Question

A gel filtration column has a radius, y.of 0.80 cm and a length,l, of 20.0 cm

(a).Calculate the volume,${\mathbf{V}}_{\mathbf{t}}$of the column, which is equal to${\mathbf{\pi r}}^{\mathbf{2}}$

(b). The interstitial volume${\mathbf{V}}_{\mathbf{0}}$was 18.1 mL and the total volume of mobile phase was 35.8 mL.

Find.${\mathbf{K}}_{\mathbf{av}}$for a solute eluted at 27.4 mL.

Short answer

Gel filtration column with a radius r = 0.8cm and a length l = 20cm so we will calculate the following:

(a).The volume,${\mathrm{V}}_{\mathrm{t}}$, of the column, which is equal to${\mathrm{\pi r}}^2$

(b).${\mathrm{K}}_{\mathrm{av}}$ for a solute eluted at 27.4 mL, the interstitial volume, and the total volume of the mobile phase is 35.8 mL.

Step-by-step solution

Calculate the volume of the column  by the following equation:

$$\begin{gathered} {\mathrm{V}}_{\mathrm{t}}={\mathrm{\pi r}}^2 \\ {\mathrm{V}}_{\mathrm{t}}=\mathrm{\pi }{\left(0.8\mathrm{cm}\right)}^2\times 20\mathrm{cm} \\ {\mathrm{V}}_{\mathrm{t}}=40.2{\mathrm{cm}}^3=40.2\mathrm{mL} \end{gathered}$$

Calculate the by the following equation:

${\mathrm{K}}_{\mathrm{av}}=\frac{{\mathrm{V}}_{\mathrm{t}}-{\mathrm{V}}_{\mathrm{o}}}{{\mathrm{V}}_{\mathrm{m}}-{\mathrm{V}}_{\mathrm{o}}}$

$$\begin{gathered} {\mathrm{K}}_{\mathrm{av}}=\frac{27.4-18.1}{35.8-18.1} \\ {\mathrm{K}}_{\mathrm{av}}=0.53 \end{gathered}$$