What diameter needle should be utilized to inject a volume, Physics

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What diameter needle should be utilized to inject a volume

What diameter needle should be utilized to inject a volume of 500cm^3 of a solution into a patient in 30 min? Suppose the length of the needle is 2.5cm and the solution is elevated 1.0m above the point of injection. Also suppose the density and viscosity of the solution are of those of pure water and the pressure inside the vein is atmospheric

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