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Biophysical Miscellaneous

  1. A protein is to be purified using ion- exchange column chromatography. The relationship between HETP (Height Equivalent to Theoretical Plate) and the linear liquid velocity of mobile phase is given by :
    H =
    A
    + Bu + C
    u

    where H is HETP (m) and u is linear liquid velocity of mobile phase (m.s–1). The values of A, B and C are 3 × 10–8 m2.s–1, 3 s and 6 × 10–5 m, respectively. The number of theoretical plates based on minimum HETP for a column of 66 cm length will be ___________.
    1. 2000
    2. 500
    3. 1000
    4. All of the above
Correct Option: C

(i)

H =
A
+ Bu + C
u

The minimum HETP occurs when
u = √A / B = 10–4 m / sec
A = 3 × 10–8 m2 / sec
B = ​3 sec ​​​​
C =​ 6 × 10–5 m ​​
(ii)​  ∴​ H =​ 6.6 × 10–4
​​​Now,​ =​ 6.6 × 10–2 cm
(iii)​​
H =
L
, N = No. of theoretical plates
N

L =​ Length of the column
∴ H =
L
N

=
66 cm
= 1000
6.6 × 10-2 cm



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