Quantitative Chemical Analysis
Quantitative Chemical Analysis
9th Edition
ISBN: 9781464135385
Author: Daniel C. Harris
Publisher: W. H. Freeman
Question
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Chapter 24, Problem 24.35P

a)

Interpretation Introduction

Interpretation:

The limit of the square-root term as k0 and k has to be calculated.

To calculate the limit of the square-root term as k0 and k

a)

Expert Solution
Check Mark

Answer to Problem 24.35P

The limit of the square-root term as k0 is 0.58 .

The limit of the square-root term as k is 1.9 .

Explanation of Solution

As k0 ,

Hminr=13Hminr=0.58

As k ,

Hminr=1+6k+11k23(1+k)2Hminr=11k23k2Hminr=113Hminr=1.9

b)

Interpretation Introduction

Interpretation:

The Hmin has to be calculated for k0 and k

To calculate the Hmin k0 and k

b)

Expert Solution
Check Mark

Answer to Problem 24.35P

Hmin for k0 is found to be 0.058mm .

Hmin for k is found to be 0.19mm .

Explanation of Solution

As k0 ,

Hminr=13Hminr=0.58Hmin=0.58rHmin=0.058mm

As k ,

Hminr=1+6k+11k23(1+k)2Hminr=11k23k2Hminr=113Hminr=1.9Hmin=1.9rHmin=0.19mm

Hmin for k0 = 0.058mm

Hmin for k = 0.19mm

c)

Interpretation Introduction

Interpretation:

The maximum number of theoretical plates in 50 m long column with 0.10 mm radius fir k=5.0 has to be calculated.

To calculate the maximum number of theoretical plates in 50 m long column with 0.10 mm radius fir k=5.0

c)

Expert Solution
Check Mark

Answer to Problem 24.35P

The maximum number of theoretical plates in 50 m long column with 0.10 mm radius fir k=5.0 is found to be 3.0×105 .

Explanation of Solution

For k=5 ,

Hmin=r1+6.50+11.253(36)Hmin=1.68rHmin=0.168mm

The number of plates is calculated as,

Number of plates = 50×103mm0.168mm/plate=3.0×105

Number of plates = 3.0×105

d)

Interpretation Introduction

Interpretation:

The relationship between phase ratio and thickness of stationary column in wall coated column and inside the radius of column has to be derived.

To derive the relationship between phase ratio and thickness of stationary column in wall coated column and inside the radius of column

d)

Expert Solution
Check Mark

Explanation of Solution

Phase ratio β :

The volume of mobile phase divided by the volume of the stationary phase is called as dimensionless phase ratio. The phase ratio is calculated as,

β=r2df

Where, β = phase ratio

r = radius of column

df = thickness of stationary phase time

Increase in thickness of stationary phase, decreases in β , that increases the retention time and capacity of sample.

e)

Interpretation Introduction

Interpretation:

The value of k has to be calculated if K=1000,df=0.20μmandr=0.10mm has to be calculated.

To calculate the value of k

e)

Expert Solution
Check Mark

Answer to Problem 24.35P

The value of k is found to be 4.0 .

Explanation of Solution

k=KVsVm

where , Vs = volume of stationary phase

Vm = volume of mobile phase

For length of column l,

Volume of mobile phase = πr2l

Volume of stationary phase = 2πrtl

Substitute these values in equation of k,

k=(2πrtl)πr2lk=2tKrk=2(0.20μm)(1000)(100μm)k=4.0

The value of k = 4.0

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