Problem $2$

A room temperature potato $(25C)$ is baked in a convection oven $)$ that is preheated to $170C.$ Assume the potato is spherical in shape with a diameter of $8$ cm $.$ The properties of the potato are given to be $k=0\mathrm{.}6\frac{W}{mK},=1100k\frac{g}{m^3},C_p=3\mathrm{.}9k\frac{J}{kgK},$

a$).$ How long does it take for the center of the potato to reach $70C$ in the oven?

b$).$ What is the maximum amount of heat that could be transferred during the baking process?

c$).$ What is the actual amount of heat transferred during the baking process?

d$).$ What is the surface temperature of the potato when its center reached $70C?$