Q$1.$ For the system shown in Figure below, the pressure at $\backslash ($ A $\backslash )$ is maintained constant at $20$ psig. The total volume flow rate exiting from the pipe at B depends on which valves are open or closed. Use $\backslash (\backslash$mathrm$\{$K$\}=0\mathrm{.}9\backslash )$ for each elbow, but neglect the energy losses in the tees. Also, because the length of each branch is short, it neglects pipe friction losses. The steel pipe in Branch $1$ is $2$ in Schedule $40,$ and Branch $2$ is $4$ in Schedule $40.$ Calculate the volume flow rate of water for each of the following conditions:

A$)$ Both valves open.

B$)$ Valve in branch $2$ only open.

C$)$ Valve in branch $1$ only open

$\backslash [$

D$\_\{1\}=2\backslash$text $\{-$in Schedule $\}40$

$\backslash ]$