Residence Time Distribution (RTD)

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Questions and Answers

Which of the following best describes the principle of polarography?

  • Analyzing the diffraction pattern of X-rays passing through a crystalline substance.
  • Measuring the optical rotation of chiral substances.
  • Measuring the current produced by an electrochemical reaction as the applied voltage is varied. (correct)
  • Measuring the change in electrical potential across an electrochemical cell under equilibrium conditions.

What is the purpose of masking reagents in complexometric titrations?

  • To catalyze the complex formation reaction.
  • To enhance the color change at the endpoint.
  • To prevent interfering ions from reacting with the titrant. (correct)
  • To increase the pH of the solution.

In the context of redox titrations, what is the role of an indicator?

  • To react selectively with interfering ions.
  • To increase the rate of the redox reaction.
  • To signal the endpoint of the titration through a color change. (correct)
  • To maintain a constant pH.

What is the key principle behind the limit test for chloride?

<p>Comparison of the turbidity produced by chloride with a standard turbidity. (A)</p> Signup and view all the answers

Why is the standard hydrogen electrode (SHE) used as a reference electrode?

<p>It provides a stable and reproducible potential, defined as zero at all temperatures. (D)</p> Signup and view all the answers

Which of the following is a critical step in gravimetric analysis to ensure accurate results?

<p>Complete precipitation of the analyte from the solution. (C)</p> Signup and view all the answers

What is the primary purpose of neutralization curves?

<p>To determine the endpoint of a titration and the strength of an acid or base. (A)</p> Signup and view all the answers

Which of the following is a suitable solvent for non-aqueous titrations and why?

<p>Acetic acid, because it can enhance the acidic properties of the analyte. (B)</p> Signup and view all the answers

In iodometry, what is the role of starch as an indicator?

<p>To react with iodine to form a blue-colored complex, indicating the endpoint. (A)</p> Signup and view all the answers

What is the function of Volhard's method in titrimetric analysis?

<p>Indirect titration of anions, such as chloride, using excess silver nitrate and back-titrating with thiocyanate. (D)</p> Signup and view all the answers

What is the key difference between masking and damasking reagents in complexometric titrations?

<p>Masking reagents prevent interfering ions from reacting, while damasking reagents release the metal ion from the complex at a specific pH. (B)</p> Signup and view all the answers

What is the significance of diazotization in the context of analytical chemistry?

<p>It is a method for synthesizing azo dyes, often used in spectrophotometric analysis. (A)</p> Signup and view all the answers

In potentiometric titrations, what is being measured to determine the endpoint?

<p>The change in electrical potential between two electrodes. (D)</p> Signup and view all the answers

What is a key consideration when preparing a 1 Molar oxalic acid solution?

<p>Oxalic acid is hygroscopic and its purity should be confirmed before use. (D)</p> Signup and view all the answers

What role does Mohr's method play in chemical analysis?

<p>Titration of chloride ions with silver nitrate using chromate as an indicator. (B)</p> Signup and view all the answers

Which type of error CANNOT be minimized by performing repeated measurements and averaging the results?

<p>Determinate Errors (C)</p> Signup and view all the answers

How is calcium gluconate typically estimated in pharmaceutical analysis?

<p>By complexometric titration using EDTA. (B)</p> Signup and view all the answers

In the context of impurity testing in medicinal agents, what does the term 'source of impurities' primarily refer to?

<p>The origin and nature of substances that are not the desired medicinal agent. (A)</p> Signup and view all the answers

Consider a solution containing multiple components. How is the mole fraction of a specific component 'A' calculated?

<p>By dividing the number of moles of component A by the total number of moles in the solution. (D)</p> Signup and view all the answers

Which type of acid-base titration is most appropriate for determining the concentration of a weak acid?

<p>Titration with a strong base. (C)</p> Signup and view all the answers

Flashcards

Define mole fraction

Mole fraction is the ratio of the number of moles of a component to the total number of moles of all components in a mixture.

Define diazotization

Diazotization is a chemical process where primary aromatic amines react with nitrous acid to form diazonium salts.

Define iodometry

Iodometry is a volumetric analysis technique that involves the titration of iodine, either directly or indirectly, to determine the concentration of an analyte.

Principle of polarography

Polarography is a voltammetric method where the current is measured as a function of the potential applied to a small working electrode. It's used for quantitative analysis.

