Gaseous state IIT JAM Notes | EduRev

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IIT JAM : Gaseous state IIT JAM Notes | EduRev

 Page 1


2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
Physical Chemistry Assignment IIT-JAM
Gaseous State
1. Which one of the following statements is not correct about the three states of matter i.e. solid, liquid and 
gaseous 
(a) Molecules of a solid possess least energy whereas those of a gas possess highest energy
(b) The density of solid is highest whereas that of gases is lowest
(c) Gases like liquids possess definite volumes
(d) Molecules of a solid possess vibratory motion
2. The temperature and pressure at which ice, liquid water and water vapour can exist together are
(a) atm C
o
1 , 0 (b) atm C
o
7 . 4 , 2 (c) mm C
o
7 . 4 , 0 (d) mm C
o
7 . 4 , 2 -
3. Which of the following is true about gaseous state
(a) Thermal energy = Molecular attraction (b) Thermal energy >> Molecular attraction
(c) Thermal energy << Molecular attraction (d) Molecular forces >> Those in liquids
4. Kinetic energy of molecules is highest in
(a) Gases (b) Solids (c) Liquids (d) Solutions
5. Which of the following statement is correct 
(a) In all the three states the molecules possess random translational motion
(b) Gases cannot be converted into solids without passing through liquid state
(c) One of the common property of liquids and gases is viscosity
(d) According to Boyle's law V/P is constant at constant T
6. A volume of 1 
3
m is equal to
(a)
3
1000 cm (b)
3
100 cm (c)
3
10 dm (d)
3 6
10 cm
7. Which one of the following is not a unit of pressure
(a) Newton (b) Torr (c) Pascal (d) Bar
8. C
o
1 rise in temperature is equal to a rise of
(a) F
o
1 (b) F
o
5 / 9 (c) F
o
9 / 5 (d) F
o
33
9. Which of the following relations for expressing volume of a sample is not correct
(a) ml L
3
10 1 = (b) L dm 1 1
3
= (c)
3 3
10 1 m L = (d)
3 3
10 1 cm L =
10. The temperature at which Celsius and Fahrenheit scales give the same reading is
(a) C
o
0 (b) F
o
32 (c) C
o
40 - (d) C
o
40
11. One atmosphere is numerically equal to approximately
(a)
2 6
dynes 10
-
cm (b)
2 2
dynes 10
-
cm (c)
2 4
dynes 10
-
cm (d)
2 8
dynes 10
-
cm
12. Torr is a unit of
(a) Temperature (b) Volume (c) Pressure (d) Viscosity
Page 2


2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
Physical Chemistry Assignment IIT-JAM
Gaseous State
1. Which one of the following statements is not correct about the three states of matter i.e. solid, liquid and 
gaseous 
(a) Molecules of a solid possess least energy whereas those of a gas possess highest energy
(b) The density of solid is highest whereas that of gases is lowest
(c) Gases like liquids possess definite volumes
(d) Molecules of a solid possess vibratory motion
2. The temperature and pressure at which ice, liquid water and water vapour can exist together are
(a) atm C
o
1 , 0 (b) atm C
o
7 . 4 , 2 (c) mm C
o
7 . 4 , 0 (d) mm C
o
7 . 4 , 2 -
3. Which of the following is true about gaseous state
(a) Thermal energy = Molecular attraction (b) Thermal energy >> Molecular attraction
(c) Thermal energy << Molecular attraction (d) Molecular forces >> Those in liquids
4. Kinetic energy of molecules is highest in
(a) Gases (b) Solids (c) Liquids (d) Solutions
5. Which of the following statement is correct 
(a) In all the three states the molecules possess random translational motion
(b) Gases cannot be converted into solids without passing through liquid state
(c) One of the common property of liquids and gases is viscosity
(d) According to Boyle's law V/P is constant at constant T
6. A volume of 1 
3
m is equal to
(a)
3
1000 cm (b)
3
100 cm (c)
3
10 dm (d)
3 6
10 cm
7. Which one of the following is not a unit of pressure
(a) Newton (b) Torr (c) Pascal (d) Bar
8. C
o
1 rise in temperature is equal to a rise of
(a) F
o
1 (b) F
o
5 / 9 (c) F
o
9 / 5 (d) F
o
33
9. Which of the following relations for expressing volume of a sample is not correct
(a) ml L
3
10 1 = (b) L dm 1 1
3
= (c)
3 3
10 1 m L = (d)
3 3
10 1 cm L =
10. The temperature at which Celsius and Fahrenheit scales give the same reading is
(a) C
o
0 (b) F
o
32 (c) C
o
40 - (d) C
o
40
11. One atmosphere is numerically equal to approximately
(a)
2 6
dynes 10
-
cm (b)
2 2
dynes 10
-
cm (c)
2 4
dynes 10
-
cm (d)
2 8
dynes 10
-
cm
12. Torr is a unit of
(a) Temperature (b) Volume (c) Pressure (d) Viscosity
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
