Consider a separation performed on a 35.0 mm long open tubular column with a 0.50 mm diameter and a 2.0 μm thick stationary phase. Compound A eluted at 12.61 min, compound B eluted at 13.43 min, and the unretained solvent eluted at 1.175 min. The widths at half‑height, ?1/2, of the peaks for compounds A and B are 0.142 min and 0.282 min, respectively. The number of theoretical plates for the column is calculated as   ?=√NA×NB   Using ?A and ?B, calculate the expected resolution for this separation. resolution:

Introduction to Chemical Engineering Thermodynamics
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ISBN:9781259696527
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Consider a separation performed on a 35.0 mm long open tubular column with a 0.50 mm diameter and a 2.0 μm thick stationary phase. Compound A eluted at 12.61 min, compound B eluted at 13.43 min, and the unretained solvent eluted at 1.175 min.

The widths at half‑height, ?1/2, of the peaks for compounds A and B are 0.142 min and 0.282 min, respectively.

The number of theoretical plates for the column is calculated as

 

?=√NA×NB

 

Using ?A and ?B, calculate the expected resolution for this separation.

resolution:
Expert Solution
Step 1

Given that-

length of tubular column (l)= 35 mm

diameter of column (d)=0.55 mm

thickness of stationary phase =2.0 μm = 0.002 mm

Retention time of early eluting compound a (trA) =12.61 min

Retention time of late eluting compound a (trB) =13.43 min

Minimum possible elution time of unretained solvent  (tm) =1.175 min

Peak width at half height for A, (w1/2A)=0.142 min

Peak width at half height for B, (w1/2B)=0.282 min

Now,

The number of theoretical plates are calculated as-

N=NA×NB

Here, NA and N are theoretical plates for compounds  A and B separately.

 

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