
(a)
Interpretation:
Reason behind the formation of more theoretical plates per meter than thick film has to be explained.
Concept Introduction:
Plate height can be calculated by van Deemter equation as follows:
Here
The term
The term
The term
Number of theoretical plates is calculated as follows:
Here,
(a)

Explanation of Solution
Particle size has a significant impact on the analyte band. For smaller sized particles at very low flow rate the second term in the van Deemter equation is high but other two terms are small so plate height is not high enough. At high flow rate, the third term cannot play significant role as it is proportional to the square of the particle size thus, the value of third term is not high enough. So the summation of all three terms is small. Hence plate height is low.
For lager sized particles at very low flow rate, second term in the van Deemter equation will be predominant, hence at low flow rate plate height is high. And at high flow rate, third term in the equation is predominant as it is proportional to the square of the particle size. So plate height is high.
Hence it can be concluded that in general pate height of thin films is greater than that of thick films because particle size in thin film is smaller than that of thick film.
As number of theoretical plates is inversely proportional to plate height hence number of theoretical plates is higher in case of this film.
(b)
Interpretation:
Mass of stationary phase in each column has to be calculated.
Concept Introduction:
Formula to calculate volume of stationary phase is calculated as follows:
(b)

Explanation of Solution
For narrow bore column mass of stationary phase is
For narrow bore open tubular gas chromatography plate height is calculated as follows:
The volume of stationary phase is calculated as follows:
Mass of stationary phase is calculated as follows:
For wide bore open tubular gas chromatography plate height is calculated as follows:
The volume of stationary phase is calculated as follows:
Mass of stationary phase is calculated as follows:
For narrow bore column mass of stationary phase is
(c)
Interpretation:
Mass of analyte can be injected has to be calculated.
Concept Introduction:
Refer to part (b).
(c)

Answer to Problem 22.4P
For narrow bore column
Explanation of Solution
For narrow bore open tubular gas chromatography plate height is calculated as follows:
The volume of stationary phase is calculated as follows:
Mass of stationary phase is calculated as follows:
Mass of analyte can be injected is calculated as follows:
For wide bore open tubular gas chromatography plate height is calculated as follows:
The volume of stationary phase is calculated as follows:
Mass of stationary phase is calculated as follows:
Mass of analyte can be injected is calculated as follows:
For narrow bore column
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