Tuesday, 31 July 2012

5. CRQs and ERQs of Liquid State


Assignments


Videos


Chapter # 05 Important Web site


Caplliary Action


5.2 Viscosity of Liquid


5.2 Viscosity of different liquid


5.2 How to demonstrate surface tension


Notes:Liquid State


States of Mattre II(Liquid State)
S.No
SLO’s




liquid state

Behaviors of Liquids:

                The liquids show the following behaviors or properties by which they are distinguished from other substances.

1. Diffusibility:
               
                Liquids can diffuse into one another, they mix with each other to form a homogeneous mixture e.g. if a drop of ink is added in water it spreads out in all direction, till a homogenous colour mixture is formed. But the rates of diffusion are much lesser than those of gases, because the liquids molecules have inter molecular attraction and are not free to move like gases.

2. Compressibility:
               
                Unlike gases, liquids are normally incompressible. However, at very high pressure the volume of a liquid is reduced very slightly.
This behavior of liquids is due to the close packing of their molecules. The molecules of liquids are so close to each other that the repulsions of electron clouds resist all attempts at bringing tem further closer.

3. Expansion & Contraction:
               
                Some of the liquids show expansion on heating or they show increase in their volumes. The temperature increases the K.E. of the liquid molecules increase due to this they move apart, causing increase in volume or the liquid show expansion.
                On, the other hand on cooling liquids show decrease in their volumes, i.e. the show contraction. It is due to cooling process, where thermal energy of molecules is removed. This causes decrease in Kinetic energy of the molecules and decreases in inter – spaces, and the liquid is contracted.

Viscosity:
                It is common observation that some liquids flow more readily than the other. For example water moves over a glass plate more quickly than glycerine. Similarly, honey and mobil oil flow more slowly than water. Hence, liquids which flow easily are called “MOBILE” & such liquids which do not flow easily are known as “Viscous”. The resistance of a liquid to flow is expressed in terms of viscosity, which may be defined as,
“The internal resistance to the flow of a liquid is called its viscosity”
Viscosity is represented by ‘h’ and its unit is “POLSE”. Normally smaller units “CENTIPOISE” or “MILLIPOISE” are used.
1 POISE =             1 gm/cm
& 1 POISE            =             100 CENTIPOISE
                                =             1000 MILLIPOISE

Explanation:

                Imagine a liquid flowing through a tube and consists of concentric layers. The layers
in contact with the walls of the tube remain almost stationary, whereas the layers in the centre have the highest velocity and the intermediate layers move with a gradation of velocities. Hence each layer exerts a drag on the next layer which causes resistance to the flow.
 


max velocity
 



min velocity
 
 



The liquid whose layers offer more resistance to its flow is more viscous than the liquids whose layer offer less resistance. Therefore glycerine and honey are more viscous than water, ether & alcohol.

Factors affecting Viscosity:
                On the following factors affect the viscosity of a liquid.

a) Molecular Size:
                Viscosity increases with increase in molecular size, because it is difficult for the layer molecules to slide over another and to go from one layer to the other.

b) Molecular Shape:
                An irregular shape of molecules also causes the molecules to offer more resistance than the molecules of regular shape. Thus the                nonlinear molecules have greater viscosity than linear ones.
c) Inter-Molecular Attraction:
                Greater the inter – molecular attraction in a liquid, greater will be force to resist the flow. Thus the viscosity will also be higher.

d) Temperature:
                Viscosities of the liquids decrease with the increasing the temperature and vice-versa. This is due to the increase of average K.E. of the molecules at higher temperature.

Surface Tension:

                “The inter-molecular force that drawn the molecules on the surface of a liquid together causing the surface to act like a thin elastic skin, this phenomenon is called SURFACE TENSION”.                        
OR
“The force per unit length or energy per unit area of the surface of a liquid is called SURFACE TENSION”.
Surface tension of the liquid is represented by  g    OR   s, and its units are dynes / cm   OR      erg / cm2.