13. Pressure of a gas in a vessel can be measured by
(a) Barometer (b) Manometer (c) Stalgometer (d) All the baove
14. A temperature of C
o
40 - shall be equal to
(a) 233 K (b) F
o
40 - (c) F
o
32 - (d) Both (a) and (b)
15. Volume occupied by a gas at one atmospheric pressure and C
o
0 is V mL. Its volume at 273 K will be 
(a) V ml (b) V/2 ml (c) 2 V (d) None of these
16. Which one of the following statements is wrong for gases
(a) Gases do not have a definite shape and volume
(b) Volume of the gas is equal to the volume of the container confining the gas
(c) Confined gas exerts uniform pressure on the walls of its container in all directions
(d) Mass of the gas cannot be determined by weighing a container in which it is enclosed
17. If P, V, T represent pressure, volume and temperature of the gas, the correct representation of Boyle's law 
is
(a)
T
V
1
µ (at constant P) (b) RT PV = (c) P V / 1 µ (at constant T) (d) nRT PV =
18. At constant temperature, in a given mass of an ideal gas
(a) The ratio of pressure and volume always remains constant
(b) Volume always remains constant
(c) Pressure always remains constant
(d) The product of pressure and volume always remains constant 
19. Air at sea level is dense. This is a practical application of
(a) Boyle's law (b) Charle's law (c) Avogadro's law (d) Dalton's law
20. If 20
3
cm gas at 1 atm. is expanded to 50 
3
cm at constant T, then what is the final pressure
(a)
50
1
20 ¥ (b)
20
1
50 ¥ (c) 50
20
1
1 ¥ ¥ (d) None of these
21. A gas of volume 100 cc is kept in a vessel at pressure 
4
10 Pa maintained at temperature C
o
24 . If now the 
pressure is increased to 
5
10 Pa, keeping the temperature constant, then the volume of the gas becomes
(a) 10 cc (b) 100 cc (c) 1 cc (d) 1000 cc
22. Which of the following statement is false
(a) The product of pressure and volume of fixed amount of a gas is independent of temperature
(b) Molecules of different gases have the same K.E. at a given temperature
(c) The gas equation is not valid at high pressure and low temperature
(d) The gas constant per molecule is known as Boltzmann constant
23. Which of the following graphs represent Boyle's law 
(a) (b) (c) (d)
V
P
P
PV
V
PV
P
PV
Page 3


2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
Physical Chemistry Assignment IIT-JAM
Gaseous State
1. Which one of the following statements is not correct about the three states of matter i.e. solid, liquid and 
gaseous 
(a) Molecules of a solid possess least energy whereas those of a gas possess highest energy
(b) The density of solid is highest whereas that of gases is lowest
(c) Gases like liquids possess definite volumes
(d) Molecules of a solid possess vibratory motion
2. The temperature and pressure at which ice, liquid water and water vapour can exist together are
(a) atm C
o
1 , 0 (b) atm C
o
7 . 4 , 2 (c) mm C
o
7 . 4 , 0 (d) mm C
o
7 . 4 , 2 -
3. Which of the following is true about gaseous state
(a) Thermal energy = Molecular attraction (b) Thermal energy >> Molecular attraction
(c) Thermal energy << Molecular attraction (d) Molecular forces >> Those in liquids
4. Kinetic energy of molecules is highest in
(a) Gases (b) Solids (c) Liquids (d) Solutions
5. Which of the following statement is correct 
(a) In all the three states the molecules possess random translational motion
(b) Gases cannot be converted into solids without passing through liquid state
(c) One of the common property of liquids and gases is viscosity
(d) According to Boyle's law V/P is constant at constant T
6. A volume of 1 
3
m is equal to
(a)
3
1000 cm (b)
3
100 cm (c)
3
10 dm (d)
3 6
10 cm
7. Which one of the following is not a unit of pressure
(a) Newton (b) Torr (c) Pascal (d) Bar
8. C
o
1 rise in temperature is equal to a rise of
(a) F
o
1 (b) F
o
5 / 9 (c) F
o
9 / 5 (d) F
o
33
9. Which of the following relations for expressing volume of a sample is not correct
(a) ml L
3
10 1 = (b) L dm 1 1
3
= (c)
3 3
10 1 m L = (d)
3 3
10 1 cm L =
10. The temperature at which Celsius and Fahrenheit scales give the same reading is
(a) C
o
0 (b) F
o
32 (c) C
o
40 - (d) C
o
40
11. One atmosphere is numerically equal to approximately
(a)
2 6
dynes 10
-
cm (b)
2 2
dynes 10
-
cm (c)
2 4
dynes 10
-
cm (d)
2 8
dynes 10
-
cm
12. Torr is a unit of
(a) Temperature (b) Volume (c) Pressure (d) Viscosity
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
13. Pressure of a gas in a vessel can be measured by
