Problem $3$

A $1\mathrm{.}20\mathrm{.}40\mathrm{.}15m$ lean block of processed meat is to be frozen. The physical and thermal properties of this product are given in the table below. Determine the freezing time for this product, if the initial temperature of the product is $8C,$ and the final temperature is $-18C.$ The air inside the freezer is at $-30C$ and has a heat convection coefficient of $30\frac{W}{m^2}K.$

$\backslash$table$[[$Properties$,$Modified Plank's equation$],[$Freezing point $(C),-1\mathrm{.}75,=[1+0\mathrm{.}008(T_i-T_F)][\frac{h}{(T_F-T_{})}][P\frac{x}{h}+R\frac{(x{)}^2}{k}]$