Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 3rd Sem New 3133606 Fundamentals Of Material And Energy Balance Calculations Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3133606 Date: 26/11/2019
Subject Name: Fundamentals of Material & Energy Balance Calculations
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Marks
Q.1 (a) Discuss Proximate and Ultimate analysis of coal. 03
(b) Give Classification of material balance problems and explain it briefly. 04
(c) A natural gas has the following composition on mole basis: CH4= 84%,
C2H4=13% and N2= 3%
Calculate the heat added to heat 10 kmol of natural gas from 298 K to 523
K using heat capacity dat given below:
Cp= a + bT+ cT
2
+dT
3
kJ/(kmol.K)
Gas a b?10
3
c?10
6
d?10
9
CH4 19.2494 52.1135 11.973 -11.3173
C2H6 5.4129 178.0872 -67.3749 8.7147
N2 29.5909 -5.141 13.1829 -4.968
07
Q.2 (a) A gas containing 25 % CO, 5% CO2, 2% O2 and the rest is N2 is burnt with
20% excess air. If the conversion is 80% complete, calculate the
composition by volume of the flue gases considering the given
compositions of gas to be on mole basis.
03
(b) Limestone mixed with coke is being burnt in a kiln. An average analysis of
the limestone is CaCO3= 84.5%, MgCO3= 11.5 % and the rest is inerts. The
coke contains 76% carbon 21% ash and 3% moisture. The calcination of
CaCO3 is only 95 % complete and that of MgCO3 is 90%. The carbon in
the coke is completely burnt to CO2. The kiln is fed with one kg of coke
per 5 kg of limestone. Calculate the weight percent of CaO in the product
leaving the kiln. Assume that the moisture in the feed is completely
vaporized.
04
(c) Pure methane is heated from 303.15K to 523.15 K at atmospheric pressure.
Calculate the heat added per kmol methane, using date given below:
a b?10
3
c?10
6
d?10
9
19.2494 52.1135 11.973 -11.3173
07
OR
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3133606 Date: 26/11/2019
Subject Name: Fundamentals of Material & Energy Balance Calculations
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Marks
Q.1 (a) Discuss Proximate and Ultimate analysis of coal. 03
(b) Give Classification of material balance problems and explain it briefly. 04
(c) A natural gas has the following composition on mole basis: CH4= 84%,
C2H4=13% and N2= 3%
Calculate the heat added to heat 10 kmol of natural gas from 298 K to 523
K using heat capacity dat given below:
Cp= a + bT+ cT
2
+dT
3
kJ/(kmol.K)
Gas a b?10
3
c?10
6
d?10
9
CH4 19.2494 52.1135 11.973 -11.3173
C2H6 5.4129 178.0872 -67.3749 8.7147
N2 29.5909 -5.141 13.1829 -4.968
07
Q.2 (a) A gas containing 25 % CO, 5% CO2, 2% O2 and the rest is N2 is burnt with
20% excess air. If the conversion is 80% complete, calculate the
composition by volume of the flue gases considering the given
compositions of gas to be on mole basis.
03
(b) Limestone mixed with coke is being burnt in a kiln. An average analysis of
the limestone is CaCO3= 84.5%, MgCO3= 11.5 % and the rest is inerts. The
coke contains 76% carbon 21% ash and 3% moisture. The calcination of
CaCO3 is only 95 % complete and that of MgCO3 is 90%. The carbon in
the coke is completely burnt to CO2. The kiln is fed with one kg of coke
per 5 kg of limestone. Calculate the weight percent of CaO in the product
leaving the kiln. Assume that the moisture in the feed is completely
vaporized.
04
(c) Pure methane is heated from 303.15K to 523.15 K at atmospheric pressure.
Calculate the heat added per kmol methane, using date given below:
a b?10
3
c?10
6
d?10
9
19.2494 52.1135 11.973 -11.3173
07
OR
2
(c) Calculate the heat of reaction at 298.15 K of the following reaction:
3CaSO4(s)+ SiO2(s) 3 CaO.SiO2(s)+ SO2(g)+ 3/2 O2(g)
Component ?H
0
f, kJ/mol at 298.15 K
(25
0
C)
CaSO4(s) -1432.7
SiO2(s) -903.5
3 CaO.SiO2(s) -2879
SO2(g) -296.81
O2(g) 0.0
07
Q.3 (a) Define following terms (a) Yield (b) limiting reactant and (c) Molality 03
(b) What are the methods of expressing the composition of mixtures and
solutions?
