$4)$ Processes in an occupied space $(25$ points$)$

A hospital operating room is being designed to use an HVAC system that delivers $100\%$ outdoor air to

avoid recirculating bioaerosols emitted from people in the space. For summer operation, the air leaving

the cooling coil and supplied to the space is at $55$F and $90\%$ RH$.$ Outdoor design conditions are $95$F

$($dry bulb$)$ and $40\%$ RH$.$ The summer design loads are: $200,000$ BTU$/$h $($sensible$)$ and $100,000$ BTU$/$h

$($latent$).$ You can assume that the specific enthalpy for moisture gains is ~$1100$ BTU$/$lbw $.$ The indoor air

design temperature is $70$F$.$ Determine $($i$)$ the state points of the room air leaving the operating room $($i$.$e$.,$

the temperature is $70$F$,$ but you must find the relative humidity, humidity ratio, and enthalpy$),($ii$)$ the

supply airflow rate required to condition the space $($in CFM; use an energy balance with enthalpy$),$ and

$($iii$)$ the capacity of the cooling unit required to cool from the outdoor air condition to the supply air

condition $($in BTU$/$h and tons$).$