Page 1
73
CHAPTER 5
STATES OF MATTER
1. Change in state : It is over all effect of Intermolecular
forces, molecular Interactional energy & thermal energy:
2. Measurable properties of gases : P,V, T, n, Viscosity,
specific heat are some measurable properties.
3. Gas Laws : The quantitative relationship b/w any two of
the variables (V, n, P,T) when other two are constant.
4. Boyle’s Law : The pressure of fixed msss of gas varies
inversely with the volume at constant T. P a 1/V(n,T const.)
P
1
V
1
= P
2
V
2
5. Charle’s Law : At constant P, the volume of fixed amount
of gas varies directly with its absolute temperature.
V a T or
2
2
1
1
, tan
T
V
T
V
t cons
T
V
6. Gay lussac’s Law : At constant V, The pressure of fixed
amount of gas varies directly with its absolute temperature.
P a T or
2
2
1
1
,
T
P
T
P
const
T
P
7. Ideal gas equation : The relationship b/w P, V and T by
Gas Laws PV= nRT.
8. Avogadro’s Law : At given T and P, the volume of gas
varies directly to the amount of gas . V a n ( P, T constant)
9. Dalton’s Law of partial persure : The pressure enerted by a
mixture of non reacting gases is equal to the sum of their
partial pressure at constant (V,T)
Page 2
73
CHAPTER 5
STATES OF MATTER
1. Change in state : It is over all effect of Intermolecular
forces, molecular Interactional energy & thermal energy:
2. Measurable properties of gases : P,V, T, n, Viscosity,
specific heat are some measurable properties.
3. Gas Laws : The quantitative relationship b/w any two of
the variables (V, n, P,T) when other two are constant.
4. Boyle’s Law : The pressure of fixed msss of gas varies
inversely with the volume at constant T. P a 1/V(n,T const.)
P
1
V
1
= P
2
V
2
5. Charle’s Law : At constant P, the volume of fixed amount
of gas varies directly with its absolute temperature.
V a T or
2
2
1
1
, tan
T
V
T
V
t cons
T
V
6. Gay lussac’s Law : At constant V, The pressure of fixed
amount of gas varies directly with its absolute temperature.
P a T or
2
2
1
1
,
T
P
T
P
const
T
P
7. Ideal gas equation : The relationship b/w P, V and T by
Gas Laws PV= nRT.
8. Avogadro’s Law : At given T and P, the volume of gas
varies directly to the amount of gas . V a n ( P, T constant)
9. Dalton’s Law of partial persure : The pressure enerted by a
mixture of non reacting gases is equal to the sum of their
partial pressure at constant (V,T)
74
P (total ) = P1 + P2 + P3 + ………. (T, V, constant)
10. Kinetic Molecular theory :
a. Gases consist of large number of identical particles
(atoms or molecules) that are so small that the actual
volume of the molecules is negligible in comparison to
the empty space between them.
b. There is no force of attraction between the particles of a
gas at ordinary temperature and pressure
c. Particles of a gas are always in constant and random
motion
d. Pressure is exerted by the gas as a result of collision of
the particles with the walls of the container
e. Collisions of gas molecules are perfectly elastic
f. At any particular time, different particles in the gas have
different speeds and hence different kinetic energies
g. Average kinetic energy of the gas molecules is directly
proportional to the absolute temperature
11. Real Gases : The gases which deviates from Ideal behavior
at higher pressure and low temperature b/c of force of
attraction b/w molecules increases .
12. Compressibility factor (Z) : It determine extent of devation
of real gases from Ideal gas behavior : Z =
. . . T R n
PV
for ideal
gas Z=1, for Nonideal gas Z< 1, Z > 1
13. Vander waal’s Equation : .
2
2
nRT nb V
V
a n
P
14. Critical Temperature : (Tc) The temperature above which a
gas cannot be liquefied whatever high pressure may be
15. Critical Pressure : The minimum pressure required to liquity
a gas at its critical temperature.
