$2.$ A $2$ cm thick steak with thermal conductivity of $0\mathrm{.}45/$ and thermal diffusivity $0\mathrm{.}91$

$1072/$ is initially at $25$C$.$ The steak is then placed in a refrigeration room maintained at $11$C$,$

where the heat transfer coefficient on both sides of the steak is $9$ W$/$m$^2$C$.$ The objective is to cool

both surfaces of the steak to $2$C$.$ Calculate the time required for the steak to reach this temperature

in the refrigeration room. llustrate the geometric shape and coordinate system you will use. Clearly

outline the conditions and simplifications you are making. Develop the mathematical equation that

describes the problem. Define the initial values and boundary conditions that the solution must sat

isfy.