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Math Help - Temperature Equation: Please!?!

  1. #1
    Newbie
    Joined
    Nov 2008
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    Post Temperature Equation: Please!?!

    I am so stuck on this problem, my brainiac sister cant even solve it... Please help if your a Math Wizz.. lol Thank u so much !

    Given: T = R + (T0 R) e kt , where T is temperature,
    T0 is initial temperature, R is room
    temperature, t is time in minutes, and k is
    a constant you have to calculate.

    If the room is 35 F and a boiling cup of water
    is 212 F at t = 0 (9:00 AM) and after
    t = 20 minutes the temperature is 160 F.
    Calculate k for the cup and use the above equation
    to predict the temperature at 11:00 AM. This method is used in forensics.
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  2. #2
    Super Member flyingsquirrel's Avatar
    Joined
    Apr 2008
    Posts
    802
    Hi,
    Quote Originally Posted by AFan View Post
    If the room is 35F and a boiling cup of water is 212 F at t = 0 (9:00 AM)
    Using the formula we are given, this can be written 212 = 35 +(T_0-35)\exp(k\times 0). This equation can be solved for T_0.
    and after t = 20 minutes the temperature is 160 F.
    Again, using the formula we get 160 = 35+(T_0-35)\exp(k\times 20). As we know the value of T_0, this equation can be solved for k.
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