16. Critical Volume : The volume of 1 mole of gat at Tc, Pc.
17. Super cooled liquids : The liquids which are cooled to a
temperature below its freezing point without freezing .
Page 3
73
CHAPTER 5
STATES OF MATTER
1. Change in state : It is over all effect of Intermolecular
forces, molecular Interactional energy & thermal energy:
2. Measurable properties of gases : P,V, T, n, Viscosity,
specific heat are some measurable properties.
3. Gas Laws : The quantitative relationship b/w any two of
the variables (V, n, P,T) when other two are constant.
4. Boyle’s Law : The pressure of fixed msss of gas varies
inversely with the volume at constant T. P a 1/V(n,T const.)
P
1
V
1
= P
2
V
2
5. Charle’s Law : At constant P, the volume of fixed amount
of gas varies directly with its absolute temperature.
V a T or
2
2
1
1
, tan
T
V
T
V
t cons
T
V
6. Gay lussac’s Law : At constant V, The pressure of fixed
amount of gas varies directly with its absolute temperature.
P a T or
2
2
1
1
,
T
P
T
P
const
T
P
7. Ideal gas equation : The relationship b/w P, V and T by
Gas Laws PV= nRT.
8. Avogadro’s Law : At given T and P, the volume of gas
varies directly to the amount of gas . V a n ( P, T constant)
9. Dalton’s Law of partial persure : The pressure enerted by a
mixture of non reacting gases is equal to the sum of their
partial pressure at constant (V,T)
74
P (total ) = P1 + P2 + P3 + ………. (T, V, constant)
10. Kinetic Molecular theory :
a. Gases consist of large number of identical particles
(atoms or molecules) that are so small that the actual
volume of the molecules is negligible in comparison to
the empty space between them.
b. There is no force of attraction between the particles of a
gas at ordinary temperature and pressure
c. Particles of a gas are always in constant and random
motion
d. Pressure is exerted by the gas as a result of collision of
the particles with the walls of the container
e. Collisions of gas molecules are perfectly elastic
f. At any particular time, different particles in the gas have
different speeds and hence different kinetic energies
g. Average kinetic energy of the gas molecules is directly
proportional to the absolute temperature
11. Real Gases : The gases which deviates from Ideal behavior
at higher pressure and low temperature b/c of force of
attraction b/w molecules increases .
12. Compressibility factor (Z) : It determine extent of devation
of real gases from Ideal gas behavior : Z =
. . . T R n
PV
for ideal
gas Z=1, for Nonideal gas Z< 1, Z > 1
13. Vander waal’s Equation : .
2
2
nRT nb V
V
a n
P
14. Critical Temperature : (Tc) The temperature above which a
gas cannot be liquefied whatever high pressure may be
15. Critical Pressure : The minimum pressure required to liquity
a gas at its critical temperature.
16. Critical Volume : The volume of 1 mole of gat at Tc, Pc.
17. Super cooled liquids : The liquids which are cooled to a
temperature below its freezing point without freezing .
75
18. Elastic Collision : The collisions in which no loss of K.E.
only there is transfer of energy.
19. Vapour pressure : The equilibrium pressure by vapour of
liquid in a container at given temperature (T)
20. At higher altitude : The b.p. of water decreases b/c the
atmospheric pressure is less than one atmosphere.
21. Surface Tension (V) : It is force acting per unit length
perpendicular to the line drawn on the surface : (Nm
-1
) : It
decreases with increases in T, it increases with increase in
external pressure, b/c of it falling drops of liquid are
spherical, liquid in capillary tube rises.
22. Viscosity (?) : It is resistance offered to the flow of liquid
due to friction b/w layer of fluids .
dn
dv
A n F . .
23. Effect of T & P on viscosity : It decreases with increase in
T, and increases with increase in P.
24. Low M.P. & B.P. of molecular liquids is due to low
magnitude of molecular interaction energy.
