IA 1-3

I. Analytical Chemistry, Signal & Noise

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1

What are the two fundamental questions of analytical chemistry?

What is it? (qualitative analysis) and how much is there? (quantitative analysis).

2

What is the main distinction between qualitative and quantitative analysis?

Qualitative determines identity; quantitative determines amount/concentration.

3

Why are separation techniques important in analytical chemistry?

Many analytical techniques require pure compounds, so components often must be separated before analysis.

4

What is the difference between precision and accuracy?

Precision describes reproducibility; accuracy describes closeness to the true value.

5

How can precision be assessed experimentally?

By making replicate measurements and examining their standard deviation.

6

How is percent error calculated?

(measured−true)/true×100%.

7

When is absolute error more appropriate than percent error?

When the measurement error is approximately constant regardless of the magnitude of the measurement.

8

Why does every instrumental measurement contain noise?

Noise-free data do not exist; measurements contain both signal and random/systematic fluctuations.

9

What does the signal-to-noise ratio tell you?

It indicates the quality of an instrumental measurement.

10

How does increasing S/N affect measurement uncertainty?

A larger S/N corresponds to smaller error/uncertainty.

11

What approximate minimum S/N should generally be exceeded for a useful measurement?

About 2–3.

12

What are three ways a signal can be quantified?

Peak height, peak area, or total current, depending on the instrument.

13

What is chemical noise?

Uncontrollable variables affecting the system, such as temperature/pressure fluctuations or chemical interferences.

14

What is instrumental noise?

Noise arising from components of the instrument.

15

What causes Johnson (thermal) noise?

Movement of electrons in electronic components such as resistors and capacitors.

16

What causes shot noise?

Random variations in photons reaching a detector or electrons generated in a semiconductor.

17

When is shot noise especially important?

In low-signal applications.

18

What is flicker noise?

Noise whose magnitude is inversely related to frequency, commonly called 1/f noise.

19

When is flicker noise especially significant?

At low frequencies.

20

What is environmental noise?

Noise from the surroundings picked up by components of the instrument.

21

How can grounding and shielding improve S/N?

They reduce electronic noise.

22

Why can difference measurements reduce noise?

Noise tends to cancel when the difference between measurements is taken.

23

How does signal averaging affect S/N?

S/N improves approximately as the square root of the number of measurements.

24

What is ensemble averaging?

Co-adding successive datasets point-by-point and plotting the average value at each x-coordinate.

25

What is boxcar averaging?

Averaging a fixed number of adjacent data points, then moving to the next non-overlapping group.

26

What is moving averaging?

A running average in which the averaging window moves one point at a time.

27

What fraction of a Gaussian distribution lies within ±1 standard deviation?

68.3%.

28

What fraction lies within ±2 standard deviations?

95.5%.

29

What fraction lies within ±3 standard deviations?

99.7%.

30

What is the relationship between FWHM and σ for a Gaussian peak?

FWHM = 2.335σ.

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II. Figures of Merit

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31

What six major figures of merit govern analytical-method selection?

Precision, accuracy, sensitivity, detection limit, dynamic range, and selectivity.

32

What other factors besides figures of merit influence method selection?

Speed, ease of use, required skill, and cost.

33

What is instrument sensitivity?

The slope of the response vs. concentration calibration curve.

34

What does a steeper calibration curve imply?

Greater sensitivity to small changes in concentration.

35

What is the limit of detection (LOD)?

The smallest concentration that can be measured reliably at a specified confidence level; statistically distinguishable from the blank.

36

What primarily limits the detection limit?

Statistical fluctuations in the signal of the blank.

37

According to the lecture, what is one estimate for detection-limit signal?

Average blank signal + 3 × standard deviation of the blank.

38

What is the limit of quantification (LOQ)?

The smallest amount of analyte that can be reliably quantified.

39

According to the lecture, what signal criterion is given for LOQ?

Average blank signal + 10 × standard deviation of the blank.

40

What is dynamic range?

The concentration region over which the calibration curve remains linear.

41

Why can a sample that is too concentrated be problematic?