(a) Barometer (b) Manometer (c) Stalgometer (d) All the baove
14. A temperature of C
o
40 - shall be equal to
(a) 233 K (b) F
o
40 - (c) F
o
32 - (d) Both (a) and (b)
15. Volume occupied by a gas at one atmospheric pressure and C
o
0 is V mL. Its volume at 273 K will be 
(a) V ml (b) V/2 ml (c) 2 V (d) None of these
16. Which one of the following statements is wrong for gases
(a) Gases do not have a definite shape and volume
(b) Volume of the gas is equal to the volume of the container confining the gas
(c) Confined gas exerts uniform pressure on the walls of its container in all directions
(d) Mass of the gas cannot be determined by weighing a container in which it is enclosed
17. If P, V, T represent pressure, volume and temperature of the gas, the correct representation of Boyle's law 
is
(a)
T
V
1
µ (at constant P) (b) RT PV = (c) P V / 1 µ (at constant T) (d) nRT PV =
18. At constant temperature, in a given mass of an ideal gas
(a) The ratio of pressure and volume always remains constant
(b) Volume always remains constant
(c) Pressure always remains constant
(d) The product of pressure and volume always remains constant 
19. Air at sea level is dense. This is a practical application of
(a) Boyle's law (b) Charle's law (c) Avogadro's law (d) Dalton's law
20. If 20
3
cm gas at 1 atm. is expanded to 50 
3
cm at constant T, then what is the final pressure
(a)
50
1
20 ¥ (b)
20
1
50 ¥ (c) 50
20
1
1 ¥ ¥ (d) None of these
21. A gas of volume 100 cc is kept in a vessel at pressure 
4
10 Pa maintained at temperature C
o
24 . If now the 
pressure is increased to 
5
10 Pa, keeping the temperature constant, then the volume of the gas becomes
(a) 10 cc (b) 100 cc (c) 1 cc (d) 1000 cc
22. Which of the following statement is false
(a) The product of pressure and volume of fixed amount of a gas is independent of temperature
(b) Molecules of different gases have the same K.E. at a given temperature
(c) The gas equation is not valid at high pressure and low temperature
(d) The gas constant per molecule is known as Boltzmann constant
23. Which of the following graphs represent Boyle's law 
(a) (b) (c) (d)
V
P
P
PV
V
PV
P
PV
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
24. Densities of two gases are in the ratio 1 : 2 and their temperatures are in the ratio 2 : 1, then the ratio of 
their respective pressures is
(a) 1 : 1 (b) 1 : 2 (c) 2 : 1 (d) 4 : 1
25. If pressure becomes double at the same absolute temperature on 2 L
2
CO , then the volume of 
2
CO becomes
(a) 2 L (b) 4 L (c) 25 L (d) 1 L
26. At constant pressure, the volume of fixed mass of an ideal gas is directly proportional to
(a) Absolute temperature (b) Degree centigrade (c) Degree Fahrenheit (d) None
27. Which of the following expression at constant pressure represents Charle's law
(a)
T
V
1
µ (b)
2
1
T
V µ (c) T V µ (d) d V µ
28. Use of hot air balloons in sports and meteorological obsevations is an application of
(a) Boyle's law (b) Newtonic law (c) Kelvin's law (d) Charle's law
29. A 10 g of a gas at atmospheric pressure is cooled from C
o
273 to C
o
0 keeping the volume constant, its 
pressure would become
(a) 1/2 atm (b) 1/273 atm (c) 2 atm (d) 273 atm
30. At what temperature in the celsius scale, V (volume) of a certain mass of  gas at C
o
27 will be doubled 
keeping the pressure constant
(a) C
o
54 (b) C
o
327 (c) C
o
427 (d) C
o
527
31. Volume of the air that will be expelled from a vessel of 300 
3
cm when it is heated from C
o
27 to C
o
37 at 
the same pressure will be
(a) 310 
3
cm (b) 290 
3
cm (c) 10 
3
cm (d) 37 
3
cm
32. Pressure remaining the same, the volume of a given mass of an ideal gas increases for every degree 
centigrade rise in temperature by definite fraction of its volume at
(a) C
o
0 (b) Its critical temperature (c) Absolute zero (d) Its Boyle temperature
33. The following graph illustrates
(a) Dalton's law (b) Charle's law (c) Boyle's law (d) Gay-Lussac's law
34. A certain sample of gas has a volume of 0.2 litre measured at 1 atm. pressure and C
o
0 . At the same 
pressure but at C
o
273 , its volume will be
(a) 0.4 litres (b) 0.8 litres (c) 27.8 litres (d) 55.6 litres
35. 300 ml of a gas at C
o
27 is cooled to C
o
3 - at constant pressure, the final volume is
(a) 540 ml (b) 135 ml (c) 270 ml (d) 350 ml
36. 400 
3
cm of oxygen at C
o
27 were cooled to C
o
3 - without change in pressure. The contraction in volume 
will be
(a) 40 
3
cm (b) 30 
3
cm (c) 44.4 
3
cm (d) 360 
3
cm
Temp. 
