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A chilled air conditioning system is to be designed for a three$-$story office complex, as outlined in Figure. Ethylene

glycol, a commonly employed heat transfer liquid medium, is to be used. Average properties of the ethylene glycol

in the temperature range of interest are density $=69\mathrm{.}6$lb$($m$)/($t$)$t$^(3),$ specific heat $=0\mathrm{.}569$Bt$($u$)/($l$)$bm$-$R$,$ and viscosity $=$

$0\mathrm{.}0133$lb$($m$)/($t$)$t$-$s$.$ Cooling requirements are as follows:

The head loss through the air$-$handling unit in each building is a function of the flow rate $($cfs$)$ through the unit. An

approximate expression is K$=$f$($Q$^(2)),$ where

K$=18\mathrm{.}6-11\mathrm{.}7$Q$+2\mathrm{.}29$Q$^(2)$

Where Q is the flow rate in cubic feet per second $($cfs$)$ through an AHU and the KQ$^(2)$ is in ft$-$lb$($f$)/($l$)$bm$.$ The head loss in

ft$-$lb$($f$)/($l$)$bm across the chiller is taken to be $1\mathrm{.}25$Q$^(2),$ where Q is the total flow rate in cfs$.$ The temperature exits the

chiller $20\backslash$deg F cooler that it enters. The lines are well insulated, so that heat is minimized. In addition, the following

specifications mustbe met:

Provide valves to isolate each AHU $.$

Provide valves to isolate supply and return lines.

Provide the pipe in each line $($ANSI schedule $40).$

Pipe velocities must be between the economics velocities.

Provide valves to isolate the pump.

The head and power delivered to the fluid for pump.

The head loss in each line.