One mark questions
1. At what condition surface tension vanishes ?
2. Why Helium is used in balloons in place of hydrogen?
3. At what temperature below which a gas does not obey ideal
gas law?
4. At what temperature the volume of a gas is supposed to be
zero?
5. What is the molar volume at 0
o
C and 1 bar pressure?
Page 4
73
CHAPTER 5
STATES OF MATTER
1. Change in state : It is over all effect of Intermolecular
forces, molecular Interactional energy & thermal energy:
2. Measurable properties of gases : P,V, T, n, Viscosity,
specific heat are some measurable properties.
3. Gas Laws : The quantitative relationship b/w any two of
the variables (V, n, P,T) when other two are constant.
4. Boyle’s Law : The pressure of fixed msss of gas varies
inversely with the volume at constant T. P a 1/V(n,T const.)
P
1
V
1
= P
2
V
2
5. Charle’s Law : At constant P, the volume of fixed amount
of gas varies directly with its absolute temperature.
V a T or
2
2
1
1
, tan
T
V
T
V
t cons
T
V
6. Gay lussac’s Law : At constant V, The pressure of fixed
amount of gas varies directly with its absolute temperature.
P a T or
2
2
1
1
,
T
P
T
P
const
T
P
7. Ideal gas equation : The relationship b/w P, V and T by
Gas Laws PV= nRT.
8. Avogadro’s Law : At given T and P, the volume of gas
varies directly to the amount of gas . V a n ( P, T constant)
9. Dalton’s Law of partial persure : The pressure enerted by a
mixture of non reacting gases is equal to the sum of their
partial pressure at constant (V,T)
74
P (total ) = P1 + P2 + P3 + ………. (T, V, constant)
10. Kinetic Molecular theory :
a. Gases consist of large number of identical particles
(atoms or molecules) that are so small that the actual
volume of the molecules is negligible in comparison to
the empty space between them.
b. There is no force of attraction between the particles of a
gas at ordinary temperature and pressure
c. Particles of a gas are always in constant and random
motion
d. Pressure is exerted by the gas as a result of collision of
the particles with the walls of the container
e. Collisions of gas molecules are perfectly elastic
f. At any particular time, different particles in the gas have
different speeds and hence different kinetic energies
g. Average kinetic energy of the gas molecules is directly
proportional to the absolute temperature
11. Real Gases : The gases which deviates from Ideal behavior
at higher pressure and low temperature b/c of force of
attraction b/w molecules increases .
12. Compressibility factor (Z) : It determine extent of devation
of real gases from Ideal gas behavior : Z =
. . . T R n
PV
for ideal
gas Z=1, for Nonideal gas Z< 1, Z > 1
13. Vander waal’s Equation : .
2
2
nRT nb V
V
a n
P
14. Critical Temperature : (Tc) The temperature above which a
gas cannot be liquefied whatever high pressure may be
15. Critical Pressure : The minimum pressure required to liquity
a gas at its critical temperature.
16. Critical Volume : The volume of 1 mole of gat at Tc, Pc.
17. Super cooled liquids : The liquids which are cooled to a
temperature below its freezing point without freezing .
75
18. Elastic Collision : The collisions in which no loss of K.E.
only there is transfer of energy.
19. Vapour pressure : The equilibrium pressure by vapour of
liquid in a container at given temperature (T)
20. At higher altitude : The b.p. of water decreases b/c the
atmospheric pressure is less than one atmosphere.
21. Surface Tension (V) : It is force acting per unit length
perpendicular to the line drawn on the surface : (Nm
-1
) : It
decreases with increases in T, it increases with increase in
external pressure, b/c of it falling drops of liquid are
spherical, liquid in capillary tube rises.
22. Viscosity (?) : It is resistance offered to the flow of liquid
due to friction b/w layer of fluids .
dn
dv
A n F . .
