## Worded heat problem

A large chicken carcass is at uniform temperature
$20^{\circ}C$.
It is dropped into a continually stirred icy water at
$0^{\circ}C$.
Find the approximate time that the warmest point in the chicken has dropped to $0.1^{\circ}C$.

The dimensions of the chicken are $10 \times 0 \times 10 cm$, and the thermal diffusivity of the chicken matches that of water:

$1.4 \times 10^{-7} m^2/s$

The solution is approximately 209 minutes.