What is the exam pattern and passing mark for GTU Material and Energy Balance Computation (BE03005031)?

The GTU theory examination carries 70 total marks with a duration of 2.5 Hours. Minimum passing criteria is 23 marks (33%). The paper consists of 5 main questions with official marking breakdown and internal choices.

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Gujarat Technological UniversityWinter 2025 examination

GTU BE03005031 Material and Energy Balance Computation Winter 2025 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 10:30 AM – 1:00 PM
Questions: 5 with internal choice

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Q.1

14 Marks

(a)

3 marks

How many kilograms of carbon disulphide will contain 3.5 kmol carbon?

(b)

4 marks

The flow rate of water through a pipe is reported as

20\text{ ft}^3/\text{min}

. Convert the volumetric flow rate into the mass flow rate in kg/s. Density of water is 1 gm/cc.

(c)

7 marks

A gas mixture has the following composition by volume Determine (a) the average molecular weight of the gas mixture, (b) the density of the gas mixture in $\text{kg/m}^3$ NTP. (c) the composition by mass

$\text{C}_2\text{H}_4$	$\text{C}_6\text{H}_6$	$\text{O}_2$	$\text{CH}_4$	$\text{C}_2\text{H}_6$	$\text{N}_2$
30.60%	24.50%	1.30%	15.50%	25.00%	3.10%

Q.2

14 Marks

(a)

3 marks

A sample of milliolite limestone, obtained from Porbandar, Gujarat, is found to contain 54.5%

\text{CaO}

(by mass). If this

\text{CaO}

is present as

\text{CaCO}_3

in the limestone, find the content of

\text{CaCO}_3

in the limestone.

(b)

4 marks

An aqueous solution of acetic acid of 35% concentration (by mass) has density 1.04kg/L at 298.15. Find the molarity of the solution.

(c)

7 marks

Crystals of

\text{MgCl}_2\cdot 6\text{H}_2\text{O}

have a solubility of 190 g per 100 g ethanol at 25 °C. It is desired to make 1000 kg of saturated solution. Calculate the quantities of crystals and ethanol required to make the above solution. Also determine the composition of the saturated solution by mass.

(c)

7 marks

In a constant pressure reactor where the gas-phase reaction

\text{A} \rightarrow 2\text{B} + \text{C}

occurs, starting with 75% A and 25% inerts, the volume is observed to double. Calculate the conversion of A. Then analyze how the presence of inerts influences the observed volume change, and predict how the conversion would differ if no inerts were present.

Q.3

14 Marks

(a)

3 marks

Explain the steps and reasoning involved in solving material balance problems for systems without chemical reactions

(b)

4 marks

Explain the recycling and bypassing operation with appropriate examples

(c)

7 marks

Selective dehydrogenation of alkanes to alkenes is a well-established process. In this process, dehydrogenation of i-butane is carried out on a platinum impregnated catalyst at 50kPa g and 773 K. The feed to the reactor is pure i-butane along with $0.75\text{kmol } \text{H}_2$ per kmol of i-butane. Hydorgen stream contains 90% $\text{H}_2$ and 10% methane (by mole). Following reactions are known to take place. $\text{i-C}_4\text{H}_{10} \longrightarrow \text{i-C}_4\text{H}_8 + \text{H}_2$ i-butane i-butylene $\text{i-C}_4\text{H}_{10} \longrightarrow \text{C}_3\text{H}_6 + \text{CH}_4$ i-butane propylene Literature reports 50% per pass conversion in a battery of three reactors with 88% yields of i-butylene. Calculate the composition of the product stream leaving the final reactor.

(a)

3 marks

Describe following terms

1Stoichiometric Ratio, (2) Limiting Reactant & (3) Excess Reactant

(b)

4 marks

Explain process flow diagram (PFD) and process block diagram (PBD) for chemical process industries.

(c)

7 marks

A pilot plant reactor was charged with 50 kg of naphthalene (

\text{C}_{10}\text{H}_8

) and 200 kg (98% by mass) of

\text{H}_2\text{SO}_4

. The reaction was carried out for 3 hours at 160°C (433 K). The reaction goes to near completion. The product distribution was found to be 18.6% monosulphonate naphthalene and 81.4% disulphonate naphthalene. Calculate (a) the quantities of monosulphonate (MSN) (

\text{C}_{10}\text{H}_7\text{SO}_3\text{H}

) and disulphonate (DSN) (

\text{C}_{10}\text{H}_6(\text{SO}_3\text{H})_2

) products, and (b) the complete analysis of the product.

