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Finding the time constant of a first order system

  1. Oct 27, 2009 #1
    1. The problem statement, all variables and given/known data
    I am trying to find the time constant of a thermometer that is taken from boiling water (100 deg C) and placed in ice water (0 deg C)

    2. Relevant equations
    See attached

    3. The attempt at a solution

    Using the equation in picture #1: I understand that I have to plot the data and do a linear regression, and that m = 1/tau and tau is the time constant. I know that T(0) is 100 deg C, and T inf is 0 deg C, but I am confused as to what I put in for T(t)?

    Using the second equation attached, do I use the function generated by plotting the data in the table attached (#3), and insert that for T(t)??

    I am thoroughly confused, and I am sure this is fairly easy, but I've been racking my brain and can't seem to figure it out.

    Attached Files:

  2. jcsd
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