23. Effect of T & P on viscosity : It decreases with increase in
T, and increases with increase in P.
24. Low M.P. & B.P. of molecular liquids is due to low
magnitude of molecular interaction energy.
One mark questions
1. At what condition surface tension vanishes ?
2. Why Helium is used in balloons in place of hydrogen?
3. At what temperature below which a gas does not obey ideal
gas law?
4. At what temperature the volume of a gas is supposed to be
zero?
5. What is the molar volume at 0
o
C and 1 bar pressure?
76
6. Name the temperature above which a gas cannot be
liquefied by any amount of pressure.
7. What is the effect of increase of temperature on surface
tension and viscosity in a liquid?
8. How is the partial pressure of a gas in a mixture is related to
the total pressure of the gaseous mixture?
9. Why vegetables are cooked with difficulty at hill station.
10. What is the value of Z (compressibility factor) for an Ideal
gas?
Answers to One mark questions
Ans 1 At critical temperature, meniscus b/w liquid and vapours
disappears.
Ans 2. He is incombustible , though heavier than H
2
.
Ans 3. Below Boyle Temperature.
Ans 4. At absolute zero (O K) temperature.
Ans 5. It 22400 ml.
Ans 6. It is critical temperature (Tc)
Ans 7. Both decreases with increase in temperature
Ans 8. P
1
= X
1
x P
(total)
Ans 9. At hill station the atmospheric pressure is less and so
boiling point decreases.
Ans10. For ideal gas Z=1.
Two Marks Questions
Q.1 How do you convert pressure in atmosphere in to SI unit.
Page 5
73
CHAPTER 5
STATES OF MATTER
1. Change in state : It is over all effect of Intermolecular
forces, molecular Interactional energy & thermal energy:
2. Measurable properties of gases : P,V, T, n, Viscosity,
specific heat are some measurable properties.
3. Gas Laws : The quantitative relationship b/w any two of
the variables (V, n, P,T) when other two are constant.
4. Boyle’s Law : The pressure of fixed msss of gas varies
inversely with the volume at constant T. P a 1/V(n,T const.)
P
1
V
1
= P
2
V
2
5. Charle’s Law : At constant P, the volume of fixed amount
of gas varies directly with its absolute temperature.
V a T or
2
2
1
1
, tan
T
V
T
V
t cons
T
V
6. Gay lussac’s Law : At constant V, The pressure of fixed
amount of gas varies directly with its absolute temperature.
P a T or
2
2
1
1
,
T
P
T
P
const
T
P
7. Ideal gas equation : The relationship b/w P, V and T by
Gas Laws PV= nRT.
8. Avogadro’s Law : At given T and P, the volume of gas
varies directly to the amount of gas . V a n ( P, T constant)
9. Dalton’s Law of partial persure : The pressure enerted by a
mixture of non reacting gases is equal to the sum of their
partial pressure at constant (V,T)
74
P (total ) = P1 + P2 + P3 + ………. (T, V, constant)
10. Kinetic Molecular theory :
a. Gases consist of large number of identical particles
(atoms or molecules) that are so small that the actual
volume of the molecules is negligible in comparison to
the empty space between them.
b. There is no force of attraction between the particles of a
gas at ordinary temperature and pressure
c. Particles of a gas are always in constant and random
motion
d. Pressure is exerted by the gas as a result of collision of
the particles with the walls of the container
e. Collisions of gas molecules are perfectly elastic
f. At any particular time, different particles in the gas have
different speeds and hence different kinetic energies
g. Average kinetic energy of the gas molecules is directly
proportional to the absolute temperature
11. Real Gases : The gases which deviates from Ideal behavior
at higher pressure and low temperature b/c of force of
attraction b/w molecules increases .