V
Page 4


2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
Physical Chemistry Assignment IIT-JAM
Gaseous State
1. Which one of the following statements is not correct about the three states of matter i.e. solid, liquid and 
gaseous 
(a) Molecules of a solid possess least energy whereas those of a gas possess highest energy
(b) The density of solid is highest whereas that of gases is lowest
(c) Gases like liquids possess definite volumes
(d) Molecules of a solid possess vibratory motion
2. The temperature and pressure at which ice, liquid water and water vapour can exist together are
(a) atm C
o
1 , 0 (b) atm C
o
7 . 4 , 2 (c) mm C
o
7 . 4 , 0 (d) mm C
o
7 . 4 , 2 -
3. Which of the following is true about gaseous state
(a) Thermal energy = Molecular attraction (b) Thermal energy >> Molecular attraction
(c) Thermal energy << Molecular attraction (d) Molecular forces >> Those in liquids
4. Kinetic energy of molecules is highest in
(a) Gases (b) Solids (c) Liquids (d) Solutions
5. Which of the following statement is correct 
(a) In all the three states the molecules possess random translational motion
(b) Gases cannot be converted into solids without passing through liquid state
(c) One of the common property of liquids and gases is viscosity
(d) According to Boyle's law V/P is constant at constant T
6. A volume of 1 
3
m is equal to
(a)
3
1000 cm (b)
3
100 cm (c)
3
10 dm (d)
3 6
10 cm
7. Which one of the following is not a unit of pressure
(a) Newton (b) Torr (c) Pascal (d) Bar
8. C
o
1 rise in temperature is equal to a rise of
(a) F
o
1 (b) F
o
5 / 9 (c) F
o
9 / 5 (d) F
o
33
9. Which of the following relations for expressing volume of a sample is not correct
(a) ml L
3
10 1 = (b) L dm 1 1
3
= (c)
3 3
10 1 m L = (d)
3 3
10 1 cm L =
10. The temperature at which Celsius and Fahrenheit scales give the same reading is
(a) C
o
0 (b) F
o
32 (c) C
o
40 - (d) C
o
40
11. One atmosphere is numerically equal to approximately
(a)
2 6
dynes 10
-
cm (b)
2 2
dynes 10
-
cm (c)
2 4
dynes 10
-
cm (d)
2 8
dynes 10
-
cm
12. Torr is a unit of
(a) Temperature (b) Volume (c) Pressure (d) Viscosity
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
13. Pressure of a gas in a vessel can be measured by
(a) Barometer (b) Manometer (c) Stalgometer (d) All the baove
14. A temperature of C
o
40 - shall be equal to
(a) 233 K (b) F
o
40 - (c) F
o
32 - (d) Both (a) and (b)
15. Volume occupied by a gas at one atmospheric pressure and C
o
0 is V mL. Its volume at 273 K will be 
(a) V ml (b) V/2 ml (c) 2 V (d) None of these
16. Which one of the following statements is wrong for gases
(a) Gases do not have a definite shape and volume
(b) Volume of the gas is equal to the volume of the container confining the gas
(c) Confined gas exerts uniform pressure on the walls of its container in all directions
(d) Mass of the gas cannot be determined by weighing a container in which it is enclosed
17. If P, V, T represent pressure, volume and temperature of the gas, the correct representation of Boyle's law 
is
(a)
T
V
1
µ (at constant P) (b) RT PV = (c) P V / 1 µ (at constant T) (d) nRT PV =
18. At constant temperature, in a given mass of an ideal gas
(a) The ratio of pressure and volume always remains constant
(b) Volume always remains constant
(c) Pressure always remains constant
(d) The product of pressure and volume always remains constant 
19. Air at sea level is dense. This is a practical application of
(a) Boyle's law (b) Charle's law (c) Avogadro's law (d) Dalton's law
20. If 20
3
cm gas at 1 atm. is expanded to 50 
3
cm at constant T, then what is the final pressure
(a)
50
1
20 ¥ (b)
20
1
50 ¥ (c) 50
20
1
1 ¥ ¥ (d) None of these
21. A gas of volume 100 cc is kept in a vessel at pressure 
4
10 Pa maintained at temperature C
o
24 . If now the 
pressure is increased to 
5
10 Pa, keeping the temperature constant, then the volume of the gas becomes
(a) 10 cc (b) 100 cc (c) 1 cc (d) 1000 cc
22. Which of the following statement is false
