$2-$ The figure below shows a rooftop air conditioning unit that provides air to a conditioned space.

You are given:

$-$ The supply air flow to the space is $\backslash (16,666\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$hr$\}\backslash ).$

$-$ The sensible heating load is $\backslash (60,000\backslash$mathrm$\{$Btu$\}/\backslash$mathrm$\{$hr$\}\backslash ).$

$-$ Due to insufficient insulation, the return air gains $\backslash (6,000\backslash$mathrm$\{$Btu$\}/\backslash$mathrm$\{$hr$\}\backslash )$ from the surrounding.

$-$ The control dampers of the system maintain a fresh air portion of $\backslash (25\backslash \%\backslash )$ of the air mass flow at point $(1).$

$-$ The ADP $($the surface temperature of the cooling coil$)$ is $45$ F $.$

Find the following:

$1-$ Draw the air processes on the psychrometric chart.

$2-$ What is the dry bulb and wet bulb temperatures, Humidity Ratio, Enthalpy, Specific Volume, and the relative humidity of the supply air $($point $(4)$

$3-$ Calculate the total cooling load, latent load and SHF

$4-$ How much is the flow and the temperature of the water condensate.

$5-$ Calculate the total capacity of the cooling coil, SHF for the cooling coil $($refrigerating coil$),$ and the cooling coil bypass factor.

$6-$ What is the yearly cost of running the fan if the fan capacity is $2$ hp $,$ the run time is $\backslash (5000\backslash$mathrm$\{$hr$\}/\backslash$mathrm$\{$yr$\}\backslash )$ and the cost of electricity is $\backslash (0\mathrm{.}1\backslash$mathrm$\{$~S$\}/\backslash$mathrm$\{$kw$\}\backslash )-$hr$.$