A large chicken carcass is at uniform temperature

$\displaystyle 20^{\circ}C$.

It is dropped into a continually stirred icy water at

$\displaystyle 0^{\circ}C$.

Find the approximate time that the warmest point in the chicken has dropped to $\displaystyle 0.1^{\circ}C$.

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

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

The solution is approximately 209 minutes.