It may fall outside the linear dynamic range, so it must be diluted.

42

How does selectivity affect chemical interference?

Greater selectivity means less concern about chemical interferences.

43

What is the tradeoff associated with high selectivity?

A highly selective technique may not be broadly applicable to many compounds.

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III. Chromatography Fundamentals

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44

What three features are required for chromatographic separation?

A mobile phase, a stationary phase, and a phase boundary across which analytes partition.

45

What is the mobile phase?

The phase that moves through the chromatographic system; it may be a gas or liquid.

46

What is the stationary phase?

The phase that remains stationary; it may be a solid or liquid.

47

What causes chromatographic separation?

Different analytes interact differently with the stationary and mobile phases.

48

What equilibrium is established in chromatography?

An equilibrium between molecules in the mobile and stationary phases.

49

What does a distribution coefficient Kc​>1 imply?

More analyte is in the stationary phase than in the mobile phase.

50

Why does stronger interaction with the stationary phase generally increase retention?

The molecule spends more time in the stationary phase, delaying its movement through the column.

51

What is tm​?

The time required for the mobile phase to traverse the column.

52

Why do all compounds share the same mobile-phase travel time?

They all spend the same amount of time moving with the mobile phase.

53

Where does chromatographic separation primarily occur?

In the stationary phase, because compounds differ in their stationary-phase interactions.

54

What defines adsorption chromatography?

The stationary phase is a solid, and molecules adsorb onto it.

55

Give two examples of adsorption chromatography.

TLC and column chromatography.

56

What defines partition chromatography?

The stationary phase is a liquid on a solid support, and analytes dissolve into it.

57

In normal-phase LLC, how do mobile and stationary-phase polarities compare?

The mobile phase is nonpolar/less polar and the stationary phase is polar/more polar.

58

In reverse-phase LLC, how do mobile and stationary-phase polarities compare?

The mobile phase is polar/more polar and the stationary phase is nonpolar/less polar.

59

What is ion-exchange chromatography designed to separate?

Ions, based on interactions with charged stationary-phase sites.

60

What is size-exclusion chromatography based on?

Differences in molecular size and access to pores in the stationary phase.

61

In size-exclusion chromatography, which molecules enter the pores more easily?

Smaller molecules.

62

Why do larger molecules elute before smaller ones in size-exclusion chromatography?

Large molecules are excluded from the pores and therefore spend less time in the stationary phase.

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IV. Plate Theory, HETP & Van Deemter

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63

What does the number of theoretical plates, N, measure?

Chromatographic efficiency.

64

What does a larger N indicate?

Better separation / greater efficiency.

65

Why can't N alone be used to compare columns of different lengths?

N generally increases as column length increases.

66

What is HETP?

Height equivalent to a theoretical plate, H=L/N.

67

What does a smaller HETP indicate?

A more efficient separation.

68

Why is HETP more useful than N when comparing columns of different lengths?

HETP normalizes efficiency for column length.

69

What factors can affect HETP?

Technique, mobile/stationary phases, temperature, and flow rate.

70

What does the Van Deemter equation describe?

The relationship between peak broadening/efficiency and flow velocity.

71

What does the A term represent in the Van Deemter equation?

Eddy diffusion from different paths through packed particles.

72

What factors affect the A term?

Packing-particle size and how tightly the column is packed.

73

What does the B term represent?

Longitudinal diffusion of analyte along the column.

74

Why does the B term become smaller at higher flow velocity?

There is less time for longitudinal diffusion to broaden the band.

75

What does the C term represent?

Mass-transfer broadening caused by differences in how quickly analyte molecules equilibrate with the stationary phase.

76

How does the C term depend on flow rate?

It is directly proportional to flow rate.

77

Why is there an optimal flow rate in chromatography?

One source of broadening decreases with flow velocity while another increases, producing a minimum H at an intermediate velocity.

78

What is the consequence of operating far below the optimal flow rate?

Longitudinal diffusion becomes increasingly important.

79

What is the consequence of operating far above the optimal flow rate?

Mass-transfer broadening becomes increasingly important.

