A triangular gate with a base width of $2$ m and a height of $1\mathrm{.}5$ m lies in a vertical plane. The top vertex of the gate is $1\mathrm{.}5$ m below the surface of a tank which contains oil of specific gravity $0\mathrm{.}8.$

Considering the density of water and acceleration due to gravity to be $1000$ kg$/$m and $9\mathrm{.}81$ m$/$s$^2,$ respectively, the hydrostatic force $($in kN$)$ exerted by the oil on the gate is$\_\_\_\_\_\_\_\_\_\_.$