Gujarat Technological UniversitySummer 2024 examination

GTU 3150501 Mass Transfer Operations I Summer 2024 Question Paper & PDF

B.E. · Chemical Engineering · Semester 5 · Subject code 3150501
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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
Explain design principles of mass transfer equipment.
(b)
4 marks

Discuss the effect of temperature and pressure on diffusivity for gases and liquids. For a gaseous system, DAB = 0.202 cm²/s at 25 °C. Determine diffusivity (m²/s) of that system at 40 °C if pressure is halved and other parameters remain constant.

(c)
7 marks

Ethanol vapor is diffusing through a layer of water vapor under equimolar counter diffusion at 35 ºC and 1 atm. pressure. The molal concentration of alcohol on the two sides of the gas film (water vapor) 0.3 mm thick are 80% and 10% respectively. Assuming the diffusivity of alcohol–water vapor to be 0.18 cm²/s,

i)Determine the rate of diffusion of alcohol and water vapor in kg/hr through an area of 100 cm2
ii)if the water vapor layer is stagnant, estimate the rate of diffusion of alcohol vapor.

Q.2

14 Marks
(a)
3 marks
Define: Decoction, Stripping factor, Plait point
(b)
4 marks
Compare and contrast N and J type of flux.
(c)
7 marks

Classify Gas-Liquid equipment in details and compare packed tower with tray tower. Also compare random and regular packings.

(c)
7 marks

Deduce an equation for molar flux for diffusion of component A through non-diffusing component B in case of steady state molecular diffusion for liquid phase as well as gaseous phase.

Q.3

14 Marks
(a)
3 marks

In a wetted wall column, Carbon dioxide is being absorbed from air by water flowing at 2 atm and 25 ºC. The MTC ky’ is to be 6.78*10⁻⁵ kmol/m²s mole fraction. Determine rate of absorption if partial pressure of carbon dioxide at interface is 0.2 atm and the air is pure. Also determine ky and kg.

(b)
4 marks

For a multistage counter-current liquid extraction operation, carry out material balance and explain it.

(c)
7 marks

If 1000 kg/h of a nicotine (C)-water (A) solution containing 1% nicotine is to be counter currently extracted with kerosene at 20°C to reduce the nicotine content to 0.1%, determine (a) the minimum kerosene rate and (b) the number of theoretical stages required if 1150 kg of kerosene is used per hour x (kg nicotine/ kg water) 0 0.001011 0.00246 0.00502 0.00751 0.00998 0.0204 y* (kg nicotine/ kg water) 0 0.000807 0.001961 0.00456 0.00686 0.00913 0.01870

(a)
3 marks
Discuss in detail the pre-treatment as parameter affecting leaching.
(b)
4 marks
Interrelate kG, kC, ky with F type MTC for gaseous phase. Also mention their units.
(c)
7 marks

Pure isopropyl ether of 450 kg/h is being used to extract an aqueous solution of 30 wt % acetic acid by counter-current multistage extraction. Rate of aqueous solution is one third of solvent rate. The exit acid concentration in the aqueous phase is 10 wt %. Calculate the number of stages required. Data on wt % basis is given: Aqueous phase Ether phase Acetic acid water Ether Acetic acid water Ether 0.69 98.1 1.2 0.18 0.5 99.3 1.41 97.1 1.5 0.37 0.7 98.9 2.89 95.5 1.6 0.79 0.8 98.4 6.42 91.7 1.9 1.93 1 97.1 13.3 84.4 2.3 4.82 1.9 93.3 25.5 71.1 3.4 11.4 3.9 84.7 36.7 58.9 4.4 21.6 6.9 71.5 44.3 45.1 10.6 31.1 10.8 58.1 46.3 37.1 16.5 36.2 15.1 48.7

Q.4

14 Marks
(a)
3 marks

Explain the effect of temperature on the ternary diagram for a system of three liquids with one pair partially soluble

(b)
4 marks
Brief about the Shanks system for leaching.
(c)
7 marks

Ammonia is diffusing through an inert air film 2 mm thick at a temperature of 20 ºC and a pressure of 1 atm. The concentration of ammonia is 10% by volume on one side of the film and zero on the other side. Determine the mass flux. Estimate the effect on the rate of diffusion if the pressure is increased to 10 atm. The diffusivity of NH3 in air at 20°C and 1 atm. is 0.185 cm²/s.

(a)
3 marks

Explain selectivity and distribution coefficient. Explain equilateral triangular co- ordinate and the mixture rule.

(b)
4 marks
Brief about the working of Ballman extractor.
(c)
7 marks

Explain Interphase mass transfer in detail. Also derive expression for overall and local mass transfer coefficient.

Q.5

14 Marks
(a)
3 marks
Define: Coning, HETP, Weeping
(b)
4 marks
Define super saturation and discuss Mier’s theory in detail.
(c)
7 marks

An air–NH3 mixture containing 20 mole % of NH3 is being treated with water in a packed tower to recover NH3. The inlet gas rate is 700 kg/hm². The water used is 1.5 times the minimum and enters the tower with 2% of NH3. Under these conditions, 90% of NH3 is absorbed from the feed. Determine Gs, inlet and outlet mole ratio of ammonia in gas stream and liquid stream. Also mention steps in detail to determine number stages graphically for a counter current absorber.

(a)
3 marks
Write a brief note on steps of crystallization.
(b)
4 marks

A solution of sodium carbonate available at a temperature of 40°C with a solute content of 30%. Calculate the weight of Na2CO3* 10H2O crystal formed if 2000 kg of this solution is cooled to 10°C. Also determine the yield. Data: Solubility at 10°C = 12.5 gm of Na2CO3/100 gm of water

(c)
7 marks

Compare absorption and stripping. For absorption, discuss Minimum L/G. Also mention step to find Lmin/G using proper diagram.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Mass Transfer Operations I (Summer 2024, B.E. · Chemical Engineering, Sem 5). 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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