Gujarat Technological UniversitySummer 2026 examination

GTU BE03005031 Material and Energy Balance Computation Summer 2026 Question Paper & PDF

B.E. · Chemical Engineering · Semester 3 · Subject code BE03005031
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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

Define dimension and mention its significance in engineering calculations. Write dimensional formulas for power and surface tension.

(b)
4 marks
Convert the following:
i120 lb/ft³ into kg/m³ and g/cm³
ii300 K into °C and °F
(c)
7 marks
Phosphoric acid is produced by reacting phosphorus pentoxide (P2O5) with water
under different conditions. When P2O5 is dissolved in cold water, it forms
metaphosphoric acid (HPO3) as per the reaction:
P2O5 + H2O → 2HPO3
When P2O5 is dissolved in hot water, it forms orthophosphoric acid (H3PO4) as per
the reaction:
P2O5 + 3H2O → 2H3PO4
Calculate the yield (in kg) of acid produced from 50 kg of P2O5 for:
iCold water reaction
iiHot water reaction Given: Atomic weights P = 31, O = 16, H =

Q.2

14 Marks
(a)
3 marks
Explain in brief Raoult’s law and Henry’s law.
(b)
4 marks
Convert 5N H3PO4 to g/l.
(c)
7 marks

Natural gas is piped from the well at 300K and 400 kPa. The gas is found to contain 93.0% methane, 4.5% ethane and the rest nitrogen. Calculate the following:

iThe partial pressure of nitrogen
iiThe pure-component volume of ethane in 10 m³ of the gas
iiiThe density at standard conditions in kg/m³
ivThe density of the gas as piped in kg/m³
vThe average molecular weight of the gas
viThe composition in weight percent
(c)
7 marks

Aqueous solution of triethanolmine (TEA), i.e., N(CH2CH2OH)3, contains 50% TEA by mass. Find the molarity of the solution if the density of the solution is 1.05 kg/L.

Q.3

14 Marks
(a)
3 marks
Define terms: Conversion, Yield, and Selectivity.
(b)
4 marks

The carbon monoxide is reacted with hydrogen to produce methanol. Calculate the kmol of CH3OH produced per 50 kgmol of CO reacted.

(c)
7 marks

A distillation column separates 20% Benzene, 50 % Toluene, 30 % Xylene into 95% benzene, 4% Toluene and 1% Xylene and waste product containing 2% Benzene. Calculate the quantities of distillate and residue if 1000 kmol/h of feed is fed.

(a)
3 marks

Compare recycle and bypass operations. Analyze how they improve process efficiency and control in chemical plants.

(b)
4 marks
Calculate the volume occupied by 20 kg of Cl2 gas at a pressure of 100 kPa and 25°C.
(c)
7 marks

A gas mixture containing 15 mole% A and 85 mole% inert is fed to an absorption tower where it is contacted with liquid solvent B which absorbs A. The mole ratio of solvent to gas entering tower is 2:1. The gas leaving the absorber contains 2.5% A,1.5% B and rest inert on mole basis. Calculate:

iThe percentage recovery of solute ‘A’.
iiThe fraction of solvent ‘B’ fed to column lost in gas leaving the tower.

Q.4

14 Marks
(a)
3 marks
List types of process flow diagrams and their role.
(b)
4 marks
With a neat sketch show the material balance for the following unit operations:
iEvaporation
iiCrystallization
(c)
7 marks

One kg of water is heated from 250 K to 400 K at one standard atmosphere pressure. How much heat is required for this? The mean heat capacity of ice between 250 K and 273 K is 2.037 kJ/kg K, the mean heat capacity of water between 273 K and 373 K is 75.726 kJ/kmol K and the heat capacity of water vapour (kJ/kmol K) is Cp = 30.475 + 9.652*10⁻³ T + 1.189*10⁻⁶ T2 where T is in K. The latent heat of fusion and vaporization of water are 6012 kJ/kmol and 40608 kJ/kmol respectively

(a)
3 marks
Compare steady and unsteady state material balance.
(b)
4 marks
With a neat sketch show the material balance for the following unit operations:
iDistillation
iiLiquid Liquid Extraction
(c)
7 marks
A gas mixture analyzing 20% (mol) CO, 30% (mol) H2 and 50% (mol) N2 is
completely burned in air. The following heat of reaction data are available:
CO(g) + O2 (g) → CO2 (g) ΔHor = -282.91 kJ/mol
H2 (g)+ O2 (g) → H2O(g) ΔHor = -241.83 kJ/mol
iDetermine the amount of heat liberated on the complete combustion of 100 mol of the gas mixture.
iiIf only 90% of the CO and 80% of the H2 react, how much heat is liberated on the combustion of 100 mol of the mixture?

Q.5

14 Marks
(a)
3 marks

Compare solid and gaseous fuels in terms of efficiency, storage, and environmental impact.

(b)
4 marks
Explain the following terms used in air–water systems:
iAbsolute humidity
iiRelative humidity
iiiPercentage humidity
ivWet-bulb temperature
(c)
7 marks

Explain ultimate analysis of coal. State Dulong’s formula and Calderwood equation with proper nomenclature.

(a)
3 marks

Explain the effect of excess air on combustion efficiency, flue gas characteristics, and boiler heat losses.

(b)
4 marks
Explain the Watson equation and Riedel equation with their significance.
(c)
7 marks

Differentiate between GCV and NCV. Discuss their importance in fuel evaluation and name suitable instruments for measuring calorific value of solid, liquid, and gaseous fuels.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Material and Energy Balance Computation (Summer 2026, 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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