Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 4th Sem New 2143507 Fundamentals Of Stoichiometry Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2143507 Date:25/05/2019
Subject Name: Fundamentals of Stoichiometry
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.
Q.1 (a) Define the following : (i) Selectivity (ii) Single pass conversion (iii) Molarity 03
(b) The effective heat capacity of a mixture of gases is given by
?? ?? = 7.13 + 0.577 ? 10
?3
?? + 0.0248 ? 10
?6
?? 2
Where ?? ?? is in Btu /(lb-mol
o
F) and t is in
o
F. Change the equation in to the form in which ?? ?? is given in
kJ/(kmol K) and temperature is in K.
04
(c) The average molar mass of a flue gas sample is calculated by two different engineers.
One engineer uses the correct molar mass of 28 for N 2 and determines the average
molar mass to be 30.08, the other engineer, using an incorrect value of 14, calculates
the average molar mass to be 18.74. (i) Calculate the volume % of nitrogen in the
flue gases, (ii) If the remaining components of the flue gases are CO 2 and O 2,
calculate the volume % each of them
07
Q.2 (a) Prove mole fraction = Volume fraction = Pressure fraction. 03
(b) 150 L oxygen cylinder contains gas at 300 K & 10 bar. Calculate the mass of oxygen
in the cylinder.
04
(c) The analysis of a sewage gas sample from a municipal sewage treatment plant is
given below on a volume basis: Methane - 68 % Carbon dioxide - 30 % Ammonia -
2 %, and H 2S, SO 2, are in traces.
Find i) The avg. molar mass of gas; ii) The density of gas at NTP
07
OR
(c) In a gas mixture consisting of hydrogen, nitrogen and carbon dioxide. The partial
pressures are 25 kPa for hydrogen, 35 kPa for nitrogen and 140 kPa for CO 2. For 50
m
3
of the gas mixture at 400 K, Determine
i) The number of moles of gas moisture.
ii) The number moles and mole fraction of hydrogen.
iii) The mass and the mass fraction of hydrogen.
iv) The pure component volume of hydrogen.
v) The average molecular weight of mixture.
07
Q.3 (a) Define : Dalton?s law and Raoult?s law 03
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2143507 Date:25/05/2019
Subject Name: Fundamentals of Stoichiometry
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.
Q.1 (a) Define the following : (i) Selectivity (ii) Single pass conversion (iii) Molarity 03
(b) The effective heat capacity of a mixture of gases is given by
?? ?? = 7.13 + 0.577 ? 10
?3
?? + 0.0248 ? 10
?6
?? 2
Where ?? ?? is in Btu /(lb-mol
o
F) and t is in
o
F. Change the equation in to the form in which ?? ?? is given in
kJ/(kmol K) and temperature is in K.
04
(c) The average molar mass of a flue gas sample is calculated by two different engineers.
One engineer uses the correct molar mass of 28 for N 2 and determines the average
molar mass to be 30.08, the other engineer, using an incorrect value of 14, calculates
the average molar mass to be 18.74. (i) Calculate the volume % of nitrogen in the
flue gases, (ii) If the remaining components of the flue gases are CO 2 and O 2,
calculate the volume % each of them
07
Q.2 (a) Prove mole fraction = Volume fraction = Pressure fraction. 03
(b) 150 L oxygen cylinder contains gas at 300 K & 10 bar. Calculate the mass of oxygen
in the cylinder.
04
(c) The analysis of a sewage gas sample from a municipal sewage treatment plant is
given below on a volume basis: Methane - 68 % Carbon dioxide - 30 % Ammonia -
2 %, and H 2S, SO 2, are in traces.
Find i) The avg. molar mass of gas; ii) The density of gas at NTP
07
OR
(c) In a gas mixture consisting of hydrogen, nitrogen and carbon dioxide. The partial
pressures are 25 kPa for hydrogen, 35 kPa for nitrogen and 140 kPa for CO 2. For 50
m
3
of the gas mixture at 400 K, Determine
i) The number of moles of gas moisture.
ii) The number moles and mole fraction of hydrogen.
iii) The mass and the mass fraction of hydrogen.
iv) The pure component volume of hydrogen.
v) The average molecular weight of mixture.
07
Q.3 (a) Define : Dalton?s law and Raoult?s law 03
2
(b) An aqueous solution of K 2CO 3 is prepared by dissolving 44 g K 2CO 3 in 100 g water
at 293 K. Find Molarity, Normality and Molality of the solution. Take density of
solution as 1.3 kg/L.
