A rectangular slab of butter which is $92\mathrm{.}4mm$ in height at a temperature of $277\mathrm{.}6K$ in a cooler is

removed and placed in an environment at $297\mathrm{.}1K.$ The sides and bottom of the butter container can be

considered to be insulated. The flat top surface of the butter is exposed to the environment. The convective

coefficient is constant at $8\mathrm{.}52\frac{W}{m^2**K}.$ Heat transfer characteristics of butter are located in the Geankoplis

textbook appendix.

a$.$ Calculate the temperature in the butter at the surface $t=5$ hours after exposure. List the figure

number $($ex Figure $1\mathrm{.}7-9)$ you used to solve this problem.

b$.$ Calculate the temperature in the butter $25\mathrm{.}4mm$ below the surface $t=5$ hours after exposure. List

the figure number $($ex Figure $1\mathrm{.}7-9)$ you used to solve this problem.

c$.$ Calculate the temperature in the butter at the center $t=5$ hours after exposure. List the figure

number $($ex Figure $1\mathrm{.}7-9)$ you used to solve this problem.