Gujarat Technological UniversitySummer 2025 examination

GTU 3130508 Material & Energy Balance Computation Summer 2025 Question Paper & PDF

B.E. · Chemical Engineering · Semester 3 · Subject code 3130508
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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

In a double effect evaporator, the second effect is maintained under vacuum of 475 torr (mm Hg). Find the absolute pressure in kPa, bar and psi.

(b)
4 marks

The flow rate of water through a pipe is reported as 20 ft³/ min. Convert the volumetric flow rate into the mass flow rate in kg/sec. Density of water is 1 gm/cc.

(c)
7 marks

In the case of fluids, the local heat-transfer coefficient for long tubes and using temperature properties is expressed by the empirical equation h = 0.023 G0.8 × k 0.67 × Cp 0.33 / (D0.2 × μ0.47 ) Where, h = heat transfer coefficient, Btu/(h·ft² ·℉) G = mass velocity of fluid, lb/(ft²· s) Cp = heat capacity of fluid at constant pressure, Btu/(lb℉) k = thermal conductivity, Btu/(h· ft · ℉) D = diameter of tube, ft μ = viscosity of liquid, lb/(ft · s) convert the empirical equation into SI unit.

Q.2

14 Marks
(a)
3 marks

A sample of milliolite limestone, obtained from Porbandar, Gujarat, is found to contain 54.5% CaO (by mass). If this CaO is present as CaCO3 in the limestone, find the content of CaCO3 in the limestone.

(b)
4 marks

Ethanol is present in the aqueous solution to the extent of 1200 mg/l. Find TOC and ThOD of the solution in mg/l.

(c)
7 marks

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

(c)
7 marks

A gas mixture has the following composition by volume. C2H4 30.6% C6H6 24.5% O2 1.3% CH4 15.5% C2H6 25.0% N2 3.1% Find (a) the average molecular weight of the gas mixture,

bthe density of the gas mixture in kg/m³ NTP, (c)the composition by mass

Q.3

14 Marks
(a)
7 marks

A solution of ethyl alcohol containing 8.6% alcohol is fed at the rate of 1000 kg/hr to a continuous distillation column. The product (distillate) is a solution containing 95.5% alcohol. The waste solution from the column carries 0.1% of alcohol. All percentages are by mass. Calculate (a) the mass flow rates of top and bottom products in kg/h and (b) the percentage loss of alcohol.

(b)
7 marks

Define following with suitable examples PFD and P&ID diagram (2) Conversion and Yield

(a)
7 marks

Acetic acid is used as principal solvent extraction and chloroform is used as an auxiliary solvent. A particular oil is first treated with acetic acid. The acetic acid -oil mixture has a composition 63.4% acetic acid and 36.6% oil. The complex is separated into two coexisting liquid phases at room temperature having the composition shown in Table 1 Composition of Acetic Acid-oil Mixture. Composition by mass % Acetic acid oil Complex 63.4 36.6 Upper layer 9.62 90.38 Lower layer 93.03 6.97 To the above complex, chloroform is added. The resultant mixture (a new complex) is separated again in two coexisting liquid phases at room temperature having the composition shown in Table 2. Composition by mass % Acetic acid Chloroform oil Complex 57.8 9.7 Balance Upper layer 24.5 18.93 Balance Lower layer 87.5 3.62 Balance Calculate: (a) The mass ratio of two layer for Table 1 and Table 2. (b) The amount of complex added to the original mixture.

(b)
4 marks

Explain the recycling and bypassing operation with appropriate examples

(c)
3 marks
Describe
1)Stoichiometric Ratio
2)Limiting Reactant
3)Excess Reactant

Q.4

14 Marks
(a)
7 marks

A liquid fuel is found to contain 83% C, 15% H2 and 2% Sulphur. Calculate the net calorific value (NCV) of liquid sample at 298 K. Data: Gross calorific value of fuel at 298 K is 45071 kJ/kg of liq fuel. Latent heat of water vapor at 298K =2442.5 kJ/kg.

(b)
7 marks

The analysis of limestone gives 60% CaCO3, 33.5% MgCO3 and rest inerts. It is treated with 12% aqueous sulphuric acid by mass to obtain pure CO2. An excess of 15% of the acid over the stoichiometric amounts is used to ascertain that the reaction goes to completion. Based on the treatment of 500 kg limestone, calculate: (a) the amount of 100% (by mass) sulphuric acid required, (b) the amount of the residue, (c) the analysis of the residue left in the vessel, and (d) the moles of CO2 produced.

(a)
7 marks

The gaseous reaction A = 2B + C takes place isothermally in a constant pressure reactor. Starting with a mixture of 75% A and 25% inerts (by volume), in a specified time the volume double. Calculate the conversion achieved.

(b)
7 marks

A pilot plant reactor was charged with 50 kg of naphthalene and 200 kg (98% by mass) of H2SO4. The reaction was carried out for 3 hours at 160°C. The reaction goes to near completion. The product distribution was found to be 18.6% monosuphonate naphthalene (MSN) and 81.4% disulphonate naphthalene (DSN). Calculate

i)the quantities of MSN and DSN products, and
ii)the complete analysis of the product.

Q.5

14 Marks
(a)
7 marks

A gas mixture has the following composition on mole basis. CH4:84%, C2H6:13% and N2:3%. Calculate the energy to be added to heat the 15 kmol of gas mixture from 298 K to 523 K using heat capacity data given below. CP0 = a +bT + cT² +dT³ where Cp0 is in kJ/kmol K or J/mol K. Component a b x 10³ c x 10⁶ d x 10⁹ CH4(g) 19.25 52.11 11.97 -11.32 C2H6(g) 5.41 178.19 -67.38 8.72 N2(g) 29.59 -5.41 13.18 -4.97

(b)
7 marks

Calculate the heat of reaction of the following reaction. 4NH3(g) +5O2(g) 4NO(g) +6H2O(g) Data: Component ∆HfOcal/ gmol NH3(g) -11020 NO(g) 21570 H2O(g) -57796

(a)
7 marks

Using Watson equation, calculate laten heat of vaporization of

aacetone at 313K (40°C) (b) carbon disulphide (CS2) at 413 K T1 (Boiling point temp) component Laten heat of vap at T1, K (KJ/kmol) Tc n 329.4 Acetone(C3H6O) 29121 508.1 0.38 319.0 CS2 26736 552.0 0.38
bThe orsat analysis of the flue gases from a boiler house chimney gives CO2 11.2%, O2:4.2% and N2 84.4 % (mole %). Assuming that complete combustion has taken place,(a)calculate the % excess air and(b)find the C: H ratio in the fuel.

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