Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 3rd Sem Old 131404 Food Engineering Thermodynamics Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III(OLD) EXAMINATION ? SUMMER 2019
Subject Code: 131404 Date: 11/06/2019
Subject Name: Food Engineering Thermodynamics
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) Differentiate between ideal and real gases.
A container of 1000 liter contains CO2 gas at 6 atmosphere pressure and 27
o
C.
Calculate the mass of gas in kg. Assume ideal gas behaviour.
[Take R = 8.314 J/mol K]
07
(b) What is Van der Waals gas equation? Hundred kilogram of N2 gas is stored in a 20
liter sealed container at 7
o
C. Calculate the pressure of the gas in kPa using
compressibility factor of z = 0.88. [Take M = 28 and R = 8.314 J/mole K]
07
Q.2 (a) Explain Zero
th
law of thermodynamics. List different types of thermometers and
explain the principle of operation of any one.
07
(b) Explain Joule?Kelvin coefficient specifying its importance.
For a 2-phase Liquid-Vapour system in thermal equilibrium, prove that:
?
?
?
?
?
?
? ?
?
?
?
?
?
?
?
?
2 1 1
2
1 1
ln
T T R
h
P
P
fg
.
07
OR
(b)
Define enthalpy and specific heats Cp and Cv. Prove that Cp - Cv = R for ideal
gases. The temperature of 5 kg of a gas held in a rigid cylinder was increased
from 24
o
C to 37
o
C by adding 45 kJ of heat externally. Calculate the work done
and the change in internal energy of the system. [Take Cv = 745 J/kg K]
07
Q.3 (a) State first law of thermodynamics. Prove that the work done by an ideal gas
undergoing a reversible adiabatic process is given by W =
) (
1
2 1
T T
R m
?
?
?
?
.
07
(b) What is turbine? Write down SFEE for a fluid stream entering and leaving a
system in terms of work and energy transfer per unit mass. Steam is flowing
through a horizontal nozzle in steady state. The inlet and outlet conditions given
are:
INLET: h1 = 3200 kJ/kg, V1 = 110 m/s, A1 = 0.11 m
2
, v1 = 0.2 m
3
/kg
OUTLET: h2 = 2900 kJ/kg, v2 = 0.51 m
3
/kg.
Calculate (i) Exit velocity in m/s
(ii) Mass flow rate of steam in kg/s
(iii) Exit area of the nozzle in m
2
07
OR
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III(OLD) EXAMINATION ? SUMMER 2019
Subject Code: 131404 Date: 11/06/2019
Subject Name: Food Engineering Thermodynamics
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) Differentiate between ideal and real gases.
A container of 1000 liter contains CO2 gas at 6 atmosphere pressure and 27
o
C.
Calculate the mass of gas in kg. Assume ideal gas behaviour.
[Take R = 8.314 J/mol K]
07
(b) What is Van der Waals gas equation? Hundred kilogram of N2 gas is stored in a 20
liter sealed container at 7
o
C. Calculate the pressure of the gas in kPa using
compressibility factor of z = 0.88. [Take M = 28 and R = 8.314 J/mole K]
07
Q.2 (a) Explain Zero
th
law of thermodynamics. List different types of thermometers and
explain the principle of operation of any one.
07
(b) Explain Joule?Kelvin coefficient specifying its importance.
For a 2-phase Liquid-Vapour system in thermal equilibrium, prove that:
?
?
?
?
?
?
? ?
?
?
?
?
?
?
?
?
2 1 1
2
1 1
ln
T T R
h
P
P
fg
.
07
OR
(b)
Define enthalpy and specific heats Cp and Cv. Prove that Cp - Cv = R for ideal
gases. The temperature of 5 kg of a gas held in a rigid cylinder was increased
from 24
o
C to 37
o
C by adding 45 kJ of heat externally. Calculate the work done
and the change in internal energy of the system. [Take Cv = 745 J/kg K]
07
Q.3 (a) State first law of thermodynamics. Prove that the work done by an ideal gas
undergoing a reversible adiabatic process is given by W =
) (
1
2 1
T T
R m
?
?
?
?
.
