Originally Posted by

**Modernized** Hello everyone!

I have one question.

Usually when we have a set of data to find the rate of decay,

T = T0 - Tm e^(-kt) + Tm

T0 - Initial temperature

Tm - Surrounding temperature (At 20'C)

k - Constant value

T - Temperature

For eg. when time = 1, T = 90 (Knowing that t= 0 T=100)

So, we will write

90 = 100 - 20 e^(-k*1) + 20

90-20 = 80 e^(-k)

7/8 = e^(-k)

Take natural logs on both sides,

ln 7/8 = -k

k = -0.133531

And because we have t=1,2,3,4,5,6,7,8....n

So I found all the k values and averaged them to find a mean value

for k.

However, I was thinking just by averaging the rate of decay and find

an averaged constant value to find the final function that models

the real data (Experimented data) is not accurate enough.

So I wish to seek for some help on this. Can you please tell me

another way to find a good 'k' value that has higher accuracy to

model the data?