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V. Retention, Selectivity & Resolution

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Why do two compounds separate chromatographically?

They have different interactions with the stationary phase.

81

What does the retention factor k indicate?

The extent to which a compound is retained relative to the mobile phase.

82

What is chromatographic resolution, Rs​, used to describe?

How well two neighboring peaks are separated.

83

What does Rs​≈0.6 indicate?

A valley between the peaks can be distinguished.

84

What does Rs​≈1.5 indicate?

The peaks are baseline resolved.

85

What is the selectivity/separation factor α used to describe?

The relative retention/selectivity between two compounds.

86

If two compounds have identical stationary-phase interactions, what happens to their separation?

Their chromatographic separation decreases because their retention becomes similar.

87

What generally improves resolution: broader or narrower peaks?

Narrower peaks, because overlapping decreases.

88

Why can simply increasing column length have diminishing benefits?

Although N increases, peak widths also increase with the longer time spent in the column.

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VI. Gas Chromatography (GC)

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What is the mobile phase in GC?

A gas.

90

What major property must analytes have to be useful in GC?

They must be volatile enough to enter and remain in the gas phase under operating conditions.

91

What is the carrier gas in GC?

A high-purity gas serving as the mobile phase.

92

What carrier gases are commonly used in GC?

He, H₂, N₂, or Ar.

93

Why must GC carrier gas be highly pure?

Impurities can degrade the column and cause false signals.

94

Why is the GC injector heated?

To vaporize the sample.

95

Why is the injector typically hotter than the oven?

The lecture specifies roughly 30–50°C above the highest oven temperature to ensure vaporization.

96

What can happen to a GC sample before it enters the column?

It is often split before entering the column.

97

What is the purpose of an oven in GC?

To maintain elevated temperature so analytes remain gaseous and to control elution.

98

What is an isothermal GC experiment?

The oven remains at one temperature throughout the run.

99

What is a temperature-programmed GC experiment?

The oven ramps temperature during the run.

100

In GC, which compounds generally elute first?

More volatile compounds.

101

What is the main difference between packed and open-tubular GC columns?

Packed columns contain packing material; open-tubular columns have no solid support and stationary phase bonded directly to the capillary interior.

102

Why are open-tubular columns generally more efficient?

They have a very small contribution from the A term of the Van Deemter equation.

103

What must a GC stationary phase be able to withstand?

It must be thermally stable, nonvolatile, and nonreactive toward the analyte.

104

What is a major advantage of open-tubular columns?

They provide more efficient separations.

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VII. GC Detectors

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105

What does a thermal conductivity detector (TCD) measure?

Changes in the resistivity of a heated wire in the gas stream.

106

What is a major advantage of TCD?

It is universal and non-destructive.

107

What is a major disadvantage of TCD?

Poor sensitivity.

108

Why does a TCD require a reference flow?

It compares the sample stream against the mobile phase/reference gas.

109

What is the most widely used GC detector?

Flame ionization detector (FID).

110

How does FID detect analytes?

Analytes are burned in an H₂/air flame, ionized, and the resulting ion current is measured.

111

Compared with TCD, how sensitive is FID?

More sensitive.

112

Is FID destructive or non-destructive?

Destructive.

113

What kinds of structural information does FID provide?

None according to the lecture.

114

What is the principle of an electron-capture detector (ECD)?

Electronegative analytes capture electrons, reducing the measured current.

115

What compounds are particularly well suited to ECD?

Compounds containing halogens, NO₂, or phosphorus.

116

What is the major strength of ECD?

Selectivity for electronegative compounds.

117

What is an FPD selective for?

Sulfur- and phosphorus-containing compounds.

118

How does an FPD generate its signal?

Combustion produces excited species that emit photons.

119

What does an MS detector measure in GC?

Ions according to their mass-to-charge ratio (m/z).

120

What major advantage does GC-MS have over many other GC detectors?

It provides qualitative structural information about analytes.

121

What major disadvantage does MS have relative to simple GC detectors?

It is expensive and destructive.

