In the design of chemical plant equipment, materials are injected into the liquid or gaseous stream of the target equipment $($reactor$,$ distillation tower, etc.$)$ through a distributor. When injecting a new flow into the device, if the flow distribution is not uniform, a dead zone, which is an area where the flow has stopped, is created, causing various problems. Therefore, it is very important to ensure uniform flow distribution in the design of the distributor. There are several types of distributors, the most commonly used is the perforated pipe distributor, which has a hole drilled in the pipe.Using this perforated pipe distributor, we intend to uniformly inject the dispersed phase from the bottom of the extraction tower with an inner diameter of $1\mathrm{.}0$ m$.$In order to inject oil $($density $800$ kg$/$m$3,$ viscosity $0\mathrm{.}85$ cP$)$ into the extraction tower at a flow rate of $5\mathrm{.}0$ m$3/$h$,$ a pipe with an inner diameter of $20$mm was used to manufacture $20$ holes of the same diameter at equal intervals. Calculate the diameter $($mm$)$ of the hole for designing and manufacturing the distributor and the total pressure loss $($Pa$).$