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Principle of Volhard's method

Volhard's method is a type of titration where silver ions are titrated with thiocyanate ions in the presence of a ferric ion indicator.

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Neutralization curves

Neutralization curves are graphs that plot the pH of a solution as a function of the volume of acid or base added during a titration.

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Gravimetric analysis principle

Gravimetric analysis involves isolating and weighing an element or a specific compound in a pure form, then relating its mass to the mass of the original material to determine the quantity of the analyte.

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Acid-base titration types

Acid-base titrations can be classified based on the strength of the acid and base involved: strong acid-strong base, weak acid-strong base, strong acid-weak base, weak acid-weak base.

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Source of impurities in medicinal agents

In medicinal agents, impurities can arise from raw materials, manufacturing processes, degradation during storage, or contamination.

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Describe Mohr's Method

Mohr's method is a precipitation titration method used to determine the chloride ion concentration using silver nitrate as the titrant and chromate ions as an indicator.

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Masking and damasking reagents

Masking reagents prevent certain ions from interfering in a complexometric titration, while damasking reagents release the masked ion at the appropriate time during the titration.

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Redox Titration Principle

Redox titration involves the transfer of electrons between the titrant and analyte. For example, potassium permanganate can be used to titrate ferrous ions.

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Endpoint of potentiometric titration

Potentiometric titration involves measuring the potential difference between two electrodes as a function of titrant volume to determine the endpoint.

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Reference (Standard Hydrogen) electrode

A reference electrode, like the standard hydrogen electrode (SHE), provides a stable and known potential against which the potential of the working electrode is measured.

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Study Notes

  • Residence Time Distribution (RTD) is a probability density function illustrating the time different fluid fractions spend inside a reactor, characterizing the reactor vessel.
  • RTD is independent of any reactions occurring.

How to Measure RTD

  • Inert tracer is introduced into the reactor at t = 0.
  • Tracer concentration in the effluent stream, C(t), is measured over time.
  • Pulse and Step inputs are two tracer experiment types.

Pulse Input

  • Involves injecting Nâ‚€ moles of tracer in one shot at t = 0.
  • Effluent concentration C(t) is recorded.
  • RTD, E(t) is defined as E(t) = C(t) / (∫₀^∞ C(t) dt) = C(t) / (Nâ‚€ / v) = (vC(t)) / Nâ‚€, where v equals volumetric flow rate.
  • E(t)dt represents the effluent fraction dwelling in the reactor between times t and t + dt.

Step Input

  • Tracer is injected at a constant rate beginning at t = 0.
  • Effluent concentration C(t) is recorded.
  • RTD, F(t), is defined as F(t) = C(t) / Cmax, where Cmax is the peak effluent tracer concentration.
  • F(t) is the cumulative distribution function (CDF) describing residence times.

Properties of the RTD

Normalization

  • ∫₀^∞ E(t) dt = 1, which represents the area under the RTD curve.
  • lim(t→∞) F(t) = 1, meaning the area under the F curve goes to 1.

Mean Residence Time

  • Defined as t_m = ∫₀^∞ t E(t) dt.
  • For a closed vessel, t_m = Ï„ = V/v where V is the volume and v is the volumetric flow rate.

Variance

  • Defined as σ² = ∫₀^∞ (t - t_m)² E(t) dt, measuring spread of distribution around the mean.
  • Standard deviation (σ) is the square root of the variance.

Relationship Between E(t) and F(t)

  • E(t) equals dF(t)/dt, meaning RTD is the derivative of the cumulative distribution function.
  • F(t) equals ∫₀^t E(t) dt, meaning the distribution function is the integral of RTD.

RTD in Ideal Reactors

PFR

  • All molecules spend same amount of time θ in the reactor.
  • The RTD is E(t) = δ(t - θ).
  • Mean residence time is t_m = θ = V/v.
  • Variance is σ² = 0.

CSTR

  • Molecules dwell in the reactor for varying lengths of time.
  • The RTD is E(t) = (1/θ)e^(-t/θ).
  • Mean residence time is t_m = θ = V/v.
  • Variance is σ² = θ².

Diagnosing Reactor Problems with RTD

  • RTD shape informs about flow patterns inside the reactor.
  • Deviations from RTD can indicate dead volume, bypassing, channeling or poor mixing.

Models for Non-Ideal Reactors

  • Segregation, Compartment, and Dispersion models are used.

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