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VIII. Liquid Chromatography & HPLC

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122

What is the fundamental difference between GC and LC in how analytes interact with the phases?

In LC, analytes interact with both mobile and stationary phases, while GC uses a gaseous mobile phase and analyte volatility is essential.

123

In liquid-solid chromatography, what is the stationary phase?

A solid, onto which analytes adsorb.

124

In liquid-liquid chromatography, what is the stationary phase?

A liquid in which analytes dissolve.

125

In normal-phase LC, which compounds generally elute first?

Less-polar compounds.

126

In reverse-phase LC, which compounds generally elute first?

More-polar compounds.

127

Why do nonpolar analytes elute first in normal-phase LC?

They have greater affinity for the nonpolar mobile phase than for the polar stationary phase.

128

What happens to mobile-phase polarity in a normal-phase gradient?

It is increased to help elute more-polar analytes.

129

What happens to mobile-phase polarity in reverse-phase gradient elution?

It is decreased to help elute less-polar analytes.

130

Why must solvents in a mobile-phase gradient remain miscible?

The changing solvent composition must remain a single usable mobile phase.

131

What is isocratic LC?

Mobile-phase composition remains constant throughout the run.

132

What is gradient LC?

Mobile-phase composition changes during the run.

133

What is the conceptual LC analogue of GC temperature programming?

Gradient elution.

134

What are typical normal-flow HPLC flow rates given in the lecture?

Approximately 0.1–10 mL/min.

135

Why must HPLC injectors maintain pressure during injection?

The analyte must be introduced into the flowing mobile phase without losing system pressure.

136

Why must HPLC columns withstand high pressure?

High flow through packed particles creates substantial pressure.

137

What type of HPLC pump is most common?

A reciprocating pump.

138

What is a major advantage of a reciprocating pump?

Excellent flow control.

139

What is the purpose of an HPLC sample loop?

To introduce a defined sample into the flowing mobile phase without losing pressure.

140

Why are columns often made of stainless steel in normal-flow HPLC?

They must tolerate the high pressures used in the system.

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IX. LC Detectors & Fluorescence

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141

How does a refractive-index detector work?

It compares the refractive index of the solvent with that of the solvent + analyte.

142

What is a major advantage of a refractive-index detector?

It is the most universal LC detector.

143

What is a major limitation of a refractive-index detector?

It cannot be used with solvent gradients.

144

What does a UV-visible detector measure?

Absorption of light by analytes.

145

According to Beer’s law, how does absorbance depend on concentration?

A=εbc, so absorbance is proportional to concentration under the stated conditions.

146

In A=εbc, what does b represent?

Path length.

147

In A=εbc, what does c represent?

Concentration.

148

What is a major advantage of fluorescence detection?

It is very sensitive and selective with very low background.

149

Why is fluorescence highly selective?

Most molecules do not fluoresce.

150

Is fluorescence detection destructive?

No; it is non-destructive according to the lecture.

151

What is fluorescence tagging?

Derivatizing a nonfluorescent analyte to create a fluorescent compound.

152

What is pre-column derivatization?

Tagging the analyte before chromatographic separation.

153

What is post-column derivatization?

Tagging the analyte after separation but before detection.

154

Why must ninhydrin be used post-column for the example given?

The amine's R group is not retained in the product, so tagging before separation would interfere with the separation.

155

Why can dansyl chloride be used either pre- or post-column?

The R group is retained in the derivative.

156

What is anthranilic acid used to tag in the lecture?

Carbohydrates.

157

What is a major advantage of LC-MS?

It provides substantial structural information and is compatible with electrospray ionization.

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X. Ion Exchange & Size Exclusion

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158

What is the stationary phase in ion-exchange chromatography?

A polymer/resin containing positively or negatively charged groups.

159

What determines retention in ion-exchange chromatography?

Charge density of the analyte.

160

Why do small compact ions generally bind more strongly than larger diffuse ions?

Their charge is more concentrated, producing stronger interaction with the stationary phase.

161

Why does a dication generally bind more strongly than a monocation?

It has greater charge density.

