Water flows from Reservoir $1$ to Reservoir $2$ through a $4-$in diameter, $500-$ft$-$length pipe, as shown below. The pipe lengths are $L_1=200-ft,L_2=100-ft$ and $L_3=300-ft.$ The pipe is riveted steel $)=(0\mathrm{.}003.$ The minor loss coefficients are: due to entrance $)=(0\mathrm{.}45,$ due to globe valve $)=(9\mathrm{.}98,$ due to bend $)=(0\mathrm{.}45,$ due to elbow $=0\mathrm{.}23,$ and due to exit $)=(1.$ Given the kinematic viscosity $=1\mathrm{.}90{10}^{-5}f\frac{t}{se{c}^2}.$

Determine the flow rate in the pipe; i$.$e$.,Q=?$