Question

A solute with a retention time of 407 s has a width at the base of 13.0s on a column 12.2 m long. Find the number of plates and plate height.

Answer 1

Answer : The number of plates and plate height is,
`1.57* 10^4` plates and
`7.77* 10^(-4)m` respectively.

Explanation : Given,

Retention time = 407 s

Width of a base = 13.0 s

Length = 12.2 m

First we have to calculate the number of plates.

Formula used :

`N=16* ((t_r)/(w))^2`

where,

N = number of plates

`t_r` = retention time

w = width of a base

Now put all the given values in the above formula, we get:

`N=16* ((407)/(13.0))^2`

`N=1.57* 10^4` plates

Now we have to calculate the plate height.

Formula used :

`H=(L)/(N)`

where,

H = height of plate

L = length

N = number of plates

Now put all the given values in the above formula, we get:

`H=(12.2)/(1.57* 10^4)`

`H=7.77* 10^(-4)m`

Thus, the number of plates and plate height is,
`1.57* 10^4` plates and
`7.77* 10^(-4)m` respectively.