07
(b) What is turbine? Write down SFEE for a fluid stream entering and leaving a
system in terms of work and energy transfer per unit mass. Steam is flowing
through a horizontal nozzle in steady state. The inlet and outlet conditions given
are:
INLET: h1 = 3200 kJ/kg, V1 = 110 m/s, A1 = 0.11 m
2
, v1 = 0.2 m
3
/kg
OUTLET: h2 = 2900 kJ/kg, v2 = 0.51 m
3
/kg.
Calculate (i) Exit velocity in m/s
(ii) Mass flow rate of steam in kg/s
(iii) Exit area of the nozzle in m
2
07
OR
2
Q.3 (a) State the first law of thermodynamics. Prove that ?
?
V P Constant for an ideal
gas undergoing a reversible adiabatic process. Ten kilogram of an ideal gas at
200
o
C and 20 bar pressure expands isentropically through a volume ratio of 5:1.
Calculate the work done during the process in kJ.
[Take Cp = 1.025 kJ/kgK, Cv = 0.714 kJ/kgK]
07
(b) Define thermodynamic degrees of freedom and state Gibb?s phase rule. Explain
different types of thermodynamic equilibrium. Calculate the thermodynamic
degrees of freedom of pure water at its critical point.
07
Q.4 (a) Explain the following:
(i) Second law of thermodynamics
(ii) Clausius inequality
(ii) PMM1 And PMM2
07
(b) Explain Carnot theorems. A heat engine operating between two constant
temperature reservoirs at 600 K and 400 K is producing a net steady work output
of 24 kW. If the thermal efficiency of the engine is 80% of the maximum
possible efficiency, calculate heat input to the engine and heat rejection in kW.
07
OR
Q.4 (a) With the help of schematic diagram explain the operation of a heat engine and
refrigerator A refrigerator is operating between 1
o
C and 30
o
C at a COP of 50 %
of the maximum possible COP. If the net cooling effect generated is 2 kW,
calculate the power requirement.
07
(b) Prove the following:
(i)
P S
S
V
P
T
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
(ii)
1
P
T
T
V
V
P
V P T
? ? ?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
07
Q.5 (a) Draw a neat labeled P-v diagram of a pure substance (water) showing its various
states. Determine the following using steam tables for saturated steam at 10 bar
pressure:
(i) Saturation temperature in
o
C
(ii) Entropy in kJ/kg K
(iii) Latent heat of vaporization in kJ/kg
(iv) Specific volume in m
3
/kg
07
(b) The weather report on a particular summer day in Anand states the following:
Atmospheric pressure = 1.01325 bar
Atmospheric temperature = 42
o
C &
Relative humidity = 60%.
Using Psychrometric Chart find out the following:
(i) Dry Bulb Temperature (DBT)
(ii) Wet Bulb Temperature (WBT)
(iii) Absolute humidity
(iv) Mass of moist air
(v) Dew point temperature
(vi) Specific volume
(vii) Specific enthalpy
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III(OLD) EXAMINATION ? SUMMER 2019
Subject Code: 131404 Date: 11/06/2019
Subject Name: Food Engineering Thermodynamics
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) Differentiate between ideal and real gases.
A container of 1000 liter contains CO2 gas at 6 atmosphere pressure and 27
o
C.
Calculate the mass of gas in kg. Assume ideal gas behaviour.
[Take R = 8.314 J/mol K]
07
(b) What is Van der Waals gas equation? Hundred kilogram of N2 gas is stored in a 20
liter sealed container at 7
o
C. Calculate the pressure of the gas in kPa using
compressibility factor of z = 0.88. [Take M = 28 and R = 8.314 J/mole K]
07
Q.2 (a) Explain Zero
th
law of thermodynamics. List different types of thermometers and
explain the principle of operation of any one.
07
(b) Explain Joule?Kelvin coefficient specifying its importance.
For a 2-phase Liquid-Vapour system in thermal equilibrium, prove that:
?
?
?
?
?
?
? ?
?
?
?
?
?
?
?
?
2 1 1
2
1 1
ln
T T R
h
P
P
fg
.
