Atmospheric air at $\backslash (30^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $\backslash (90\backslash \%\backslash )$ relative humidity flows into a cooling duct at $\backslash (0\mathrm{.}25\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ as shown in FIGURE Q$3.$ As it exits the duct, air is cooled to $\backslash (20^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $\backslash (60\backslash \%\backslash )$ relative humidity. During the process, some water vapor in the air is condensed into liquid and is removed from the duct.

FIGURE Q$3$

a$.$ Determine the rate of heat removed from the atmospheric air.

$[6$ marks$]$

b$.$ Determine the mass flow rate of water removed from the atmospheric air.

c$.$ Indicate the specific humidity change in the process.

d$.$ If the cooled air is to be maintained at $\backslash (22^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ but its relative humidity is tobe reduced to $\backslash (40\backslash \%\backslash ),$ design a mechanism to remove the additional moisture content from the cooled air.