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In: Chemistry

21. Assume that spherical particles with diameter=100 μm and density=1.1 g/cm3 have sedimentation velocity of 1...

21. Assume that spherical particles with diameter=100 μm and density=1.1 g/cm3 have sedimentation velocity of 1 cm/min in a solution with density=1 g/cm3. What is the sedimentation velocity of spherical particles with diameter=50 μm and density=1.3 g/cm3 in the same conditions?

Solutions

Expert Solution

Sedimentation Velocity,

  

Where,

  

             

             

                

               

Given that for a spherical particle with diameter(d) = 100 μm , density(ρ) = 1.1g/cm3 and density of solution(L) = 1g/cm3 , sedimentation velocity(v) = 1cm/min.

  

                        

For a spherical particle with diameter(d) = 50 μm , density(ρ) = 1.3g/cm3 , under the same conditions,

The sedimentation velocity is given by,

Where the value of η is taken from the equation no.(1)

Solving for v, we get

*Please be careful about the units while solving the problem.

*I have clearly specified the units. Please go through it thoroughly.


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