$($level $5)$ An air conditioner is designed to bring $10,000$ ft$3$

$/$min of outside air $(90$F$,29\mathrm{.}8$

inches Hg$,88\%$ relative humidity to $40$F$,$ thereby condensing a portion of the water

vapor, and then to reheat the air before releasing it into a room at $65$F$.$ Use the $8-$step

method to calculate the rate of condensation $($gallons H$2$ O$/$min$)$ and the volumetric flow

rate of the air delivered to the room $($Hint: treat the cooling condensation and reheating as

separate process steps.$)$