04
(c) The waste acid from a nitrating process containing 20% HNO3, 55% H2SO4
and 25% H2O by weight is to be concentrated by addition of concentrated
sulphuric acid containing 90% HNO3 to get desired mixed acid containing
26% HNO3 and 60% H2SO4. Calculate the quantities of waste and
concentrated acids required for 1000 kg of desired mixed acid.
07
OR
Q.3 (a) Define (a) Adiabatic saturation temperature (b) Wet bulb Temperature (c)
Molal humidity
03
(b) Define NCV and GCV. 04
(c) A Feed containing 50% benzene and 50% toluene is fed to a distillation
column at the rate of 5000 kg/h. The top product contains 95% benzene and
bottom product contains 92% toluene by weight. Calculate (a) the mass
flow rates of top and bottom products and (b) the percent recovery of
benzene.
07
Q.4 (a) 98 grams of sulphuric acid are dissolved in water to prepare one litre of
solution. Find normality and molarity of solution.
03
(b) Write down statement of Amagat?s law with mathematical expression. 04
(c) A mixture of acetone vapour and nitrogen contains 14.8% acetone by
volume. Calculate the following at 293 K and a pressure of 99.33 kPa.
(a) Partial pressure of acetone.
(b) Moles of acetone per mole of nitrogen.
(c) Relative saturation of mixture at 293 K.
(d) Percentage saturation of mixture at 293 K.
Data: Vapour pressure of acetone at 293 K = 24.638 kPa
07
OR
Q.4 (a) Write in brief about selectivity. 03
(b) Brief about raoult?s law and henry?s law for gas-liquid system. 04
(c) A mixture of benzene vapour and nitrogen gas at 297 K and 100 kPa has a
relative humidity of 60%. It is desired to recover 80% of benzene by
cooling a mixture to 283 K and compressing to a suitable pressure. Find
out the pressure required for above duty.
Data: Vapour pressure of benzene at 297 K = 12.2 kPa
07
Q.5 (a) 2000 kg of wet solids by weight are fed to a tray dryer where it is dried by
hot air. The product finally obtained is found to contain 1 % moisture by
weight, calculate:
(a) The kg of water removed from solids,
(b) The kg of product obtained.
03
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3133606 Date: 26/11/2019
Subject Name: Fundamentals of Material & Energy Balance Calculations
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Marks
Q.1 (a) Discuss Proximate and Ultimate analysis of coal. 03
(b) Give Classification of material balance problems and explain it briefly. 04
(c) A natural gas has the following composition on mole basis: CH4= 84%,
C2H4=13% and N2= 3%
Calculate the heat added to heat 10 kmol of natural gas from 298 K to 523
K using heat capacity dat given below:
Cp= a + bT+ cT
2
+dT
3
kJ/(kmol.K)
Gas a b?10
3
c?10
6
d?10
9
CH4 19.2494 52.1135 11.973 -11.3173
C2H6 5.4129 178.0872 -67.3749 8.7147
N2 29.5909 -5.141 13.1829 -4.968
07
Q.2 (a) A gas containing 25 % CO, 5% CO2, 2% O2 and the rest is N2 is burnt with
20% excess air. If the conversion is 80% complete, calculate the
composition by volume of the flue gases considering the given
compositions of gas to be on mole basis.
03
(b) Limestone mixed with coke is being burnt in a kiln. An average analysis of
the limestone is CaCO3= 84.5%, MgCO3= 11.5 % and the rest is inerts. The
coke contains 76% carbon 21% ash and 3% moisture. The calcination of
CaCO3 is only 95 % complete and that of MgCO3 is 90%. The carbon in
the coke is completely burnt to CO2. The kiln is fed with one kg of coke
per 5 kg of limestone. Calculate the weight percent of CaO in the product
leaving the kiln. Assume that the moisture in the feed is completely
vaporized.
04
(c) Pure methane is heated from 303.15K to 523.15 K at atmospheric pressure.