162

What charge state predominates at low pH in the amino-acid example?

Cations.

163

What charge state predominates at medium pH in the amino-acid example?

Zwitterions.

164

What charge state predominates at high pH in the amino-acid example?

Anions.

165

What is the stationary phase in size-exclusion chromatography?

A cross-linked polymer containing large, uniform pores.

166

What happens to small molecules in size-exclusion chromatography?

They enter the pores and become temporarily trapped.

167

What happens to large molecules?

They are excluded from the pores.

168

How is retention related to molecular mass in size-exclusion chromatography?

Retention is inversely related to molecular mass.

169

Why should size-exclusion chromatography not be used for small molecules according to the lecture?

The technique is intended to separate species based on size, particularly larger molecules.

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XI. Qualitative & Quantitative Chromatographic Analysis

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How can chromatographic retention time be used for qualitative analysis?

Compare an analyte's retention time with that of a known standard under identical conditions.

171

Why is retention time alone not definitive identification?

Different compounds can have the same retention time.

172

How does mass spectrometry improve chromatographic qualitative analysis?

It provides substantially more structural information than retention time alone.

173

What chromatographic features are commonly used for quantitative analysis?

Peak height or peak area.

174

What is the basic calibration-curve procedure?

Run standards of known concentration, construct a response-vs-concentration curve, then run the unknown and interpolate its concentration.

175

Why must standards and unknown be run under the same conditions?

Their instrumental responses must be directly comparable.

176

What variables can complicate calibration-curve analysis?

Beer’s-law linearity, injection volume, dilution, and other experimental factors.

177

What is an internal standard?

A compound of similar structure added at a known concentration to standards and unknowns.

178

Why is an internal standard useful?

Using analyte/internal-standard response ratios helps correct for sample-to-sample injection-volume variation.

179

What quantity is typically compared when using an internal standard?

The ratio of peak areas or peak heights.

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XII. Electrophoresis

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180

What are the two major types of electrophoresis covered?

Gel electrophoresis and capillary electrophoresis.

181

What is the basic principle of gel electrophoresis?

A voltage is applied across a cross-linked polymer gel, causing charged species to migrate.

182

What gels are listed in the lecture?

Agarose and polyacrylamide.

183

Which direction do anions migrate in gel electrophoresis?

Toward the anode.

184

What determines separation in gel electrophoresis?

Charge density/size.

185

What biological samples are specifically mentioned as applications?

DNA and proteins.

186

Why is there a practical limit to voltage in gel electrophoresis?

Increasing voltage causes resistive heating.

187

What replaces the gel in capillary electrophoresis?

A capillary filled with buffer solution.

188

What is the material of the capillary specified in the lecture?

Fused silica.

189

Why can capillary electrophoresis use much higher voltages than gel electrophoresis?

The capillary can tolerate much higher electric fields without melting.

190

What advantage does high voltage provide in CE?

Very efficient separations, with up to roughly 10⁶ theoretical plates.

191

Why do neutral compounds not normally separate by ordinary CE?

They lack electrophoretic mobility.

192

What major detectors can be coupled to CE?

UV/Vis, fluorescence, and MS.

193

What is electrophoretic flow?

Movement caused by the interaction of a charged species with the electric field.

194

Toward which electrode do cations move electrophoretically?

Toward the cathode.

195

Toward which electrode do anions move electrophoretically?

Toward the anode.

196

Why does electro-osmotic flow occur in a silica capillary?

Negatively charged silanol groups attract cations, forming an electrical double layer that drives net buffer flow toward the cathode.

197

In typical CE, which is larger: electro-osmotic or electrophoretic flow?

Electro-osmotic flow is generally larger.

198

How does the combination of electro-osmotic and electrophoretic flow permit separation of anions, cations, and neutrals?

Their net velocities differ because electrophoretic motion adds to or opposes the electro-osmotic flow.

199

Within a given charge class, what primarily determines CE separation?

Charge density.

200

Why can CE have exceptionally high efficiency?

There is no stationary phase, and peak broadening is dominated largely by longitudinal diffusion.