(a) The product of pressure and volume of fixed amount of a gas is independent of temperature
(b) Molecules of different gases have the same K.E. at a given temperature
(c) The gas equation is not valid at high pressure and low temperature
(d) The gas constant per molecule is known as Boltzmann constant
23. Which of the following graphs represent Boyle's law 
(a) (b) (c) (d)
V
P
P
PV
V
PV
P
PV
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
24. Densities of two gases are in the ratio 1 : 2 and their temperatures are in the ratio 2 : 1, then the ratio of 
their respective pressures is
(a) 1 : 1 (b) 1 : 2 (c) 2 : 1 (d) 4 : 1
25. If pressure becomes double at the same absolute temperature on 2 L
2
CO , then the volume of 
2
CO becomes
(a) 2 L (b) 4 L (c) 25 L (d) 1 L
26. At constant pressure, the volume of fixed mass of an ideal gas is directly proportional to
(a) Absolute temperature (b) Degree centigrade (c) Degree Fahrenheit (d) None
27. Which of the following expression at constant pressure represents Charle's law
(a)
T
V
1
µ (b)
2
1
T
V µ (c) T V µ (d) d V µ
28. Use of hot air balloons in sports and meteorological obsevations is an application of
(a) Boyle's law (b) Newtonic law (c) Kelvin's law (d) Charle's law
29. A 10 g of a gas at atmospheric pressure is cooled from C
o
273 to C
o
0 keeping the volume constant, its 
pressure would become
(a) 1/2 atm (b) 1/273 atm (c) 2 atm (d) 273 atm
30. At what temperature in the celsius scale, V (volume) of a certain mass of  gas at C
o
27 will be doubled 
keeping the pressure constant
(a) C
o
54 (b) C
o
327 (c) C
o
427 (d) C
o
527
31. Volume of the air that will be expelled from a vessel of 300 
3
cm when it is heated from C
o
27 to C
o
37 at 
the same pressure will be
(a) 310 
3
cm (b) 290 
3
cm (c) 10 
3
cm (d) 37 
3
cm
32. Pressure remaining the same, the volume of a given mass of an ideal gas increases for every degree 
centigrade rise in temperature by definite fraction of its volume at
(a) C
o
0 (b) Its critical temperature (c) Absolute zero (d) Its Boyle temperature
33. The following graph illustrates
(a) Dalton's law (b) Charle's law (c) Boyle's law (d) Gay-Lussac's law
34. A certain sample of gas has a volume of 0.2 litre measured at 1 atm. pressure and C
o
0 . At the same 
pressure but at C
o
273 , its volume will be
(a) 0.4 litres (b) 0.8 litres (c) 27.8 litres (d) 55.6 litres
35. 300 ml of a gas at C
o
27 is cooled to C
o
3 - at constant pressure, the final volume is
(a) 540 ml (b) 135 ml (c) 270 ml (d) 350 ml
36. 400 
3
cm of oxygen at C
o
27 were cooled to C
o
3 - without change in pressure. The contraction in volume 
will be
(a) 40 
3
cm (b) 30 
3
cm (c) 44.4 
3
cm (d) 360 
3
cm
Temp. 
V
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
Mob. 011-47455430, 08860929430, e-mail: info@asfinstitute.com, www.asfinstitute.com 
37. The pressure p of a gas is plotted against its absolute temperature T for two different constant volumes, 
1
V
and 
2
V . When 
2 1
V V > , the
(a) Curves have the same slope and do not intersect (b) Curves must intersect at some point other than 
0 = T (c) Curve for 
2
V has a greater slope than that for
1
V (d) Curve for
1
V has a greater slope than that for
2
V
38. Which of the following volume (V) – temperature (T) plots represents the behaviour of one mole of an 
ideal gas at one atmospheric pressure
(a) (b) (c) (d)
39. Two closed vessels of equal volume containing air at pressure 
1
P and temperature 
1
T are connected to 
each other through a narrow tube. If the temperature in one of the vessels is now maintained at 
1
T and that 
in the other at 
2
T , what will be the pressure in the vessels
(a)
2 1
1 1
2
T T
T P
+
(b)
2 1
1
2 T P
T
(c)
2 1
2 1
2
T T
T P
+
(d)
2 1
1
2
T T
P
+
40. “One gram molecule of a gas at N.T.P. occupies 22.4 litres.” This fact was derived from
(a) Dalton's theory   (b)Avogadro's hypothesis (c)Berzelius hypothesis  (d)Law of gaseous volume
41. In a closed flask of 5 litres, 1.0 g of 
2
H is heated from 300 to 600 K. which statement is not correct
