Problem: An experiment is being carried out in a laboratory on the feasibility of industrial drying of a certain food product. From this experimentation, drying data were obtained with a tray dryer and air flow over the exposed upper surface $($see data in the annex table$).$ The drying area is $0\mathrm{.}1m^2$ and the mass of the dry solid is $3kg.$ The humidity of the gas used for drying is $0\mathrm{.}015k\frac{g}{k}g$ of dry air. With the above information:

A$)$ Make a graph of mass of wet solid $($in $kg)$ versus time $($in h$)$

b$)$ Make a graph of free moisture X $($in $kg$ water $\frac{?}{kg}$ dry solid$)$ versus time $($in $h)$

c$)$ Measuring the slopes, calculate the drying rates $R($in $kg$ water $\frac{?}{h}*m^2),$ and plot $R$ versus $x.$

d$)$ Calculate Xc $($in $kg$ water $\frac{?}{kg}$ dry solid and the drying rate $Rc($in $kg$ water $\frac{?}{h{m}^2}),$ for the constant velocity region.

e$)$ From your graphs above, obtain an algebraic relationship between the drying rate $R($in $kg$ water $\frac{?}{h{m}^2})$ and the free moisture $($in $kg$ water $\frac{?}{kg}$ dry solid$)$ in the decreasing rate section. f$)$ If said solid must be dried from a humidity of $25\%$ to $3\%$ on a wet basis $($mass of water$/$total mass$)$ under the same drying conditions of the experiment, determine the total drying time.

Drying Laboratory Data

$\backslash$table$[[,$Wet solid mass $(kg)$