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Chemical Engineering Thermodynamics II Assignment Help & Online Tutoring

Advanced chemical engineering thermodynamics covering solution thermodynamics, phase equilibria, fugacity, activity coefficients, chemical reaction equilibria, and thermodynamic analysis of multicomponent systems. Matched to a verified specialist who knows your course, your university's marking criteria, and your deadline.

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Online Chemical Engineering Thermodynamics II tutoring

FLN offers one-to-one online Chemical Engineering Thermodynamics II tutoring with verified subject specialists. Sessions focus on calculations, design problems and the theory behind them, including Phase Equilibria, Vapor-Liquid Equilibrium, Fugacity and Activity Coefficients, using your own course material, so you understand the subject and can apply it yourself.

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What is Chemical Engineering Thermodynamics II?

Chemical Engineering Thermodynamics II applies thermodynamics to mixtures and equilibrium, the basis of separation and reactor design. It covers solution thermodynamics (partial molar properties, chemical potential, fugacity and activity), phase equilibria such as vapour–liquid equilibrium (VLE) with Raoult's law and activity-coefficient models, liquid–liquid equilibrium, and chemical reaction equilibria with equilibrium constants and conversion.

In short: chemical engineering thermodynamics II help from FLN Tutors (Freelancer Network) means a chemical engineering tutor works through derivations and numericals with you, from fugacity and activity coefficients to bubble-point and reaction-equilibrium calculations, so you can solve problems yourself.

Key equations at a glance

TopicEquationNotes
Raoult's lawyᵢP = xᵢPᵢˢᵃᵗIdeal liquid and ideal gas
Modified Raoult's lawyᵢP = xᵢγᵢPᵢˢᵃᵗγᵢ = activity coefficient
Henry's lawyᵢP = xᵢHᵢDilute, supercritical solutes
Antoine equationln Pˢᵃᵗ = A − B ÷ (T + C)Check units of the constants
Fugacity coefficientφᵢ = fᵢ ÷ (yᵢP)φ = 1 for an ideal gas
Gibbs–Duhem (binary, constant T, P)x₁ d ln γ₁ + x₂ d ln γ₂ = 0Checks consistency of data
Margules (two-suffix)ln γ₁ = A x₂², ln γ₂ = A x₁²Symmetric systems
Relative volatilityα₁₂ = (y₁/x₁) ÷ (y₂/x₂)For distillation design
Reaction equilibriumΔG° = −RT ln KLinks ΔG° to K
Van 't Hoffd ln K ÷ dT = ΔH° ÷ (RT²)Effect of temperature on K

Worked example: bubble-point pressure and vapour composition

A liquid mixture of 40 mol% benzene (1) and 60 mol% toluene (2) is at 90 °C, where P₁ˢᵃᵗ = 136.1 kPa and P₂ˢᵃᵗ = 54.2 kPa. Assume Raoult's law.

  1. Bubble-point pressure P = x₁P₁ˢᵃᵗ + x₂P₂ˢᵃᵗ = 0.4 × 136.1 + 0.6 × 54.2 = 54.44 + 32.52 = 86.96 kPa
  2. Vapour composition y₁ = x₁P₁ˢᵃᵗ ÷ P = 54.44 ÷ 86.96 = 0.626, so y₂ = 0.374
  3. Relative volatility α = 136.1 ÷ 54.2 = 2.51

The vapour is richer in benzene, the more volatile component, which is the basis of distillation. For a dew-point calculation, use 1 ÷ P = Σ(yᵢ ÷ Pᵢˢᵃᵗ) instead.

Worked example: non-ideal VLE with the Margules equation

For a binary system at T with Margules parameter A = 0.8, find the activity coefficients at x₁ = 0.3.

  1. ln γ₁ = A x₂² = 0.8 × 0.7² = 0.392, so γ₁ = 1.480
  2. ln γ₂ = A x₁² = 0.8 × 0.3² = 0.072, so γ₂ = 1.075

If P₁ˢᵃᵗ = 80 kPa and P₂ˢᵃᵗ = 40 kPa:

  1. P = x₁γ₁P₁ˢᵃᵗ + x₂γ₂P₂ˢᵃᵗ = 0.3 × 1.480 × 80 + 0.7 × 1.075 × 40 = 35.52 + 30.10 = 65.62 kPa
  2. y₁ = 35.52 ÷ 65.62 = 0.541

Because γ > 1, the system shows positive deviation from Raoult's law; Raoult's law alone would give only 52 kPa. Large positive deviations can produce a minimum-boiling azeotrope.

Worked example: reaction equilibrium constant and conversion

For a gas-phase reaction A ⇌ B at 500 K, ΔG° = −5,000 J/mol.

  1. ln K = −ΔG° ÷ (RT) = 5,000 ÷ (8.314 × 500) = 1.203, so K = 3.33
  2. Starting with 1 mol of A and with equal moles on both sides, pressure does not affect K for an ideal gas: K = ε ÷ (1 − ε)
  3. ε = K ÷ (1 + K) = 3.33 ÷ 4.33 = 0.769, so about 77% conversion at equilibrium

If the reaction were exothermic, the van 't Hoff equation shows K would fall at higher temperature, reducing equilibrium conversion.

How do you solve phase equilibrium problems step by step?

  1. Identify the type: bubble P, dew P, bubble T, dew T or flash.
  2. Decide whether the system is ideal (Raoult) or needs activity coefficients, or whether the vapour phase needs fugacity coefficients at high pressure.
  3. Get saturation pressures from the Antoine equation, checking whether constants use kPa or mmHg and °C or K.
  4. For temperature calculations, iterate: guess T, compute Σ, adjust until the sum equals one.
  5. Check that mole fractions in each phase add up to one.
  6. Interpret the result: volatility, azeotropes or effect on separation.

