Gujarat Technological UniversitySummer 2025 examination

GTU 3130507 Chemical Engineering Thermodynamics I Summer 2025 Question Paper & PDF

B.E. · Chemical Engineering · Semester 3 · Subject code 3130507
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 2:30 PM – 5:00 PM
Questions
5 with internal choice
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Q.1

14 Marks
(a)
3 marks
Briefly explain third law of thermodynamics
(b)
4 marks
Write a short on Hess’s law of constant heat summation.
(c)
7 marks

Derive e q u a t i o n f o r the first law of thermodynamics for steady state flow process

Q.2

14 Marks
(a)
3 marks
Discuss Redlich – Kwong – Soave equation of state.
(b)
4 marks
Discuss different statements of second law of thermodynamics.
(c)
7 marks

Air has volume of 0.02271 m³/mol at 0℃ and 1 bar. The initial conditions of air are 1 bar and 25 ℃.It is compressed to 5 bar and 25 ℃ by cooling at constant pressure followed by heating at constant volume. Calculate Q, W, ΔU and ΔH. Assume that air is an ideal gas. Cv =5/2×R and Cp = 7/2×R. Take R = 8.314 J/mol K.

(c)
7 marks

Reported values for the Virial coefficients of Isopropanol vapor at 200 ℃ are B= − 388 cm3/mol C= − 26000 cm6/mol².Calculate V and Z at 200 ℃ and 10 bar using

i)the ideal gas equation
ii)Truncated form of Virial equation.

Q.3

14 Marks
(a)
3 marks
Define: (a) Closed system (b) Triple Point (c) Path function
(b)
4 marks
Explain in brief: Clausius inequality
(c)
7 marks

A steel casting of mass 10 kg at 800 ℃ is quenched in 100 kg water at 30℃ In an insulated container. The heat capacities of steel and water are 0.461 kJ/kg K and 4.23 kJ/kg K respectively. Calculate change in entropy of steel and water.

(a)
3 marks
Discuss briefly limitations of first law of thermodynamics.
(b)
4 marks
Draw a neat sketch of The Principle of Absorption Refrigeration.
(c)
7 marks

Calculate the theoretical flame temperature for CO when burned with 100% excess air when both the reactants are at 373 K. The heat capacities (J/mol K) may be assumed constants i.e. 29.23, 34.83, 33.03, 53.59 for CO, O2, N2 and CO2 respectively. The standard heat of combustion at 298 K is – 283.178 kJ/mol CO.

Q.4

14 Marks
(a)
3 marks
Explain concept of entropy in brief.
(b)
4 marks

Using Maxwell equations prove that 𝑑𝑆 = 𝐶𝑣 𝑇 𝑑𝑇 − (𝜕𝑉 𝜕𝑇)𝑃 (𝜕𝑉 𝜕𝑃)𝑇 𝑑𝑉.

(c)
7 marks

It is required to freeze 1 kg of water at 273 K using refrigeration machine which operates in the surroundings at 300 K. The latent heat of fusion of ice is 334.11 kJ/kg at 273 K. Determine

i)minimum amount of work required
ii)The heat given up to the surroundings.
(a)
3 marks
Discuss T-H diagram briefly.
(b)
4 marks

Mercury has a density of 13.69  10³ kg/m³ in the liquid state and 14.193  10³ kg/m³ in the solid state, both measured at the melting point of 234.33 K at 1 bar. If the heat of fusion of mercury is 9.7876 kJ/kg, what is the melting point of mercury at 10 bar?

(c)
7 marks

For flow through nozzle prove that 𝑑𝐴 𝑑𝑢 = 𝐴 𝑢(M2-1)

Q.5

14 Marks
(a)
3 marks
Explain throttling process.
(b)
4 marks
Write short note on multistage compression.
(c)
7 marks
For an Ideal gas undergoing an adiabatic process Prove that 𝑃𝑉𝛾 = 𝑐𝑜𝑛𝑠𝑡
(a)
3 marks
Discuss Gibb’s Phase Rule.
(b)
4 marks
Discuss Carnot Principle with the help of P-V diagram.
(c)
7 marks
Discuss PVT behavior of pure fluids.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Chemical Engineering Thermodynamics I (Summer 2025, B.E. · Chemical Engineering, Sem 3). 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.

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