Thread: 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!!!!!!!

Originally Posted by zena

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