- #1
2013
- 92
- 0
Homework Statement
In autumn 2011 a whale was stranded.
Although the whale was already dead for some time
and the ambient temperature is approximately constant at
the freezing point was, the body temperature was inside lying on the beach of Wales on 21 November is still about 20 ° C.
Three days later, this had dropped to about 15 ° C.
The cooling of a body on an unheated air can be modeled by a temperature profile. However, for different initial and ambient temperatures, and different bodies to scale the axes are different.
Treasures with the help of the information given on when the whale is dead on the beach when its body temperature amounted to 37 ° C. the time of death.
2. The attempt at a solution
Newton's law of cooling
20=To * e^-0k
15=To * e^-3k
k=0,09589
To=20°
37=0+(20-0)e^-kt
-kt = ln(1,85)
t = ln(1,85)/(-0,09589)
t = -6,42
What is the initial value?
How can I scale the axes?
thank you in advance