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The sedimentation coefficient increases with :

  • A.Increase in solvent density
  • B.Increase in friction
  • C.Decrease in mass of the particle
  • D.Decrease in partial specific volume

Answer: D

The sedimentation coefficient increases with a decrease in partial specific volume.

The Svedberg equation gives the sedimentation coefficient as:

\[ s = \frac{M(1 - \bar{v}\rho)}{N_A f} \]

where \(M\) is molar mass, \(\bar{v}\) the partial specific volume, \(\rho\) the solvent density and \(f\) the frictional coefficient. A smaller \(\bar{v}\) (a denser particle) makes the buoyancy term \(1 - \bar{v}\rho\) larger, so \(s\) rises.

The other changes all lower \(s\): a denser solvent increases buoyancy, more friction slows the particle, and less mass reduces the driving force.

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