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Math Help - how hot is the oven?

  1. #1
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    how hot is the oven?

    A thermometer reading 70 F is placed in an over pre-heated to a constant temperature. through a glass window in the over door, an observer records that the thermometer reads 110 F after 1/2 minute and 145 F after 1 minute. so how hot is the over..?

    ok i have the formula for the problem,

    dT/dt = k(T-Tm)

    I also know that the initial temp is 70 F

    I guess my problem starts with, not knowing how to separate the variables...any help would be appreciated.

    thanks in advance..
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  2. #2
    A Plied Mathematician
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    Your k will be negative if you write the DE that way, but that's fine. You separate the way you always do:

    \dfrac{dT}{T-T_{m}}=k\,dt.

    Integration yields what?
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  3. #3
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    integration yields T(t) = Tm +C*exp^(kt)

    solving the problem T = 390 degrees...thanks!
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  4. #4
    A Plied Mathematician
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    Yep, that's what I get as well. You're welcome!
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