12. Compressibility factor (Z) : It determine extent of devation
of real gases from Ideal gas behavior : Z =
. . . T R n
PV
for ideal
gas Z=1, for Nonideal gas Z< 1, Z > 1
13. Vander waal’s Equation : .
2
2
nRT nb V
V
a n
P
14. Critical Temperature : (Tc) The temperature above which a
gas cannot be liquefied whatever high pressure may be
15. Critical Pressure : The minimum pressure required to liquity
a gas at its critical temperature.
16. Critical Volume : The volume of 1 mole of gat at Tc, Pc.
17. Super cooled liquids : The liquids which are cooled to a
temperature below its freezing point without freezing .
75
18. Elastic Collision : The collisions in which no loss of K.E.
only there is transfer of energy.
19. Vapour pressure : The equilibrium pressure by vapour of
liquid in a container at given temperature (T)
20. At higher altitude : The b.p. of water decreases b/c the
atmospheric pressure is less than one atmosphere.
21. Surface Tension (V) : It is force acting per unit length
perpendicular to the line drawn on the surface : (Nm
-1
) : It
decreases with increases in T, it increases with increase in
external pressure, b/c of it falling drops of liquid are
spherical, liquid in capillary tube rises.
22. Viscosity (?) : It is resistance offered to the flow of liquid
due to friction b/w layer of fluids .
dn
dv
A n F . .
23. Effect of T & P on viscosity : It decreases with increase in
T, and increases with increase in P.
24. Low M.P. & B.P. of molecular liquids is due to low
magnitude of molecular interaction energy.
One mark questions
1. At what condition surface tension vanishes ?
2. Why Helium is used in balloons in place of hydrogen?
3. At what temperature below which a gas does not obey ideal
gas law?
4. At what temperature the volume of a gas is supposed to be
zero?
5. What is the molar volume at 0
o
C and 1 bar pressure?
76
6. Name the temperature above which a gas cannot be
liquefied by any amount of pressure.
7. What is the effect of increase of temperature on surface
tension and viscosity in a liquid?
8. How is the partial pressure of a gas in a mixture is related to
the total pressure of the gaseous mixture?
9. Why vegetables are cooked with difficulty at hill station.
10. What is the value of Z (compressibility factor) for an Ideal
gas?
Answers to One mark questions
Ans 1 At critical temperature, meniscus b/w liquid and vapours
disappears.
Ans 2. He is incombustible , though heavier than H
2
.
Ans 3. Below Boyle Temperature.
Ans 4. At absolute zero (O K) temperature.
Ans 5. It 22400 ml.
Ans 6. It is critical temperature (Tc)
Ans 7. Both decreases with increase in temperature
Ans 8. P
1
= X
1
x P
(total)
Ans 9. At hill station the atmospheric pressure is less and so
boiling point decreases.
Ans10. For ideal gas Z=1.
Two Marks Questions
Q.1 How do you convert pressure in atmosphere in to SI unit.
77
Q.2 What type graph will you get when PV is plotted against P
at constant temperature.
Q.3 What would have happened to the gas if the molecular
collisions were not elastic?
Q.4 At a particular temperature, why vapour pressure of acetone
is less than of ether?
Q.5 Why liquids diffuse slowly as compared to gases?
Q.6 What would be the SI unit for quantity ?
. .
2 2
n
T V P
Q.7 In terms of Charle’s law explain why -273
o
C is the lowest
temperature?
Q.8 For real gases the relation b/w P,V,T is given by vander
Waal’s equation, write it for n moles?
Q.9 What correction is applied to obtain pressure of dry gas
with the total pressure & aqueous tension?
Q.10 Name two phenomena that can be explained on the basis
of surface tension.
Answers to two marks questions
Ans 1. 1atm = 101325 Pa or Nm
-2
, 1 bar = 10
5
Pa.
Ans 2 .A straight line parallel to pressure axis.
Ans 3. On every collision there is loss of energy, so molecules
would have slowed down & settled down in vessel and
pressure reduce to O.
Ans 4. b/c molecular force of attraction in acetone is stronger
than those present in ether.
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