Q.4

14 Marks

(a)

3 marks

Define following terms with suitable examples Conversion, Yield and Selectivity.

(b)

4 marks

Liquid Ammonia is stored at 705 kPa a in a tank. It is discharged to an atmospheric storage. Calculate the percentage flash vapours produced letting down the pressure. [Reference state: h = 200 kJ/kg at 0°C (273.15 K)]

Pressure, kPa a	Saturation temperature, °C (K)	Enthalpy, kJ/kg Sensible h	Enthalpy, kJ/kg Total H	Enthalpy, kJ/kg Latent $\lambda$ v
705	14 (287.15)	265.56	1475.1	1209.6
101.3	–33.3 (239.82)	49.1	1418.7	1369.6

(c)

7 marks

Using Watson equation, Calculate latent heat of vaporization of

aacetone at 313K (40°C) (b) carbon disulphide (

\text{CS}_2

) at 413 K

T1 (Boiling point temp) K	component	Latent heat of vap at T1, K (kJ/kmol)	Tc (K)	n
329.4	Acetone(C3H6O)	29121	508.1	0.38
319.0	$\text{CS}_2$	26736	552.0	0.38

(a)

3 marks

In the production of sulfuric acid from anhydrous, gypsum is roasted with clay to obtain sulfur dioxide and cement clinker. The reaction proceeds as follows: $3\text{ CaSO}_4\text{(s)} + \text{SiO}_2\text{(s)} = 3\text{ CaO}\cdot\text{SiO}_2\text{(s)} + 3\text{ SO}_2\text{(g)} + (3/2)\text{ O}_2\text{(g)}$ Calculate the heat of reaction at 25°C (298.15 K).

Component	Phase	$\Delta\text{H}^\circ\text{f at 25}^\circ\text{C (298.15 K) kJ/mol}$
$\text{CaSO}_4$	Solid	–1432.7
$\text{SiO}_2$	Solid (amorphous)	–903.5
$3\text{ CaO}\cdot\text{SiO}_2$	Solid (clinker)	–2879.0
$\text{SO}_2$	Gas	–296.81
$\text{O}_2$	Gas	0.0

(b)

4 marks

Define the following terms

1Dry bulb temperature

2Wet bulb temperature

3Absolute humidity

4Relative humidity

(c)

7 marks

A mixture of isomeric diphenyl-diphenyloxides (Diphyl DT) is used as a thermic fluid in a liquid phase heating system. The thermic fluid enters an indirect fired heater at 180 °C and leaves at 260 °C. The heat capacity of the fluid is given by $\text{C}_\text{l} = 1.436 + 0.00218\text{ T kJ/(kg.K)}$ where T is in K.

aCalculate the supply of heat in the heater per kg of liquid heated (b) if the heat capacity of Diphyl DT at 180 °C and 260 °C are 2.424 and 2.598 kJ/kg. K, respectively, how much error will be involved in the computation of heat load using the mean heat capacity value?

Q.5

14 Marks

(a)

3 marks

Explain following terms Hess’s law, Heat of formation and Heat of Combustion

(b)

4 marks

Discuss Proximate and Ultimate analysis of coal.

(c)

7 marks

Isothermal and isobaric absorption of

\text{SO}_2

is carried out in a packed tower containing Raschig rings. The gases enter the bottom of the tower containing 14.8%

\text{SO}_2

by volume. Water is distributed at the top of the column at the rate of 16.5 L/s. The total volume of the gas handled at 101.3 kPa (760 Torr) and 30°C (303 K) is

1425\text{ m}^3/\text{h}

. The gases leaving the tower are found to contain 1%

\text{SO}_2

by volume on dry basis. Calculate the %

\text{SO}_2

by mass in the outlet water.

(a)

3 marks

Describe How Energy Balance Determines the Heat Requirement for Drying

(b)

4 marks

Describe the meanings of Gross Calorific Value (GCV) and Net Calorific Value (NCV), and explain the principles behind the different methods used to determine them.

(c)

7 marks

The Orsat analysis of the flue gases shows

\text{CO}_2

: 12.4%, CO: 3.1%,

\text{O}_2

: 5.4% and

\text{N}_2

: 79.1% (by volume). All the hydrogen but only 85% of the carbon in the (solid) fuel appears in the flue gases. Calculate the per cent excess air used. Assume that negligible oxygen and nitrogen are present in the fuel.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Material and Energy Balance Computation (Winter 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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