07
OR
(b)
Define enthalpy and specific heats Cp and Cv. Prove that Cp - Cv = R for ideal
gases. The temperature of 5 kg of a gas held in a rigid cylinder was increased
from 24
o
C to 37
o
C by adding 45 kJ of heat externally. Calculate the work done
and the change in internal energy of the system. [Take Cv = 745 J/kg K]
07
Q.3 (a) State first law of thermodynamics. Prove that the work done by an ideal gas
undergoing a reversible adiabatic process is given by W =
) (
1
2 1
T T
R m
?
?
?
?
.
07
(b) What is turbine? Write down SFEE for a fluid stream entering and leaving a
system in terms of work and energy transfer per unit mass. Steam is flowing
through a horizontal nozzle in steady state. The inlet and outlet conditions given
are:
INLET: h1 = 3200 kJ/kg, V1 = 110 m/s, A1 = 0.11 m
2
, v1 = 0.2 m
3
/kg
OUTLET: h2 = 2900 kJ/kg, v2 = 0.51 m
3
/kg.
Calculate (i) Exit velocity in m/s
(ii) Mass flow rate of steam in kg/s
(iii) Exit area of the nozzle in m
2
07
OR
2
Q.3 (a) State the first law of thermodynamics. Prove that ?
?
V P Constant for an ideal
gas undergoing a reversible adiabatic process. Ten kilogram of an ideal gas at
200
o
C and 20 bar pressure expands isentropically through a volume ratio of 5:1.
Calculate the work done during the process in kJ.
[Take Cp = 1.025 kJ/kgK, Cv = 0.714 kJ/kgK]
07
(b) Define thermodynamic degrees of freedom and state Gibb?s phase rule. Explain
different types of thermodynamic equilibrium. Calculate the thermodynamic
degrees of freedom of pure water at its critical point.
07
Q.4 (a) Explain the following:
(i) Second law of thermodynamics
(ii) Clausius inequality
(ii) PMM1 And PMM2
07
(b) Explain Carnot theorems. A heat engine operating between two constant
temperature reservoirs at 600 K and 400 K is producing a net steady work output
of 24 kW. If the thermal efficiency of the engine is 80% of the maximum
possible efficiency, calculate heat input to the engine and heat rejection in kW.
07
OR
Q.4 (a) With the help of schematic diagram explain the operation of a heat engine and
refrigerator A refrigerator is operating between 1
o
C and 30
o
C at a COP of 50 %
of the maximum possible COP. If the net cooling effect generated is 2 kW,
calculate the power requirement.
07
(b) Prove the following:
(i)
P S
S
V
P
T
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
(ii)
1
P
T
T
V
V
P
V P T
? ? ?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
07
Q.5 (a) Draw a neat labeled P-v diagram of a pure substance (water) showing its various
states. Determine the following using steam tables for saturated steam at 10 bar
pressure:
(i) Saturation temperature in
o
C
(ii) Entropy in kJ/kg K
(iii) Latent heat of vaporization in kJ/kg
(iv) Specific volume in m
3
/kg
07
(b) The weather report on a particular summer day in Anand states the following:
Atmospheric pressure = 1.01325 bar
Atmospheric temperature = 42
o
C &
Relative humidity = 60%.
Using Psychrometric Chart find out the following:
(i) Dry Bulb Temperature (DBT)
(ii) Wet Bulb Temperature (WBT)
(iii) Absolute humidity
(iv) Mass of moist air
(v) Dew point temperature
(vi) Specific volume
(vii) Specific enthalpy
07
3
OR
Q.5 (a) Draw and explain phase diagram of water on a T-s diagram.
Using Steam Tables determine the following for saturated steam at 160
o
C:
(i)Specific enthalpy (ii) Latent heat of vaporization (iii) Density
(iv) Specific entropy (v) Saturation pressure in kPa
07
(b) Define the following in relation to moist air:
i. Dry bulb temperature
ii. Wet bulb and temperature
iii. Adiabatic saturation temperature
iv. Relative humidity
v. Absolute humidity
vi. Sensible heating
vii. Dehumidification
07
*******************
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This post was last modified on 20 February 2020