Calculate the heat added per kmol methane, using date given below:
a b?10
3
c?10
6
d?10
9
19.2494 52.1135 11.973 -11.3173
07
OR
2
(c) Calculate the heat of reaction at 298.15 K of the following reaction:
3CaSO4(s)+ SiO2(s) 3 CaO.SiO2(s)+ SO2(g)+ 3/2 O2(g)
Component ?H
0
f, kJ/mol at 298.15 K
(25
0
C)
CaSO4(s) -1432.7
SiO2(s) -903.5
3 CaO.SiO2(s) -2879
SO2(g) -296.81
O2(g) 0.0
07
Q.3 (a) Define following terms (a) Yield (b) limiting reactant and (c) Molality 03
(b) What are the methods of expressing the composition of mixtures and
solutions?
04
(c) The waste acid from a nitrating process containing 20% HNO3, 55% H2SO4
and 25% H2O by weight is to be concentrated by addition of concentrated
sulphuric acid containing 90% HNO3 to get desired mixed acid containing
26% HNO3 and 60% H2SO4. Calculate the quantities of waste and
concentrated acids required for 1000 kg of desired mixed acid.
07
OR
Q.3 (a) Define (a) Adiabatic saturation temperature (b) Wet bulb Temperature (c)
Molal humidity
03
(b) Define NCV and GCV. 04
(c) A Feed containing 50% benzene and 50% toluene is fed to a distillation
column at the rate of 5000 kg/h. The top product contains 95% benzene and
bottom product contains 92% toluene by weight. Calculate (a) the mass
flow rates of top and bottom products and (b) the percent recovery of
benzene.
07
Q.4 (a) 98 grams of sulphuric acid are dissolved in water to prepare one litre of
solution. Find normality and molarity of solution.
03
(b) Write down statement of Amagat?s law with mathematical expression. 04
(c) A mixture of acetone vapour and nitrogen contains 14.8% acetone by
volume. Calculate the following at 293 K and a pressure of 99.33 kPa.
(a) Partial pressure of acetone.
(b) Moles of acetone per mole of nitrogen.
(c) Relative saturation of mixture at 293 K.
(d) Percentage saturation of mixture at 293 K.
Data: Vapour pressure of acetone at 293 K = 24.638 kPa
07
OR
Q.4 (a) Write in brief about selectivity. 03
(b) Brief about raoult?s law and henry?s law for gas-liquid system. 04
(c) A mixture of benzene vapour and nitrogen gas at 297 K and 100 kPa has a
relative humidity of 60%. It is desired to recover 80% of benzene by
cooling a mixture to 283 K and compressing to a suitable pressure. Find
out the pressure required for above duty.
Data: Vapour pressure of benzene at 297 K = 12.2 kPa
07
Q.5 (a) 2000 kg of wet solids by weight are fed to a tray dryer where it is dried by
hot air. The product finally obtained is found to contain 1 % moisture by
weight, calculate:
(a) The kg of water removed from solids,
(b) The kg of product obtained.
03
3
(b) Acetone is recovered from an acetone-air mixture containing 25%
(volume) acetone by scrubbing with water. Assuming that air is insoluble
in water, determine the percent of acetone in the entering gas that is
absorbed if the gas leaving the scrubber analyzes 5% acetone.
04
(c) Explain orsat analysis with diagram. 07
OR
Q.5 (a) Draw neat sketch of Recycle, bypass and purge operations with
explanation.
03
(b) A continuous distillation column is used to regenerate solvent for use in a
solvent extraction unit. The column treats 200 kmol/hr of a feed containing
10 % mole ethyl alcohol and the rest is water. The overhead product is 89%
mole alcohol and the bottom product is 0.3% mole alcohol. The overhead
product is sent to the extraction unit and the bottom is wasted. What is the
daily requirement of make-up alcohol in the solvent extraction unit?
04
(c) A purified brine at the rate of 50 kg/h is sent to an electrolytic cell for
producing chlorine:
2NaCl + 2H2O 2NaOH + Cl2 + H2
Only 50 % of NaCl in the charge is electrolyzed. The gases leaving the cell
carry with them water vapour in the ratio 0.03 mol/mol gas formed. The
solution leaving the cell contains 10%NaOH which is concentrated to 50%
NaOH in evaporators. The NaCl present in the solution fed to the
evaporator is crystallized and removed so that the concentrate leaving the
evaporators contain only 1.5% NaCl. Calculate the following :
(a) The rate of production of 50% NaOH in kg/h
(b) The rate of production of chlorine and hydrogen gas
(c) The rate at which NaCl is crystallized in kg/h.
07
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This post was last modified on 20 February 2020