Air flows through the Venturi meter shown below, where the diameter at the entrance is

$D_1=1\mathrm{.}0m$ and the diameter at the throat is $D_2=0\mathrm{.}4m.$ The pressures at the entrance

and the throat are $10$ kPa and $7$ kPa $,$ respectively. Assume air is incompressible with

a density of ${}_a=1\mathrm{.}2k\frac{g}{m^3}.$

Determine the mass flow rate through the Venturi meter in SI$.$

Figure $3$: Figure of Question $3.$