(a) Pressure of the gas increases (b)The rate of collision increases
(c) The number of moles of gas increases (d) The energy of gaseous molecules increases
42. Which one of the following statements is false
(a) Avogadro number
21
10 02 . 6 ¥ =
(b) The relationship between average velocity ) (v and root mean square velocity (u) is u v 9213 . 0 =
(c) The mean kinetic energy of an ideal gas is independent of the pressure of the gas
(d) The root mean square velocity of the gas can be calculated by the formula 
2 / 1
) / 3 ( M RT
43. The compressibility of a gas is less than unity at STP. Therefore 
(a) 4 . 22 >
m
V litres (b) 4 . 22 <
m
V litres (c) 4 . 22 =
m
V litres (d) 8 . 44 =
m
V litres
44. The number of moles of any gas is given by
(a) n/V (b)
A
nN (c)
A
N N / (d)
A
mnN
45. In the ideal gas equation, the gas constant R has the dimensions of
(a) mole-atm K
–1
(b) litre mole (c) litre-atm  K
–1
mole
–1
(d) erg K
–1
46. In the equation nRT PV = , which one cannot be the numerical value of R
(a)
1 1 7
10 31 . 8
- -
¥ mol K erg (b)
1 1 7
10 31 . 8
- -
¥ mol K cm dyne
(c)
1 1
31 . 8
- -
mol JK (d)
1 1
. 31 . 8
- -
mol K atm
47. Which one of the following indicates the value of the gas constant R
(36.8 L
373 K) (22.4 L
273 K)
V(L)
T(K)
(28.6 L
373 K) (22.4 L
273 K)
V(L)
T(K)
(30.6 L
373 K) (22.4 L
273 K)
V(L)
T(K)
(14.2 L
373 K)
(22.4 L
273 K)
V(L)
T(K)
Page 5


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Physical Chemistry Assignment IIT-JAM
Gaseous State
1. Which one of the following statements is not correct about the three states of matter i.e. solid, liquid and 
gaseous 
(a) Molecules of a solid possess least energy whereas those of a gas possess highest energy
(b) The density of solid is highest whereas that of gases is lowest
(c) Gases like liquids possess definite volumes
(d) Molecules of a solid possess vibratory motion
2. The temperature and pressure at which ice, liquid water and water vapour can exist together are
(a) atm C
o
1 , 0 (b) atm C
o
7 . 4 , 2 (c) mm C
o
7 . 4 , 0 (d) mm C
o
7 . 4 , 2 -
3. Which of the following is true about gaseous state
(a) Thermal energy = Molecular attraction (b) Thermal energy >> Molecular attraction
(c) Thermal energy << Molecular attraction (d) Molecular forces >> Those in liquids
4. Kinetic energy of molecules is highest in
(a) Gases (b) Solids (c) Liquids (d) Solutions
5. Which of the following statement is correct 
(a) In all the three states the molecules possess random translational motion
(b) Gases cannot be converted into solids without passing through liquid state
(c) One of the common property of liquids and gases is viscosity
(d) According to Boyle's law V/P is constant at constant T
6. A volume of 1 
3
m is equal to
(a)
3
1000 cm (b)
3
100 cm (c)
3
10 dm (d)
3 6
10 cm
7. Which one of the following is not a unit of pressure
(a) Newton (b) Torr (c) Pascal (d) Bar
8. C
o
1 rise in temperature is equal to a rise of
(a) F
o
1 (b) F
o
5 / 9 (c) F
o
9 / 5 (d) F
o
33
9. Which of the following relations for expressing volume of a sample is not correct
(a) ml L
3
10 1 = (b) L dm 1 1
3
= (c)
3 3
10 1 m L = (d)
3 3
10 1 cm L =
10. The temperature at which Celsius and Fahrenheit scales give the same reading is
(a) C
o
0 (b) F
o
32 (c) C
o
40 - (d) C
o
40
11. One atmosphere is numerically equal to approximately
(a)
2 6
dynes 10
-
cm (b)
2 2
dynes 10
-
cm (c)
2 4
dynes 10
-
cm (d)
2 8
dynes 10
-
cm
12. Torr is a unit of
(a) Temperature (b) Volume (c) Pressure (d) Viscosity
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13. Pressure of a gas in a vessel can be measured by
(a) Barometer (b) Manometer (c) Stalgometer (d) All the baove
14. A temperature of C
o
40 - shall be equal to
(a) 233 K (b) F
o
40 - (c) F
o
32 - (d) Both (a) and (b)
15. Volume occupied by a gas at one atmospheric pressure and C
o
0 is V mL. Its volume at 273 K will be 
(a) V ml (b) V/2 ml (c) 2 V (d) None of these
16. Which one of the following statements is wrong for gases
(a) Gases do not have a definite shape and volume
