Intravenous infusions usually are driven by gravity by hanging the fluid bottle at sufficient height to counteract the blood pressure in the vein and to force the fluid into the body. The higher the bottle is raised, the higher the flow rate of the fluid will be$.$ If the pres sure of the fluid at the arm level needs to be $109$ kPa for sufficient flow rate, determine in cm how high the bottle must be placed. Take the density of the fluid to be $1022$ kg$/$m$3$ and the atmospheric as $101\mathrm{.}325$ kPa.