Explanation:
               
We consider a molecule ‘A’ at the surface and ‘B’ inside the liquid. The resultant force on ‘B’ is zero, because, it is attracted equally in all direction. On the other hand, molecule ‘A’ is attracted laterally by neighbouring molecules with equal forces. The molecule ‘A’ is also attracted downward at right angle by the molecules underneath it. As there is no liquid on its to balance the downward attractive forces, therefore, therefore the molecules ‘A’ is pulled inside the liquid. A similar pull is also experienced by other molecules on the surface of the liquid. However, the inward movement of these molecules is not possible, because of the lateral forces of neighbouring molecules. This creates a constant tension in the molecules of the surface of the liquid, called “SURFACE TENSION”.
                The surface of liquid thus appears like a stretched membrane. It is so strong that a needle or a shaving blade can float on it.
              
Factors Effecting Surface Tension:
                The surface tension of a liquid depends upon two factors:

a) Inter-Molecular Attraction:
                Stronger the inter-molecular attractive forces, greater is the surface tension, and vise versa. For example, water possesses higher surface tension than most of the organic solvents. This is because of strong inter – molecular forces in water due to hydrogen bonding.


b) Temperature:
                Surface tension of a liquid also depends on temperature, it decreases with the increase of temperature and vise – versa.

Vapours Pressure:

“The Pressure exerted by the vapours of a liquid, in equilibrium state with the pure liquid itself at a given temperature is called VAPOURS PRESSURE” of a liquid”.

Explanation:

Consider a volatile liquid in a closed container. Due to evaporation, the vapours are accumulated in the space above the surface of the liquid. During their motion, vapours lose a part of K.E. and are condensed again. After sometime, the space above the surface of the liquid is saturated with vapours. At this stage the rate of condensation becomes equal to the rate of evaporation. This is called the “Equilibrium State”.
                               
                     Liquid                     Vapours

               
The vapours due to their continuous state of random motion exert pressure on the surface of the liquid. This pressure of vapours at the equilibrium is called “Vapours Pressure”.

Boiling Point:
               
                The vapours pressure of a liquid increases with the increase in its temperature. A certain temperature is reached when the vapours pressure of the liquid becomes equal to the atmospheric pressure. At this temperature, the gas bubbles can be seen coming out of the liquid. It is called the Boiling of the Liquid & the temperature is called Boiling Point, so it can be defined as
“Boiling Point is the temperature at which the vapours pressure of a liquid becomes equal to the atmospheric pressure”.



























\

4. ERQs of Gaseous State


4. CRQs of Gaseous State



Numbericals:
1.               A mixture of Helium and Hydrogen is confined in a 12dm3 flask at 30oC if 0.2 mole of the Helium is present. Find out the partial pressure of each gas where the pressure of mixture of gases is 2atm.
2.        The volume of the Oxygen gas collected over water at 24oC and 762 torr (mm of Hg)
pressure is 128 ml volume. Calculate the mass Oxygen gas
3.        13.2g of gass occupies a volume of 0.918dm3 at 25oC and 8atm pressure. Calculate the molecular mass of the gas
4.        400cm3 of Helium gas take to effuses from a porous container in 20 second. How long will be SO2 gas take to effuses from same container?
5.        A quantity of gas measure 500ml at 35oC and 600mm (Hg).
           What would be the volume of the as at 45oC and 800mm (Hg)?
6 .       1.4dm3 volume of gas measure at temperature of 27oC. and pressure 900 torr was
found to a mass of gas 2.273g. Calculate the molecular mass of gas.
Three container of equal volume are filled as follows.
                      a)2 mole of H2 gas at 0oC      b)1 mole of N2 gas at 273 K    c) 3 mole of O2 gas at 27oC
7.         Calculate the molecular mass of a gas whose rate of diffuse in twice of that of CH4
8.         380 cm3 of hydrogen gas was collected over water at 23oC and 613 torr: find the volume of dry hydrogen at S.T.P. (vapour pressure of water at 23oC is 21 torr.)
9.         What is the volume of 2.5 mole of N2  gas at S.T.P.?
10.       State the Dalton’s law of partial pressure. A mixture of .2 mole of gas “A” and 1.1 gm of anther gas “”B” (mol. Mass = 44) exerts a pressure of 750 torr: calculate the partial pressure of the two gases.
11.       A 500cm3 vessel contains H2 gas at 400 torr and another 1.0dmVessel contains O2 gas at 600 torr. If these gases are transferred to 2dm3 empty vessel, calculate the total pressure of the mixture of the gases.
12.       A given mass of a gas occupies 76 cm3 at 16oC and 760 torr pressure; calculate its volume at S.T.P.
13.       A 100 cm3 gas, cylinder filled with chlorine under 160 torr pressure is connected     by stop-cock with another cylinder of 400 cm3 filled with nitrogen under pressure            of 200 torr. What will be the total pressure when stop cock is opened?