(b) Volume of the gas is equal to the volume of the container confining the gas
(c) Confined gas exerts uniform pressure on the walls of its container in all directions
(d) Mass of the gas cannot be determined by weighing a container in which it is enclosed
17. If P, V, T represent pressure, volume and temperature of the gas, the correct representation of Boyle's law 
is
(a)
T
V
1
µ (at constant P) (b) RT PV = (c) P V / 1 µ (at constant T) (d) nRT PV =
18. At constant temperature, in a given mass of an ideal gas
(a) The ratio of pressure and volume always remains constant
(b) Volume always remains constant
(c) Pressure always remains constant
(d) The product of pressure and volume always remains constant 
19. Air at sea level is dense. This is a practical application of
(a) Boyle's law (b) Charle's law (c) Avogadro's law (d) Dalton's law
20. If 20
3
cm gas at 1 atm. is expanded to 50 
3
cm at constant T, then what is the final pressure
(a)
50
1
20 ¥ (b)
20
1
50 ¥ (c) 50
20
1
1 ¥ ¥ (d) None of these
21. A gas of volume 100 cc is kept in a vessel at pressure 
4
10 Pa maintained at temperature C
o
24 . If now the 
pressure is increased to 
5
10 Pa, keeping the temperature constant, then the volume of the gas becomes
(a) 10 cc (b) 100 cc (c) 1 cc (d) 1000 cc
22. Which of the following statement is false
(a) The product of pressure and volume of fixed amount of a gas is independent of temperature
(b) Molecules of different gases have the same K.E. at a given temperature
(c) The gas equation is not valid at high pressure and low temperature
(d) The gas constant per molecule is known as Boltzmann constant
23. Which of the following graphs represent Boyle's law 
(a) (b) (c) (d)
V
P
P
PV
V
PV
P
PV
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24. Densities of two gases are in the ratio 1 : 2 and their temperatures are in the ratio 2 : 1, then the ratio of 
their respective pressures is
(a) 1 : 1 (b) 1 : 2 (c) 2 : 1 (d) 4 : 1
25. If pressure becomes double at the same absolute temperature on 2 L
2
CO , then the volume of 
2
CO becomes
(a) 2 L (b) 4 L (c) 25 L (d) 1 L
26. At constant pressure, the volume of fixed mass of an ideal gas is directly proportional to
(a) Absolute temperature (b) Degree centigrade (c) Degree Fahrenheit (d) None
27. Which of the following expression at constant pressure represents Charle's law
(a)
T
V
1
µ (b)
2
1
T
V µ (c) T V µ (d) d V µ
28. Use of hot air balloons in sports and meteorological obsevations is an application of
(a) Boyle's law (b) Newtonic law (c) Kelvin's law (d) Charle's law
29. A 10 g of a gas at atmospheric pressure is cooled from C
o
273 to C
o
0 keeping the volume constant, its 
pressure would become
(a) 1/2 atm (b) 1/273 atm (c) 2 atm (d) 273 atm
30. At what temperature in the celsius scale, V (volume) of a certain mass of  gas at C
o
27 will be doubled 
keeping the pressure constant
(a) C
o
54 (b) C
o
327 (c) C
o
427 (d) C
o
527
31. Volume of the air that will be expelled from a vessel of 300 
3
cm when it is heated from C
o
27 to C
o
37 at 
the same pressure will be
(a) 310 
3
cm (b) 290 
3
cm (c) 10 
3
cm (d) 37 
3
cm
32. Pressure remaining the same, the volume of a given mass of an ideal gas increases for every degree 
centigrade rise in temperature by definite fraction of its volume at
(a) C
o
0 (b) Its critical temperature (c) Absolute zero (d) Its Boyle temperature
33. The following graph illustrates
(a) Dalton's law (b) Charle's law (c) Boyle's law (d) Gay-Lussac's law
34. A certain sample of gas has a volume of 0.2 litre measured at 1 atm. pressure and C
o
0 . At the same 
pressure but at C
o
273 , its volume will be
(a) 0.4 litres (b) 0.8 litres (c) 27.8 litres (d) 55.6 litres
35. 300 ml of a gas at C
o
27 is cooled to C
o
3 - at constant pressure, the final volume is
(a) 540 ml (b) 135 ml (c) 270 ml (d) 350 ml
36. 400 
3
cm of oxygen at C
o
27 were cooled to C
o
3 - without change in pressure. The contraction in volume 
will be
(a) 40 
3
cm (b) 30 
3
cm (c) 44.4 
3
cm (d) 360 
3
cm
Temp. 
