Solve Poiseuille's Equation: 10mL of Water in 37.50 cm h, 20.22 cm L

[Chiralic]

Homework Statement

Assume Poiseuille's law applies. If h = 37.50 cm, L = 20.22 cm, d = 0.830 mm, how many seconds will it take to collect 10 mL of water? Assume that the viscosity of water is 0.00100 Pa s, the density of water is 1000 kg/m3 and the acceleration due to gravity in the lab is 9.81 m/s2. Express your answer to 2 significant figures.

Homework Equations

Q= V/t

Q=pi x r^4 x P/8 x n x L (n = viscosity)

The Attempt at a Solution

Ok, so first I found out the pressure
P= density x height x gravity
= (1000 kg/ m^3)(0.375m)(9.81) = 3678.75 N/m^2

Then I calculated for Q using the second equation = 2.12 x 10^-7

Then I used t=V/Q = 0.10L / 2.12x10^-7
= 4.719 x 10^5

This does not seem remotely correct...eeks

Ty in advance

 

[SteamKing]

Hint: Check yer units (1 L = ? m^3; 10 mL = ? L)