Where do students lose marks in Thermodynamics II?

Common mistakeWhat to do instead
Wrong units in the Antoine equationCheck the unit basis of A, B and C
Using Raoult's law for non-ideal mixturesInclude activity coefficients
Not iterating bubble-T and dew-T problemsIterate until Σyᵢ or Σxᵢ equals one
Confusing fugacity and activityFugacity has pressure units; activity is dimensionless
Wrong sign in ΔG° = −RT ln KNegative ΔG° gives K greater than one
Forgetting the standard stateState the standard state used for K and γ

Chemical Engineering Thermodynamics II in courses

This subject is a core paper in B.Tech/B.E. chemical engineering (often called CET-II or Chemical Engineering Thermodynamics II), and a key part of GATE Chemical Engineering. US and UK courses cover the same ideas in chemical engineering thermodynamics or phase and chemical equilibria modules, often using Smith, Van Ness and Abbott. A tutor matches your syllabus, textbook and notation.

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Chemical Engineering Thermodynamics II tutoring: frequently asked questions

What topics are in Chemical Engineering Thermodynamics II?

Chemical Engineering Thermodynamics II usually covers solution thermodynamics, partial molar properties, chemical potential, fugacity and activity coefficients, vapour–liquid and liquid–liquid equilibrium, activity-coefficient models such as Margules, Van Laar and Wilson, and chemical reaction equilibria, including equilibrium constants, the effect of temperature and equilibrium conversion.

What is fugacity?

Fugacity is a corrected pressure that describes the escaping tendency of a component in a real system. For an ideal gas it equals the partial pressure. In real systems, the fugacity coefficient corrects for non-ideality. At phase equilibrium, the fugacity of each component is equal in every phase, which is the basis of phase equilibrium calculations.

What is an activity coefficient?

An activity coefficient measures how far a component in a liquid mixture departs from ideal-solution behaviour. A value of one means ideal behaviour, a value above one means positive deviation, where molecules repel each other more than in the pure liquids, and a value below one means negative deviation. It appears in the modified Raoult's law.

What is Raoult's law?

Raoult's law states that the partial pressure of a component above an ideal liquid mixture equals its liquid mole fraction multiplied by its saturation pressure. Combined with Dalton's law, it gives yᵢP = xᵢPᵢˢᵃᵗ. It works well for similar molecules, such as benzene and toluene, at low pressure.

What is the difference between Raoult's law and Henry's law?

Raoult's law applies to a component present at high concentration, or to mixtures of similar substances, and uses the pure component's saturation pressure. Henry's law applies to a dilute solute, such as a gas dissolved in a liquid, and uses Henry's constant instead. In a dilute binary solution, the solvent follows Raoult's law and the solute follows Henry's law.

How do you calculate bubble-point pressure?

For a liquid of known composition at a given temperature, bubble-point pressure is the sum of each component's mole fraction multiplied by its saturation pressure, including activity coefficients if the mixture is non-ideal. Vapour mole fractions then follow from each component's contribution divided by the total pressure.

What is the difference between bubble point and dew point?

The bubble point is the temperature or pressure at which the first bubble of vapour forms from a liquid. The dew point is the temperature or pressure at which the first drop of liquid forms from a vapour. Between them, a mixture exists as two phases, which is the region used in flash calculations.

What is an azeotrope?

An azeotrope is a mixture whose vapour and liquid have the same composition at equilibrium, so it cannot be separated further by simple distillation. Positive deviations from Raoult's law can give minimum-boiling azeotropes, such as ethanol and water, while negative deviations can give maximum-boiling azeotropes.

What is the Gibbs–Duhem equation used for?

The Gibbs–Duhem equation relates changes in the partial molar properties of components in a mixture at constant temperature and pressure. In phase equilibrium it is used to check the thermodynamic consistency of activity-coefficient data and to calculate one component's activity coefficient from the other's in a binary system.

What is the Margules equation?

The Margules equation is an activity-coefficient model that expresses ln γ as a function of composition. The two-suffix form, ln γ₁ = A x₂² and ln γ₂ = A x₁², suits simple, symmetric systems. The three-suffix form uses two parameters for asymmetric systems. Parameters are fitted from experimental VLE data.

How does temperature affect the equilibrium constant?

The van 't Hoff equation shows that the natural log of the equilibrium constant changes with temperature in proportion to the standard enthalpy of reaction. For exothermic reactions, K falls as temperature rises, reducing equilibrium conversion. For endothermic reactions, K rises with temperature, so higher temperatures favour products.

What is relative volatility?

Relative volatility compares how easily two components vaporise. It equals the ratio of their K-values, or y over x for each. For an ideal mixture it equals the ratio of saturation pressures. A value well above one makes separation by distillation easy, while a value near one makes it difficult and needs many stages.

Is Chemical Engineering Thermodynamics II important for GATE?

Yes. Thermodynamics is a regular part of GATE Chemical Engineering, and questions often come from VLE calculations, fugacity, activity coefficients, partial molar properties and reaction equilibria. Practising numericals with careful units and iteration, rather than memorising formulas alone, gives the best results.

Can a tutor help with Chemical Engineering Thermodynamics II?

Yes. A chemical engineering tutor explains the derivations behind each equation, works through VLE, activity-coefficient and reaction-equilibrium numericals with you, and shows how to set up iterative calculations in Excel or Python. You solve the problems yourself, so you can handle university exams and GATE independently.

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