Assignments


Hand out #4.1.2
Q. 1Draw the plot from following data
Pressure (atm)
0.2
0.25
0.40
0.60
0.80
1.0
Volume (dm3)
112
89.2
56.25
37.40
28.1
22.4

(a)volume against pressure         (b)volume against inverse of pressure (1/p)  
Q.2 weather balloon has a volume of 175 dm3 when filled with hydrogen at pressure of 1.00 atm. Calculate the volume of the balloon where it rise to a height of 2000 m ‘where the atmospheric pressure is 0.800atm .Assume that the temperature is constant.   
Q.3 What is the volume of given mass of hydrogen at a pressure of 2.50 atm , if it is  volume is 3.15 dm3 at 1.00 atm
Q.4 A sample of oxygen has a volume of 880 ml and pressure of 740 torr .What addition pressure is required to reduce the volume to 440ml
Hand out # 4.2.1
  Q. 1Draw the plot  Volume and Absolute temperature  from following data
Temperature (K)
135
200
270
395
450
540
Volume (dm3)
250
372
500
731
838
1000

Q.2 A sample of helium of gas has volume of 520 cm3 at 373k . Calculate  the temperature  at which the volume will become 260 cm3 at constant pressure .
Q.3 A mass of Neon occupies 200cm3 at 100oC .Find its volume at 0oC the pressure    remain constant .
Q.4 Anesthetic gas is normally given a patients when the room temperature  is 20 oC  and the patient s body temperature is  37o C. What   would this temperature change do to 1600ml of gas at constant  pressure and mass remain constant.
Q.5 What will be the volume at 450K of a gas which occupies 200cm3 at 300K the pressure remaining constant throughout.  
Q.6 A sample of oxygen gas occupies 250 cm3at 300K.What volumes it will occupy at 35oC if there is no change in pressure. 
Hand out 4.4.1
Q.1 What is the final volume of one mole of nitrogen initially at S.T.P. If it is subjected to pressure of 2 atm and heated to a temperature   of 546 K
Q.2   7.0  gram of a gas at 300K and one atmospheric pressure occupies a volume of 4.1 dm3.What is molecular mass of gas .
Q.3 10.0 gram of oxygen gas are introduced in a vessel of 5 dm3 capacity at 27oC.Calculate pressure of the gas in atmospheric pressure in the container.
Q.4 Two gas bulbs of the same size are mantainated  at same temperature .bulb “A “contain Carbon dioxide and bulb “B” Contain an equal mass of ethane .
(a)What is the ratio of the number of molecules in the bulbs?
(b) What is the ratio of the pressures in the bulbs?
Q.5 A sample of nitrogen gas occupies a volume of 1.0 dm3 at pressure of 0.5 atm at 40oC .Calculate the pressure if the gas compressed to 0.225 cm3 at -6oC.  
Reff. ISC  Chemistry FOR CLASS XI VOLUME I                                                                       
By K.L.CHUGH (Dep’t. Of chemistry ,Arya college LUDHIANA)
KALYANI PUBLISHERS

Chapter # 04 Important Web site

Videos


4.3.1


4.2.1


4.1.7


4.1.6


4.1.5


4.1.4


4.1.3


4.1.2 Boyle's Law


4.1.1 Boyle's Law


Notes of Chapter # 04


SLOs
Topic


4.1

Kinetic Molecular Theory:                                              

            This Theory describes the behavior of different stats of matter. However it is a best model for an ideal gas. So, it is also called kinetic molecular theory of gases.
The main postulates of this theory are as given below:   
Postulates:
1)      Gases are composed of a large number of particles that behave like hard, spherical  objects in a state of constant, random motion.
2)      These particles move in a straight line until they collide with another particle or the walls of the container.
3)      These particles are much smaller than the distance between particles. Most of the volume of a gas is therefore empty space.
4)      There is no force of attraction between gas particles or between the particles and the walls of the container.
5)      Collisions between gas particles or collisions with the walls of the container are perfectly elastic. None of the energy of a gas particle is lost when it collides with another particle or with the walls of the container.
6)      The average kinetic energy of a collection of gas particles depends on the temperature of the gas and nothing else.
7)      Gases exert pressure  which the result of collision of molecule of gas to the walls of container   



4.1.2
GAS LAW:   

The gases have volume, pressure, temperature etc. All these quantity are related to one and another according to some statement, called “The gas laws”.. some of the important gas laws are as follow:
ü   Boyle’s law.
ü   Charle’s law.
ü   Avogadro’s law.
ü   Graham’s law of diffusion.
ü   Dalton’s law of partial pressure.

