Gujarat Technological UniversitySummer 2026 examination

GTU BE04005041 Chemical Engineering Thermodynamics - II Summer 2026 Question Paper & PDF

B.E. · Chemical Engineering · Semester 4 · Subject code BE04005041
Download official PDFView PDF here
Share with your class
Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 10:30 AM – 1:00 PM
Questions
5 with internal choice
No solutions on this paper yetNeed them for your exam? Ask once. Papers that students ask for are solved first, and we aim to add them within 24 hours.

Q.1

14 Marks
(a)
3 marks
State and explain Duhemn Theorem
(b)
4 marks
Define azeotrope and explain maximum and minimum boiling azeotrope with a neat diagram.
(c)
7 marks

Mixtures of n-Heptane (A) and n-Octane (B) are expected to behave as an ideal solution. The total pressure over the system is 101.3 kPa Using vapor pressure data given below Construct T-x,y diagram.

T,K371.4378383388393398.6
PA\text{P}_\text{A} ,kPa101.3125.3140.0160.0179.9205.3
PB\text{P}_\text{B}, kPa44.455.664.574.886.6101.3

Q.2

14 Marks
(a)
3 marks
Define fugacity, fugacity co efficient, and activity
(b)
4 marks
Derive the equation for determination of fugacity of pure gases using any two methods.
(c)
7 marks

In the laboratory of mass transfer, will it be possible to prepare 0.12m30.12\text{m}^3 of alcohol-water solution by mixing 0.04m30.04\text{m}^3 alcohol with 0.08m30.08\text{m}^3 pure water? If not possible, Assess the volume which should have been mixed in order to prepare a mixture of the same strength and of the required volume? Density of ethanol and water are 789kg/m3789\text{kg/m}^3 and 997kg/m3997\text{kg/m}^3 respectively. Data: The partial molar volumes of ethanol and water at the desired compositions are: Ethanol=53.6∗10−6m3/mol\text{Ethanol} = 53.6*10^{-6}\text{m}^3\text{/mol}; Water=18∗10−6m3/mol\text{Water} = 18*10^{-6}\text{m}^3\text{/mol}.

(c)
7 marks

Assuming Raoult’s law to be valid for the system Benzene (1)–Ethyl benzene (2) and the vapour pressures are given by the Antoine equation:

ln⁡Pi sat=[A−(BT+C)], where P is in kPa and T is in K.\ln \text{P}_\text{i}^{\text{ sat}} = \left[ \text{A} - \left( \dfrac{\text{B}}{\text{T}+\text{C}} \right) \right]\text{, where P is in kPa and T is in K.}
Construct the T-x-y diagram at 101.33 kPa.

Species, iABC
113.88582788.51-52.41
214.00453279.47-60.00

Q.3

14 Marks
(a)
3 marks
What is partial molar property? Discuss the physical significance and importance of partial molar property.
(b)
4 marks
Write a brief note on Ideal solutions
(c)
7 marks
Estimate the fugacity of iso-butane at 15 atm. and 87∘C87^\circ\text{C} using the compressibility factor correlation Z= 1+ (BP/RT), given that the second virial coefficient B=−4.28∗10−4 m3/mol\text{B} = - 4.28 *10^{-4}\text{ m}^3\text{/mol}
(a)
3 marks
What is retrograde condensation and write its application in chemical industry.
(b)
4 marks
Write steps to determine Bubble point temperature using Raoult’s Law.
(c)
7 marks
The azeotrope of the Ethanol-benzene system has a composition of 44.8 mole percent ethanol with a boiling point of 68.2∘C68.2^\circ\text{C} at 760 mmHg. At 68.2∘C68.2^\circ\text{C}, the vapor pressure of pure benzene is 517 mmHg and that of ethanol is 506 mmHg. Calculate the Margules constants for the system and determine the activity coefficients for a solution containing 20 mole percent ethanol

Q.4

14 Marks
(a)
3 marks
State applications and limitations of Wilson and NRTL equation.
(b)
4 marks
Explain Liquid-Liquid Equilibrium with suitable example.
(c)
7 marks

