Separation Power in Sedimentation

The sedimentation force acting on a mole of particles of molecular weight M is 

The value of v can often be approximated as reciprocal particle density, pj1. 

The negative chemical potential increment associated with migration from radius rx to r2 is the force integrated over the rx to r2 interval. This becomes 

The liquid density p in the above equations may vary substantially over the separation path due to the density gradients, in which case p should technically be included in the integration, or assigned a properly weighted average value. 

The number of theoretical plates can be obtained by substituting the above -A/ac 1 into Eq. 8.6 

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