Boyle’s Law:
            Robert Boyle, in 1662, showed the relationship between the pressure and the volume of a gas at constant temperature. This is called “BOYLE’S LAW.”
Statement 1:
            According to the Boyle’s law
“At constant temperature, the volume of a given mass of gas is inversely proportional to the pressure applied on it.”
Explanation:
            It means that the increase in pressure would result in a decrease of volume of a gas, similarly the decrease in pressured result in the increase in the volume.
Simply we can say, if the pressure is doubled, the volume becomes half and if the pressure is reduce to half, the volume becomes double.       
Mathematic Expression:
Mathematically, Boyle’s law can be expressed
 as  (at constant temperature)
                ð P x V =K
            Where K = proportionality constant.
This equation gives another statement Boyle’s law, which is as under:
Statement 2:
“At constant temperature, the product of pressure and a volume of a given mass of a gas is always constant.”
Therefore; if
P1 & V1 are initial pressure & volume, &
P2 & V2 are changed pressure & volume,
Then                            P1V1=P2VThis is called “Boyle’s law equation
Graphical Representation:
            When pressure’ P’ of a given mass of a gas is plotted against it’s volume ‘V’, a parabolic curve is obtained, showing the decrease in volume in increasing temperature.  On the contrary, when pressure ‘P’ of a given mass oa a gas is plotted against reciprocal pf volume i.e.  a straight line is obtained. This confirms the direct relationship between ‘P’ and ‘’.
Limitations of Boyle’s law: This law is not obeyed by gases under conditions of high pressure & law temperature.
CHARLE’S LAW:
            In 1787, a French physicist, Charles’s showed the relationship between the volume of a given mass of a gas and it’s temperature at a constant pressure. This law is called Charles’s law
STATEMENT # 1:                                      
            According to this law:
“At constant pressure, the volume of a given mass of a gas is directly proportional to the absolute    temperature.”
EXPLAINATION:
            It means, if the pressure is kept constant, the increase in temperature would result also in increase the volume of a given mass of a gas. Similarly, the decrease in temperature results also in decrease in the volume of a gas.
MATHEMATICAL EXPRESSION:
                        Mathematically, Charle’s law can be expressed as:
VaT    (At. Constant Pressure)
OR      V=KT      OR 
This expression gives another statement of Charle’s law, which is as under.
STATEMENT#2:
“At constant pressure, the ratio of volume to the absolute temperature of given mass of a gas is always constant.”
Therefore; if
V1&T1 are initial volume & temperature & V2 &T2 are changed volume & temperature.
Then
This is called “CHARLES’S law equation.”
EXPERIMENTAL VERIFICATION:
            Consider a gas cylinder fitted with a move able piston. The volume of the gas enclosed in the cylinder is V1 at temp. T1 . When the gas is heated to T2, its volume is increase to V2 by moving the piston upward. It the pressure on the piston is kept constant, then it is observed that the ratio between V1 andT1 is equal to the ratio V2 and T2.i.e.                                                                 
This verifies the Charle’s law.

                                   
 




               
           
    -300    -200      -100             0                      100         200        300

