$($a$)$ A wet granular solid on a conveyor belt is dried by passing it through a tunnel dryer, where it is contacted with a counter$-$current flow of warm air as illustrated below:

The warm air enters at $50C$ with an initial humidity of $0\mathrm{.}005k\frac{g}{k}g$ and a volumetric flow rate of $30\frac{m^3}{m}in,$ and leaves at $25C$ with a final humidity of $0\mathrm{.}0155k\frac{g}{k}g.$ The wet granular solid fed to the dryer is $8\%$ water by mass and has a total flow rate, including, water, of $0\mathrm{.}1k\frac{g}{s}.$ Using the psychrometric chart supplied:

$($i$)$ find the percentage relative humidity, dew point and wet$-$bulb temperature of the warm air supplied to the dryer;

$($ii$)$ find the rate of water removal from the solid, in $k\frac{g}{m}in$;

$($iii$)$ find the mass $\%$ water content of the dried solid leaving the dryer.