Q$2$: $(17$ Marks$)$

It is required to maintain an air$-$conditioned room at $28C$ DBT and $20CWBT,$ the room has a sensible heat load of $45$ kW and a latent heat load of $16$ kW $.$ The air supplied from the outside atmosphere at $40C$ DBT and $28CWB$ is $22\frac{m^3}{\text{m}\text{i}\text{n}},$ directly into the room through ventilation and infiltratton. Outside air to be conditioned is passed through the cooling coil whose apparatus dew point is $9C.60\%$ of the recirculated air from the room is mixed with the conditioned air after the cooling coil. Sketch the processes on a psychrometric chart and determine:

$($i$)$ Air conditioning after the coil and before the recirculated air mixes with it$.$

$($ii$)$ Condition of air entering the room i$.$e$.,$ after mixing with recirculated air.

$($iii$)$ Mass of fresh air entering the cooler.

$($iv$)$ By$-$pass factor of the cooling coil.

$($v$)$ Capacity of the cooling coil