Water at $20C$ flows in a $5-$m$-$diameter horizontal pipe. A nozzle is installed between

point $1$ and $2$ in order to accelerate the flow.

The pipe diameter after the nozzle is $1\mathrm{.}9m,$ and the pressure drop due to the nozzle is

measured using a mercury differential manometer.

Assume a minor head loss of $1m.$

Determine the discharge in the pipe

${}_{H_{2}O}=998k\frac{g}{m^3}$;$g=9\mathrm{.}81\frac{m}{s^2}$