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Math Help - Newt law Cooling

  1. #1
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    Exclamation Newt law Cooling

    Hello, can someone please help me..............
    Equation dT/dt= -k(T-8) where T is temp degree celsius.... what is the upper and lower limit of k for the temperature to remain constant at 15 between t=0 and t=8???????................ Does a reduction in the rate of heat loss correspond to an increse or decrease in k?? What does this say about the insulating properties of k??????
    Thank you for your time... i really appreciate it!!!!!!!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by zena View Post
    Hello, can someone please help me..............
    Equation dT/dt= -k(T-8) where T is temp degree celsius.... what is the upper and lower limit of k for the temperature to remain constant at 15 between t=0 and t=8???????................ Does a reduction in the rate of heat loss correspond to an increse or decrease in k?? What does this say about the insulating properties of k??????
    Thank you for your time... i really appreciate it!!!!!!!
    The only temprature at which the temprature is constant is T=8 celsius,
    as that this temprature dT/dt=0. That is unless k=0, which means that
    the system is perfectly insulated from its environment (assumed to be at
    8 celsius).

    The higher k the greater the rate of loss of temprature, the lower k the
    lower the rate of loss of temprature, and the rate of heat loss is proportional
    to the rate of change of temprature.

    So small k - good insulation, high k - poor insulation

    RonL
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