Thread: upper o lower vaule for the constant, k in newt law cooling

I have asked a similar question before but i realised i was asking the wrong thing...........

a. for the equation dT/dt= -k(T-8) what is the upper or lower limit of k if the temperature (T) is to never fall below T=15 ......... when t=0, T=16

b. if k=0 what does this say about the insulation properties of k?

THANK YOU!!!!!!!!!!!

Originally Posted by zena

I have asked a similar question before but i realised i was asking the wrong thing...........

a. for the equation dT/dt= -k(T-8) what is the upper or lower limit of k if the temperature (T) is to never fall below T=15 ......... when t=0, T=16

b. if k=0 what does this say about the insulation properties of k?

THANK YOU!!!!!!!!!!!

Post clarifications in the same thread as your original equation, where part (b) has already been answered
if I recall correctly.

RonL

Originally Posted by zena

I have asked a similar question before but i realised i was asking the wrong thing...........

a. for the equation dT/dt= -k(T-8) what is the upper or lower limit of k if the temperature (T) is to never fall below T=15 ......... when t=0, T=16

b. if k=0 what does this say about the insulation properties of k?

THANK YOU!!!!!!!!!!!

First solve the differential equation.

In this case the solution is:



so when , and if as .

Hence for all the temprature eventualy drops below 15.
If the temprature never falls below 16.

RonL