A given space is to be maintained at $25Cdb$ and $18C$ wb$.$ The total heat gain to the space has been determined to be $30$ kW $,$ of which $22\mathrm{.}5$ kW is sensible heat transfer. The volume flow rate of the outdoor air requirement of the occupants is $24\frac{m^3}{m}in.$ The outdoor air has a temperature and relative humidity of $38C$ and $40$ percent, respectively. Assume the wb temperature of the supplied air is $12C.$ Assume sealevel pressure.

Determine the following:

$($a$)$ the dry bulb temperature of air supplied to the space, in $C.$

$($b$)$ the amount of air supplied to the space, in $k\frac{g}{s}($ kg of dry air per second$).$

$($c$)$ the required capacity of the cooling and dehumidifying equipment, in kW $.$

$($d$)$ the dew point temperature of the apparatus and the cooling coil bypass factor.

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