Question $3$: A tilter cake $610m{m}^2$ and $51mm$ thick, supported on a screen, is ciried irom hoth sides with air at a wet bulb temperature of $26\mathrm{.}7C$ and a dry bulb temperature of ${48\mathrm{.}9}^{\text{@}1}C.$ The air flows parallel with the faces of the cake at a velocity of $1\mathrm{.}07\frac{m}{s}$ and temperature of $351K$ with a pressure of I atm. The dry density of the cake is $1922k\frac{g}{m^3}.$ The equilibrium moisture content is negligible. Under the condition of drying the critical moisture content is $9$ percent, dry basis. Calculate $1)$ what is the drying rate during constant rate period? $2)$ How long would it take to dry this material from an initial moisture content of $20$ percent $($dry basis$)$ to a linal moisture content of $10$ pereent? The heat transfer coefficient is given by $h_{G_j}=0\mathrm{.}0204C{i}^{10},$ where $G$ is the mass velocity of the air. Heat of vaporization of water at given condition is $2397k\frac{J}{k}g.$