V
2637, Hudson Lane, Behind Khalsa College, Near G.T.B. Nagar Metro Station Gate No. 3 & 4, New Delhi – 110009
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37. The pressure p of a gas is plotted against its absolute temperature T for two different constant volumes, 
1
V
and 
2
V . When 
2 1
V V > , the
(a) Curves have the same slope and do not intersect (b) Curves must intersect at some point other than 
0 = T (c) Curve for 
2
V has a greater slope than that for
1
V (d) Curve for
1
V has a greater slope than that for
2
V
38. Which of the following volume (V) – temperature (T) plots represents the behaviour of one mole of an 
ideal gas at one atmospheric pressure
(a) (b) (c) (d)
39. Two closed vessels of equal volume containing air at pressure 
1
P and temperature 
1
T are connected to 
each other through a narrow tube. If the temperature in one of the vessels is now maintained at 
1
T and that 
in the other at 
2
T , what will be the pressure in the vessels
(a)
2 1
1 1
2
T T
T P
+
(b)
2 1
1
2 T P
T
(c)
2 1
2 1
2
T T
T P
+
(d)
2 1
1
2
T T
P
+
40. “One gram molecule of a gas at N.T.P. occupies 22.4 litres.” This fact was derived from
(a) Dalton's theory   (b)Avogadro's hypothesis (c)Berzelius hypothesis  (d)Law of gaseous volume
41. In a closed flask of 5 litres, 1.0 g of 
2
H is heated from 300 to 600 K. which statement is not correct
(a) Pressure of the gas increases (b)The rate of collision increases
(c) The number of moles of gas increases (d) The energy of gaseous molecules increases
42. Which one of the following statements is false
(a) Avogadro number
21
10 02 . 6 ¥ =
(b) The relationship between average velocity ) (v and root mean square velocity (u) is u v 9213 . 0 =
(c) The mean kinetic energy of an ideal gas is independent of the pressure of the gas
(d) The root mean square velocity of the gas can be calculated by the formula 
2 / 1
) / 3 ( M RT
43. The compressibility of a gas is less than unity at STP. Therefore 
(a) 4 . 22 >
m
V litres (b) 4 . 22 <
m
V litres (c) 4 . 22 =
m
V litres (d) 8 . 44 =
m
V litres
44. The number of moles of any gas is given by
(a) n/V (b)
A
nN (c)
A
N N / (d)
A
mnN
45. In the ideal gas equation, the gas constant R has the dimensions of
(a) mole-atm K
–1
(b) litre mole (c) litre-atm  K
–1
mole
–1
(d) erg K
–1
46. In the equation nRT PV = , which one cannot be the numerical value of R
(a)
1 1 7
10 31 . 8
- -
¥ mol K erg (b)
1 1 7
10 31 . 8
- -
¥ mol K cm dyne
(c)
1 1
31 . 8
- -
mol JK (d)
1 1
. 31 . 8
- -
mol K atm
47. Which one of the following indicates the value of the gas constant R
(36.8 L
373 K) (22.4 L
273 K)
V(L)
T(K)
(28.6 L
373 K) (22.4 L
273 K)
V(L)
T(K)
(30.6 L
373 K) (22.4 L
273 K)
V(L)
T(K)
(14.2 L
373 K)
(22.4 L
273 K)
V(L)
T(K)
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(a) 1.987 cal K
–1
mol
–1
(b) 8.3 cal K
–1
mol
–1
(c) 0.0821 lit K
–1
mol
–1
(d)1.987 Joules K
–1
mol
–1
48. The constant R is
(a) Work done per molecule (b)Work done per degree absolute
(c) Work done per degree per mole (d)Work done per mole
49. Select one correct statement. In the gas equation, nRT PV =
(a) n is the number of molecules of a gas
(b) V denotes volume of one mole of the gas
(c) n moles of the gas have a volume V
(d) P is the pressure of the gas when only one mole of gas is present
50. The correct value of the gas constant R is close to
(a) 0.082 litre-atmopshere K (b) 0.082 litre-atmosphere 
1 1 - -
mol K
(c) 0.082 litre-
1 1 - -
mole K atmosphere (d) 0.082 mol K atmosphere litre
1 1 - -
51. S.I. unit of gas constant R is
(a) 0.0821 litre atm K
–1
mole
–1
(b) 2 calories K
–1
mole
–1
(c) 8.31 joule K
–1
mole
–1
(d) None
52. Gas equation nRT PV = is obeyed by 
(a) Only isothermal process (b)Only adiabatic process (c)Both (a) and (b) (d) None of these
53. For an ideal gas number of moles per litre in terms of its pressure P, gas constant R and temperature T is
(a) PT/R (b) PRT (c) P/RT (d) RT/P
54. If the pressure and absolute temperature of 2 litres of 
2
CO are doubled, the volume of 
2
CO would become 
(a) 2 litres (b) 4 litres (c) 5 litres (d) 7 litres
55. If two moles of an ideal gas at 546 K occupy a volume of 44.8 litres, the pressure must be
(a) 2 atm (b) 3 atm (c) 4 atm (d) 1 atm
56. The volume of 1 g each of methane ) (
4
CH , ethane ) (
6 2
H C , propane ) (
8 3
H C and butane ) (
10 4
H C was measured 
at 350 K and        1 atm. What is the volume of butane 
(a) 495 
3
cm (b) 600 
3
cm (c) 900 
3
cm (d) 1700 
3
cm
57. How many moles of He gas occupy 22.4 litres at C
o
30 and one atmospheric pressure
(a) 0.90 (b) 1.11 (c) 0.11 (d) 1.0
58. Volume of 0.5 mole of a gas at 1 atm. pressure and K 273 is
(a) 22.4 litres (b) 11.2 litres (c) 44.8 litres (d) 5.6 litres
59. Pressure of a mixture of 4 g of 
2
O and 2 g of 
2
H confined in a bulb of 1 litre at C
o
0 is 
(a) 25.215 atm (b) 31.205 atm (c) 45.215 atm (d) 15.210 atm
60. At C
o
0 and one atm pressure, a gas occupies 100 cc. If the pressure is increased to one and a half-time and 
temperature is increased by one-third of absolute temperature, then final volume of the gas will be
(a) 80 cc (b) 88.9 cc (c) 66.7 cc (d) 100 cc
61. Correct gas equation is
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