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Chapter 25: Q7P (page 707)

If along $15 cm$ HPCL column has a place height of 5.0 what will be the half-width (in seconds) of a peak eluted at 10.0min? if plate height $5 渭尘$ ,what will be $w_{1 / 2}$ ?

Short Answer

Expert verified

The half-width (in seconds) of a peak eluted.

$L = 15 cm H = 5.0 渭尘 = 5.0 . 10^{- t} cm = \frac{15 cm}{5.0 . 10^{- 4} cm} = 3 . 10^{4} 3 . 10^{4} and 2 . 05^{- 5} s$

Step by step solution

01

definition of Theoretical plate

Theoretical plate height is a measure of a column's separating efficiency, similar to the number of separating plates in a liquid distillation column.

Given,

$L = 15 cm H = 5.0 渭尘 = 5.0 . 10^{- t} cm$

First we find the number of theoretical plates, N:

$H = \frac{L}{N} 鈬� N = \frac{L}{H} N = \frac{L}{N} = \frac{15 cm}{5.0 . 10^{- 4} cm} = 3 . 10^{4} t_{r} = 10.0 \min = 600 s$

02

Divide the value

Use this and the equation below to find and calculate the half-width in seconds:

$N = 5.55 {(\frac{T_{r}}{w_{1 / 2}})}^{2} w_{1 / 2} = \frac{5 . 55^{2} -}{N^{2}} t_{r} = 2.05 . 10^{- 5} s Hence, 3 . 10^{4} and 2.05 . 10^{- 5} s$

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Most popular questions from this chapter

The figure shows the separation of two enantiomers on a chiral stationary phase.

Sepation of enantiomers of Ritalin by HPLC with a chiral stationary phase.[Data from R.Bakhitar,L.Ramos,and F.L.S.Tse, 鈥淨uantification of methlylphenidate in plasma using chiral Liquid-chromatography/Tandem mass spectrometry: Application to Toxicokinetric studies,鈥滱nal Chim Acta 2002,469,261.]

(a)From $t_{r}$ and $w_{1 / 2}$ find N for each peak.

(b) From $t_{r}$ and $w_{1 / 2}$ find the resolution.

(c)Given $t_{m} = 1.62$ min, use Equation $23 - 23$ with the average N to predict the resolution.

(a)explain how to measure k and resolution.

(b)state three method for measuring $^{t_{m}}$ in reversed-phase chromatography.

(c)state three method for measuring $^{t_{m}}$ in hydrophilic interaction liquid chromatography.

(d)Estimate $^{t_{m}}$ for $^{15 脳 0.46}$ column containing $^{5 - 渭尘}$ particles operating at a flow rate of $^{1.5 mL / \min}$ Estimate $^{t_{m}}$ if the particle size were $^{3.5 - 渭尘}$ instead.

use figure $25 - 17$ to suggest which type of liquid chromatography you could use to separate compounds in each of the following categories.

(a)Molecular mass <2000,soluble in octane

(b) Molecular mass <2000 ,soluble in methanol-water mixtures

(c) Molecular mass <2000 ,weak acid

(d)Molecular mass<2000 ,soluble highly polar

(e) Molecular mass <2000 ,ionic

(f)Molecular mass<2000,soluble in water in nonionic various

(g) Molecular mass<2000,soluble in water in water, variety of changes

(h) Molecular mass<2000,soluble in tetrahydrofuran

(a) Why does mobile phase strength increase as solvent

becomes less polar in reversed-phase chromatography, whereas

mobile phase strength increases as solvent becomes more polar in

normal-phase chromatography?

(b) What kind of gradient is used in supercritical fluid chromatography?

Two peaks emerge from a reversed-phase chromatography column as sketched in the illustration.

According to Equation 23-33, resolution is given by

Resolution $= \frac{\sqrt{N}}{4} \frac{(伪 - 1)}{伪} (\frac{k_{2}}{1 + k_{2}})$

where $N$ is plate number, $伪$ is relative retention (Equation23-20), and $k_{2}$ is the retention factor for the more retained component (Equation 23-16).

(a) If you decrease the amount of organic solvent in the mobile phase, you will increase retention. Sketch the chromatogram if retention factors increase but $N$ and $伪$ are constant.

(b) If you change the solvent type or the stationary phase, you will change the relative retention. Sketch the chromatogram if $伪$ increases but $N$ and $k_{1}$ are constant.

(c) If you decrease particle size or increase column length, you can increase the plate number. Sketch the chromatogram if $N$ increases by (i) decreasing particle size and (ii) increasing column length. Assume $伪$ and $k_{2}$ are constant.

See all solutions

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