Air at $29\mathrm{.}5C$ DB flows over a cooling coil and leaves it at a state of $13C$ DB and $8\mathrm{.}5\frac{g}{k}g$

moisture content. The space has a cooling load $($RTH$)$ of $25$ kW and it is to be maintained at $25C$

DB and $50\%RH.$ The outside conditions are $44C$ DB and $30\mathrm{.}6C$ WB$.$ Determine:

a$)$ Latent portion of the room cooling load,

b$)$ Outdoor air mass and volume flow rate,

c$)$ Bypass factor of the cooling coil,

d$)$ Volume of dehumidified air,

e$)$ Mass flow rate of water removed by the coil.

Plot the process on a Psychrometric chart.