. After I know Q, I can solve for time since I know the power is 102,600 btu per hour. I used SI units and came up with the following:
Cp = 1,006 J per KgK
p = 1.15 Kg per cubic meter
V = 481 cubic meters
T1 = 308.15K (95F)
T2 = 310.9K (100F)
P = 30,060W (102,600 btu per hour
I wind up with time = 50 sec. I thought it would take longer. Interesting.
Newton's Law of Cooling is a mathematical law that describes the rate at which an object cools down or loses heat in a surrounding environment. It states that the rate of change of temperature of an object is proportional to the difference between its own temperature and the temperature of the surrounding environment.
The equation for Newton's Law of Cooling is dT/dt = -k(T-Ts), where dT/dt is the rate of change of temperature, T is the temperature of the object at a certain time, Ts is the temperature of the surrounding environment, and k is a constant that depends on the properties of the object.
Newton's Law of Cooling is used in various real-life situations, such as predicting the cooling of hot beverages, determining the temperature of a body during a fever, and analyzing the cooling of molten lava or metal in industrial processes. It is also used in weather forecasting and climate studies to analyze the cooling of Earth's surface.
The rate of cooling according to Newton's Law of Cooling is affected by several factors, including the temperature difference between the object and its surroundings, the surface area of the object, the type of material the object is made of, and the presence of any insulating layers or barriers.
Yes, there are certain limitations to Newton's Law of Cooling. It assumes that the object is in a medium with constant temperature and that the temperature difference between the object and its surroundings is small. It also assumes that the object has a uniform temperature throughout its volume and that the rate of heat transfer is directly proportional to the temperature difference. These assumptions may not hold true in all situations, leading to deviations from the predicted rate of cooling.