Question $2$ of $8$

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As shown in the figure, air with a volumetric flow rate of $16,000f\frac{t^3}{m}in$ enters an air$-$handling unit at $80F,1$atm. The air$-$handling unit delivers air at $45F,1$atm to a duct system with three branches consisting of two $26-$in$.-$diameter ducts and one $50-$in$.$ duct. The velocity in each $26-$in$.$ duct is $13f\frac{t}{s}.$ Assume steady state operation and ideal gas behavior for the air.

Determine the mass flow rate of air entering the air$-$handling unit, in $l\frac{b}{s},$ the volumetric flow rate in each $26-in.$ duct, in $f\frac{t^3}{m}in,$ and the velocity in the $50-$in$.$ duct, in $f\frac{t}{s}.$