04
(c) A solution contains 50% Benzene, 30% Toluene and 20% Xylene by weight at a
temperature of 100 ?C. The vapours are in contact with solution. Calculate the total
pressure and molar % compositions of liquid and the vapour. The vapour pressures
and the molecular weights are as follows:
Components Vapour pressure at 100
o
C Mol. weight
Benzene 1340 mm Hg 78
Toluene 560 mm Hg 92
Xylene 210 mm Hg 106
Assume Raoult?s law is applicable
07
OR
Q.3 (a) Explain: Limiting reactant, Excess reactant and Percent excess reactant. 03
(b) Iron pyrite is burned in 50 % excess air. The following reaction occurs:
4???? ?? 2
+ 11?? 2
? 2????
2
?? 3
+ 8????
2
For 100 kg of iron pyrite charged, calculate following:
a) The amount of air supplied in kg.
b) The composition of exit gases if the percent conversion of iron pyrite is 70 %
04
(c) Calculate the following for the reaction:
C 2H 4 + 2Cl 2 ? C 2HCl 3 + H 2 + HCl
(1) The stoichiometric ratio of Cl 2 to C 2H 4
(2) If 4 kmol Cl 2 is used per kmol of C 2H 4, find the % excess Cl 2
(3) The amount of HCl produced from 50 kg C 2H 4 assuming reaction goes to
completion.
07
Q.4 (a) Explain Recycle, Bypass and Purge operations with example. 03
(b) A saturated solution of MgSO 4 at 353 K is cooled to 303 K in Crystallizer. During
cooling mass equivalent to 4% solution is lost by evaporation of water. Calculate the
quantity of the original saturated solution to be fed to the crystallizer per 1000 kg of
crystals of MgSO 4.7H 2O.
Solubilities of MgSO 4 at 303 K and 353 K are 40.8 and 64.2 kg per 100 kg water
respectively.
Data: Take Molecular mass of MgSO 4 is equivalent to 120.3 kg/kmol
04
(c) A distillation column separates 10000 kg/hr of a 50% benzene-50% toluene mixture.
The product D recovered from the condenser at the top of the column contains 95%
benzene, and the bottom W from the column contains 96% toluene. The vapour
stream V entering the condenser from the top of the column is 8000 kg/hr. A portion
of the product from the condenser is returned to the column as reflux, and the rest is
withdrawn for use elsewhere. Assume that the compositions of the streams at the top
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2143507 Date:25/05/2019
Subject Name: Fundamentals of Stoichiometry
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.
Q.1 (a) Define the following : (i) Selectivity (ii) Single pass conversion (iii) Molarity 03
(b) The effective heat capacity of a mixture of gases is given by
?? ?? = 7.13 + 0.577 ? 10
?3
?? + 0.0248 ? 10
?6
?? 2
Where ?? ?? is in Btu /(lb-mol
o
F) and t is in
o
F. Change the equation in to the form in which ?? ?? is given in
kJ/(kmol K) and temperature is in K.
04
(c) The average molar mass of a flue gas sample is calculated by two different engineers.
One engineer uses the correct molar mass of 28 for N 2 and determines the average
molar mass to be 30.08, the other engineer, using an incorrect value of 14, calculates
the average molar mass to be 18.74. (i) Calculate the volume % of nitrogen in the
flue gases, (ii) If the remaining components of the flue gases are CO 2 and O 2,
calculate the volume % each of them
07
Q.2 (a) Prove mole fraction = Volume fraction = Pressure fraction. 03
(b) 150 L oxygen cylinder contains gas at 300 K & 10 bar. Calculate the mass of oxygen
in the cylinder.
04
(c) The analysis of a sewage gas sample from a municipal sewage treatment plant is
given below on a volume basis: Methane - 68 % Carbon dioxide - 30 % Ammonia -
2 %, and H 2S, SO 2, are in traces.
Find i) The avg. molar mass of gas; ii) The density of gas at NTP
07
OR
(c) In a gas mixture consisting of hydrogen, nitrogen and carbon dioxide. The partial
pressures are 25 kPa for hydrogen, 35 kPa for nitrogen and 140 kPa for CO 2. For 50
m
3
of the gas mixture at 400 K, Determine
i) The number of moles of gas moisture.
ii) The number moles and mole fraction of hydrogen.
iii) The mass and the mass fraction of hydrogen.
iv) The pure component volume of hydrogen.
v) The average molecular weight of mixture.
07
Q.3 (a) Define : Dalton?s law and Raoult?s law 03
2
(b) An aqueous solution of K 2CO 3 is prepared by dissolving 44 g K 2CO 3 in 100 g water
at 293 K. Find Molarity, Normality and Molality of the solution. Take density of
solution as 1.3 kg/L.
