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A DNA molecule of 100 base pairs can be modeled as an ellipsoid of rotation. The...

A DNA molecule of 100 base pairs can be modeled as an ellipsoid of rotation. The partial specific volume is0.60 cm3/gand the approximate diameter of double helical DNA is 20A. a) Calculate the frictional coefficient fof the DNA particle assuming the viscosity of the solvent is 1 cpoise b) Calculate the diffusion coefficient of the DNA at T=293K

Solutions

Expert Solution

(a)

The relation between RH and RG is shown below:

......(1)

Here,

RG = radius of gyration

RH = hydrodynamic radius

The RG can be calculated by using the formula given below:

......(2)

Here,

N = number of base pairs

P = persistence length

The persistence length for DNA =

The approximate distance between successive base pairs in DNA =

Calculate RG using formula (2) as shown below:

Calculate RH using formula (1) as shown below:

Calculate the frictional coefficient 'f' of the DNA particle assuming the viscosity of the solvent "1 poise" using the formula as shown below:

Therefore, the frictional coefficient 'f' of the DNA particle is .

(b)

Calculate the diffusion coefficient of the DNA at T (293K) using the formula as shown below:

Therefore, the diffusion coefficient of the DNA at T (293K) is .

gladiator answered 1 year ago

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