For part b of Problem 35, find the flow rate in a parallel flow branch. Assume all branches consist of smooth pips and use the friction factor as given by Equation IIIb.3.6. Water enters a system of...

For part b of Problem 35, find the flow rate in a parallel flow branch. Assume all branches consist of smooth pips and use the friction factor as given by Equation IIIb.3.6.

Water enters a system of parallel piping at a rate of 500 GPM. The pipes length and inside diameter are
L
₁
= 10 ft,
D
₁
= 2.5 in,
L
₂
= 20 ft,
D
₂
= 3.0 in,
L
₃
= 5 ft,
D
₃
= 2 in, and
L
₄
= 25 ft,
D
₄
= 3.5 in. All pipes are smooth and loss coefficients are negligible. Find the diameter of the equivalent pipe.