Q$\mathrm{.}1$:

In a certain area, the dry bulb temperature of the atmospheric air was $\backslash (40^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ at a pressure of $1\mathrm{.}01325$ bar and a percentage saturation of $\backslash (70\backslash \%\backslash ).$ The air entered a cooler with a volumetric flow rate of $\backslash (0\mathrm{.}45\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash )$ and left the cooler in a saturation condition. The air was then allowed to flow through a heater after which it entered a room with a temperature and relative humidity of $\backslash (27^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $\backslash (50\backslash \%\backslash ),$ respectively. Calculate:

$($a$)$ The specific humidity of the atmospheric air.

$($b$)$ The mass flow rate of the dry air.

$($c$)$ The specific humidity of the air entering the room.

$($d$)$ The temperature of the air at the exit of the cooler.

$($e$)$ The quantity of water condensed in the cooler in one hour.

For dry air $\backslash (\backslash$mathrm$\{$R$\}=0\mathrm{.}287\backslash$mathrm$\{$~kJ$\}/(\backslash$mathrm$\{$kg$\}\backslash$mathrm$\{$K$\})\backslash ).$