What is the Formula for Newton's Law of Cooling?

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Homework Help Overview

The discussion revolves around Newton's Law of Cooling, specifically focusing on the formula T = T0e-kt + Troom. Participants are exploring the implications of the variables involved, particularly when T equals zero.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the conditions under which T can equal zero and the implications of the formula when T or t is set to zero. There is also a discussion about the validity of temperature measurements in different scales.

Discussion Status

The discussion is active, with participants providing insights and clarifications regarding the formula and its variables. Some guidance has been offered on interpreting the equation under specific conditions, but no consensus has been reached on the implications of T being zero.

Contextual Notes

There is mention of temperature scales and the conditions under which certain values may be negative, which could affect the interpretation of the formula. The original poster's question appears to stem from a specific lab report context.

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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
 
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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.
 
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 celsius or Farenheit, impossible if T is measured in Kelvins), solve 0= T0e-kt+ Troom:
[tex]e^{-kt}= -\frac{Troom}{T0}[/tex]
 
Halls,it's Anders Celsius (sic) and Gabriel Fahrenheit (sic) :wink:

Daniel.
 

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