What is the density of liquid if radius of capillary filled with this liquid is

Question

What is the density of liquid if radius of capillary filled with this liquid is equal 1 mm, the liquid elevation in the capillary is 25 mm, the surface tension is 60.3 mN/m, the cos theta is equal 1. The volatile liquids exhibit (more than one true answer possible): strong intermolecular attraction forces weak intermolecular attraction forces low boiling point; high boiling point Partition coefficient between ether and water for some medicine is equal 14.1. At the beginning of experiment the water layer contains 1.5 times 10^3 mol L^-1 of medicine. What is the concentration of this solute in organic layer at equilibrium?

Explanation / Answer

6) We know that surface Tension T = dgrh/2cos       where d = density of the liquid

                                                 d = 2Tcos/grh

          Given that Surface tension T = 60.3 mN/m = 60.3 x 10-3 N/m

                              radius r = 1 mm = 0.001 m

                         height of liquid h = 25 mm = 0.025 m

                        cos = 1

                      acceleration due to gravity g = 9.8 m/s2

                         density of the liquid , d = ?

Hence,

density of the liquid , d = 2Tcos/grh

                                  = 2 x 60.3 x 10-3 N/m x 1 / [ 9.8 m/s2 x 0.001 m x 0.025 m]

                                 = 492 kg/m3

                                 = 0.492 g/cm3

Therefore,

density of the liquid = 0.492 g/cm3

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