Hey everyone,
I know this is really simple and I cant work out why i keep getting it wrong, its simple exponentials but im literally driving myself insane over it.
The Question:
Newton's Law of cooling states that
T=Ta + (T0-Ta)e^-kt
Where T is the temperature at time t of an object, Ta is the ambient (room) temperature, T0 is the temperature at t=0, and k is a constant.
A dead environmentalist is found in a room with a thermostat maintaining the ambient temperature at 18 degrees C. At midnight (t=0) the temperature of the body is 26 degrees C. By 2am it has cooled to 22 degrees C. Find the value of k, sketch the graph of T as a function of time, and find the time of death, assuming a body temperature of 37 degrees C.
Now forgetting the sketching the graph bit of the question, i worked out k to be 5.776226505x10^-4?
Then using that to find the time of death i cant seem to get the right answer....
The answer is 9:30pm... roughly.
Please please please help guys! this is meant to be the simple question on my course and i cant do that :L
Cheers x