- #1
SrEstroncio
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Homework Statement
What's the formula that better describes the temperature as a function of time for an enclosed body of water with certain initial temperature [tex] T_a [/tex] immersed in another body of water of initial temperature [tex] T_b[/tex]?
More clearly, I performed an experiment in which I put a small body of nearly boiling water (enclosed in a metal cylinder) inside a somewhat bigger body of ice-cold water, and measured T for both bodies of water at 1 minute intervals during 40 minutes; what's the equations that best describes this situation and to which I can compare my results? I am reluctant to use [tex] T(t) = T_s + ( T_0 - T_s )e^{-kt} [/tex] because the latter assumes that the environment's temperature remains more or less constant, while in my case I do measure a change of temperature (of about 10C) in it (the large body of cold water).
Sorry if my post was somewhat hard to read.
Homework Equations
The Attempt at a Solution
Thanks in advance for your help.