A liquid of specific weight $$(pg) = 9000 N/m^3$$ flows by gravity from a tank of 0.3 m height through a 1.2 mm diameter capillary tube at a rate of 0.004 $$m^3/hr$$. as shown in figure. Sections 1 and 2 are at atmospheric pressure. Neglecting entrance effects and friction in the large tank, compute the viscosity of the liquid. Assume kinetic energy correction factor $$\alpha = 2.0.$$

A

$$8.9 \times 10^{-4} kg/m-s$$

B

$$10 \times 10^{-4} kg/m-s$$

C

$$6.9 \times 10^{-4} kg/m-s$$

D

$$3 \times 10^{-3} kg/m-s$$