04
(c) A solution contains 50% Benzene, 30% Toluene and 20% Xylene by weight at a
temperature of 100 ?C. The vapours are in contact with solution. Calculate the total
pressure and molar % compositions of liquid and the vapour. The vapour pressures
and the molecular weights are as follows:
Components Vapour pressure at 100
o
C Mol. weight
Benzene 1340 mm Hg 78
Toluene 560 mm Hg 92
Xylene 210 mm Hg 106
Assume Raoult?s law is applicable
07
OR
Q.3 (a) Explain: Limiting reactant, Excess reactant and Percent excess reactant. 03
(b) Iron pyrite is burned in 50 % excess air. The following reaction occurs:
4???? ?? 2
+ 11?? 2
? 2????
2
?? 3
+ 8????
2
For 100 kg of iron pyrite charged, calculate following:
a) The amount of air supplied in kg.
b) The composition of exit gases if the percent conversion of iron pyrite is 70 %
04
(c) Calculate the following for the reaction:
C 2H 4 + 2Cl 2 ? C 2HCl 3 + H 2 + HCl
(1) The stoichiometric ratio of Cl 2 to C 2H 4
(2) If 4 kmol Cl 2 is used per kmol of C 2H 4, find the % excess Cl 2
(3) The amount of HCl produced from 50 kg C 2H 4 assuming reaction goes to
completion.
07
Q.4 (a) Explain Recycle, Bypass and Purge operations with example. 03
(b) A saturated solution of MgSO 4 at 353 K is cooled to 303 K in Crystallizer. During
cooling mass equivalent to 4% solution is lost by evaporation of water. Calculate the
quantity of the original saturated solution to be fed to the crystallizer per 1000 kg of
crystals of MgSO 4.7H 2O.
Solubilities of MgSO 4 at 303 K and 353 K are 40.8 and 64.2 kg per 100 kg water
respectively.
Data: Take Molecular mass of MgSO 4 is equivalent to 120.3 kg/kmol
04
(c) A distillation column separates 10000 kg/hr of a 50% benzene-50% toluene mixture.
The product D recovered from the condenser at the top of the column contains 95%
benzene, and the bottom W from the column contains 96% toluene. The vapour
stream V entering the condenser from the top of the column is 8000 kg/hr. A portion
of the product from the condenser is returned to the column as reflux, and the rest is
withdrawn for use elsewhere. Assume that the compositions of the streams at the top
07
3
of the column (V), the product withdrawn (D), and the reflux (R) are identical
because the V stream is condensed completely. Find the ratio of the amount refluxed
(R) to the product withdrawn (D).
OR
Q.4 (a) Define: Solubility, Vapour pressure and Boiling point 03
(b) 2000 kg of wet solids containing 70% solids by weight are fed to tray dyer where it
is dried by hot air. The product finally obtained is found to contain 1% moisture by
weight, calculate: (1) kg of water removed from wet solids (2) kg of the product
obtained
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 the bottom product
contains 92 % toluene by weight. Calculate;
i) The mass flow rate of top and bottom products.
ii) The percent recovery of benzene.
07
Q.5 (a) State Hess?s law 03
(b) The heat capacity of carbon monoxide is given by the following equation,
?? ?? = 6.395 + 6.77 ? 10
?4
?? + 1.3 ? 10
?7
?? 2
Where T is in K. What is the enthalpy change associated with heating of 28 grams
of carbon monoxide from 500 K to 1000 K?
04
(c) Calculate the standard heat of formation of liquid methanol, given the standard heat
of combustion of liquid methanol is ? 726.55 kJ/mol and the standard heat of
formation of gaseous CO 2 and liquid water are respectively, -393.51 and ? 285.84
kJ/mol
07
OR
Q.5 (a) Define the following terms with respect to humidification operation
(1) Absolute humidity (2) Dry bulb temperature (3)) Dew point temperature
03
(b) A heat exchanger for cooling a hot hydrocarbon liquid uses 10000 kg/h of cooling
water, which enters the exchanger at 294 K. The hot oil at the rate of 5000 kg/h
enters at 423 K and leaves at 338 K and has an average heat capacity of 2.5 kJ/kg K.
Calculate the outlet temperature of water.
04
(c) Calculate the theoretical flame temperature for CO when it is burnt with 100 %
excess air. Both the reactants are at 373K. The heat capacities (J/mol.K) (may be
assumed constant) are 29.23 for CO, 34.83 for O 2, 33.03 for N 2 and 53.59 for CO 2.
The standard heat of combustion at 298K is -282.99 kJ/mol CO
07
*************
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This post was last modified on 20 February 2020