Assuming the validity of Raoult’s law, Compute for the system of Benzene (1), and Toluene (2) Given y1=0.40\text{y}_1 = 0.40 and t=80∘C\text{t}= 80^\circ\text{C}, find x1\text{x}_1, x2\text{x}_2 and P. Data: At=80∘C\text{At}= 80^\circ\text{C} , P1sat=101.05 kPa\text{P}_1\text{sat} =101.05\text{ kPa} P2sat=38.83kPa\text{P}_2\text{sat} =38.83\text{kPa}.

(a)
3 marks
Define equilibrium constant K of a chemical reaction. How is it related to Kf\text{K}_\text{f} and Kp\text{K}_\text{p}?
(b)
4 marks
Explain any one method for checking the consistency of experimental VLE data.
(c)
7 marks

Using the fundamental properties relation for single phase reaction, show that

ΔG0=−RT ln⁡K\Delta \text{G}^0 = - \text{RT } \ln \text{K}

Q.5

14 Marks
(a)
3 marks
Describe phase rule for reacting systems
(b)
4 marks
What is the effect of temperature on equilibrium constant? Using Van’t Hoff equation predict the effect of increasing temperature on endothermic and exothermic reactions.
(c)
7 marks
Consider a system in which the following reactions occur:
CH4+H2O→CO+3H2…………(1)\text{CH}_4+ \text{H}_2\text{O} \to \text{CO}+3\text{H}_2 \dots\dots\dots\dots (1)
CH4+2H2O→CO2+4H2……(2)\text{CH}_4 + 2\text{H}_2\text{O} \to \text{CO}_2 +4\text{H}_2 \dots\dots (2)
If 2mol CH42\text{mol CH}_4 and 3mol H2O3\text{mol H}_2\text{O} are initially present, Compute the mole fraction of the product gases for ε1=0.5\varepsilon_1= 0.5 and ε2=0.5\varepsilon_2=0.5
(a)
3 marks
What do you mean by the ‘extent of reaction’? How is it related to the mole fraction of the species in the reaction mixture?
(b)
4 marks
The water–gas shift reaction takes place at 373K373\text{K},
CO+H2O→CO2+H2\text{CO} + \text{H}_2\text{O} \to \text{CO}_2 +\text{H}_2
The equilibrium constant KP\text{K}_P for this reaction at 537K=9.8×10−4537\text{K} = 9.8 \times 10^{-4}. The heats of formation at 298K298\text{K} are: CO=−110,525J/mol\text{CO} = -110{,}525\text{J/mol}, CO2=−393,509 J/mol\text{CO}_2 = -393{,}509\text{ J/mol}, H2O=−241,818 J/mol\text{H}_2\text{O}= -241{,}818\text{ J/mol}. Calculate the equilibrium constant at 1000 K1000\text{ K}.
(c)
7 marks
The water-gas-shift reaction is carried out under the different sets of conditions described below. Calculate the fraction of steam reacted in each case. Assume the mixture behaving as an ideal gas.
CO(g)+H2O(g)→CO2(g)+H2(g)\text{CO}_{(\text{g})} +\text{H}_2\text{O}_{(\text{g})} \to \text{CO}_{2(\text{g})} + \text{H}_{2(\text{g})}
iThe reactants consist of 1mol1\text{mol} of water vapour and 1mol1\text{mol} of carbon monoxide. The equilibrium constant K=1\text{K}= 1 for the reaction at temperature of 1100 K1100\text{ K} and the pressure of 1 bar.
iiSame as (i) except that 4 mol of N24\text{ mol of N}_2 is included in the reactants.

Preparing with friends?

Send this paper to your class group. Every question has its own link.

About this paper

Official Gujarat Technological University (GTU) examination paper for Chemical Engineering Thermodynamics - II (Summer 2026, B.E. · Chemical Engineering, Sem 4). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

ViewDownload PDF