Gasoline and $\{$:$v=4\mathrm{.}29{10}^{-7}\frac{m^2}{s})$ is transported at a rate of

$240\frac{L}{s}$ for a distance of $2km.$ The surface roughness of the piping is $0\mathrm{.}03$

$mm.$ If the head loss due to pipe friction is not to exceed $9m,$ determine the

minimum diameter of the pipe using the third Swamee$-$Jain formula.

The minimum diameter of the pipe is

$m.$