- #1
Physically Impaired
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I am stumped on one question out of twenty on my lab report.
T = T0e-kt + Troom
When T = 0 what is the value of e to the negative kt
T = T0e-kt + Troom
When T = 0 what is the value of e to the negative kt
What is the Formula for Newton's Law of Cooling?
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In summary, the conversation discusses solving a lab report question involving the equation T = T0e-kt + Troom. It is clarified that T can never be 0 and two possible scenarios are presented: t = 0 and T = 0. It is also mentioned that if T is measured in Celcius or Farenheit, T0 or Troom can be negative, but not both. The conversation ends with a playful note about the names of the scientists who created the temperature scales.
- #2
so-crates
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Do you mean when t = 0 or T = 0? T can never be zero, because e-kt will always be positive.
- #3
HallsofIvy
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If t= 0 then T= T0+ Troom
If it is T= 0 then if either T0 or Troom is negative (but not both!) (possible if T is measured in Celcius or Farenheit, impossible if T is measured in Kelvins), solve 0= T0e-kt+ Troom:
[tex] e^{-kt}= -\frac{Troom}{T0}[/tex]
If it is T= 0 then if either T0 or Troom is negative (but not both!) (possible if T is measured in Celcius or Farenheit, impossible if T is measured in Kelvins), solve 0= T0e-kt+ Troom:
[tex] e^{-kt}= -\frac{Troom}{T0}[/tex]
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Halls,it's Anders Celsius (sic) and Gabriel Fahrenheit (sic) 
Daniel.
Daniel.
1. What is Newton's Law of Cooling?
Newton's Law of Cooling is a mathematical formula that describes the rate at which an object cools down or loses heat when placed in a different temperature environment. It states that the rate of change of the temperature of an object is proportional to the difference between its initial temperature and the temperature of its surroundings.
2. Who is Sir Isaac Newton and why is this law named after him?
Sir Isaac Newton was an English physicist and mathematician who is widely recognized for his contributions to the fields of mathematics, physics, and astronomy. He is best known for his work on gravity and the laws of motion, but he also made significant contributions to the study of heat and thermodynamics, including the development of Newton's Law of Cooling.
3. How is Newton's Law of Cooling applied in real life situations?
Newton's Law of Cooling can be applied in various real-life situations, such as determining the rate at which food or beverages cool down in a room, predicting the cooling rate of hot metal objects in water, and estimating the temperature of a room based on the temperature of a thermometer left in it for a certain amount of time.
4. What factors can affect the accuracy of Newton's Law of Cooling?
The accuracy of Newton's Law of Cooling can be affected by various factors such as the type of material of the object being cooled, the size and shape of the object, the temperature difference between the object and its surroundings, and the presence of external factors such as wind or air currents.
5. How is Newton's Law of Cooling related to other laws of thermodynamics?
Newton's Law of Cooling is closely related to the first law of thermodynamics, also known as the law of conservation of energy. This law states that energy cannot be created or destroyed, only transferred from one form to another. In the case of Newton's Law of Cooling, the energy lost by the object in the form of heat is transferred to its surroundings, resulting in a decrease in temperature.
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