GRAHAM’S LAW OF DIFFUSION:
            Diffusion is the natural process by which gases intermix with one another to form a homogenous mixture.
In 1833, Graham established a relation ship between the rate of diffusion of gases and their densities which is terms as “Gaham’s law of diffusion”.
STATEMENT:
            According to this law,
“The rates of diffusion of gases are inversely proportional to the square root of their densities under same condition of temperature and pressure”.
MATHEMATICAL Expression:
            Mathematically, graham’s law can be expressed as:
OR                 
            Where  r = rate of diffusion of gas,
                        d= density of gas,
                        K= Proportionality constant.
            Suppose two gases with densities d1 & d2, diffuse into each other. If the rate of diffusion of the gases are r1 & r­2 respectively, then according to graham’s law:
            For gas 1,       
&         For gas 2,       
By combining the two equations, we get
            Since the density of a gas is proportional to its molecular mass, so Graham’s law may also be expressed as:
Experimental Verification:
            Take a 100 cm long glass tube. Plug one end of it with a piece of cotton soaked in NH3 solution and the other with a piece of cotton soaked in HCl solution as shown in the diagram.
            The vapours of NH3 and HCl escape into the glass tube simultaneously. A white ring of NH4Cl appears at the meeting point of the two gases. Measure out the distance of te white ring from two ends.
Suppose, the distance covered by NH3 = 60 cm
& the distance covered by HCl = 40 cm
Since the time ‘t’ is the same, therefore The rate of diffusion of NH3 gas =
& the rate of diffusion of HCl gas =
\ Molecular Mass of NH3 = = 17
& Molecular Mass of HCl = = 36.5
\ According to Graham’s law of diffusion,
1.5       =          1.5
Since L.H.S. = R.H.S., therefore Graham’s law of diffusion of gases is verified.
Dalton’s Law of Partial Pressure:
            The behavior observed, when two or more gases are placed in same container is summarize in Dalton’s Law of Partial Pressure.
Statement:                  In 1801, Dalton’s found that
            “The total pressure of a gaseous mixture is the sum of the
             partial pressure, exerted by each of the gases present in
                   the mixture”.
Mathematical Expression:
            Mathematically this law can be expressed as,
P = P1 + P2 + P3 + ………………
Where P          = Total pressure of gaseous mixture
                        P1         = Partial Pressure of gas 1.
                        P2         = Partial Pressure of gas 2.
                        P3         = Partial Pressure of gas 3.
Explanation:
            When two or more gases which do not react chemically, are mixed in the same container, then each gas will exert the same pressure as it would exert if it alone occupied the volume containing the mixed gases, under the same condition. This portion of the total pressure of a mixture is known as PARTIAL PRESSURE. Dalton observed that the total pressure of a mixture of different gases is always equal to the sum of individual or partial pressure of each gas present in a mixture.
Experimental Verification:
            Let us suppose that two different gases A & B are confined in two separate compartments as shown, in the figure. Both the compartments are of same size with a pressure measuring device.
Now suppose that the pressure of a gas is ‘A’ is 800 torr and that of gas ‘B’ is 900 torr in their separate compartments. If gas ‘A’ was transferred into the compartment ‘B’ with the help of a movable piston through the total pressure in this compartment would be the sum of the original pressure in the two compartments when the gases were occupying same volume separately.
i.e.       Ptotal     =          PA        +          PB
            1700    =          800      +          900
            1700    =          1700
Hence, law is verified.


4.1.3
KMT EXPLAINATION FOR BOYLE’S LAW  
Boyle’s law can easily be explained on the basis of the kinetic theory of gases, when the volume of a given amount of a gas is decrease, there is more crowding of the molecules in that space. This result in more frequent collision between the molecules and the walls of the container and thus the pressure of the gas is increased and vise-versa.
Limitations of Boyle’s law: This law is not obeyed by gases under conditions of high pressure & law temperature.
KMT EXPLAINATION FOR CHARLES’ LAW
            This law can be easily explained with the help of Kinetic molecular theory as:
An increase in temperature increases the K.E. of gas molecules which results in their more collision per second against the walls of the container. But if the pressure is kept constant the extra force of the colliding molecules is utilized for the expansion of gas, i.e. increase in volume.
KMT EXPLAINATION FOR AVOGADRO ‘S LAW
            It means that, if we take different sample of different gases at same temperature and pressure, then if the volume of each gas sample is equal, the no. of molecules of each sample will be also equal evidently, if we increase the volume of gas sample, the no, of molecules will be also increase.
            Avogadro’s also found that at the some condition of temperature and pressure, the one mole  of any gas occupies always 22.4dm3 volume, this volume is called molar gas volume. Also, this volume contain always constant no. of particles of gas, and its value is 6.02 x 1023. This value is called Avagadro’s number.












4.2.1
Charles’s law can also be explained by graphical method, if the volume of the given mass of a gas is plotted against its absolute temperature values at a constant pressure, a straight line is obtained, showing the direct relationship between ‘V’ and ’T’.
If the straight line is extra plotted it intercepts the temperature axis at -273.16oC. This temperature is called “ABSOLUTE ZERO”.
ABSOLUTE ZERO:
            It is a hypothetical temperature, at which the volume of all gases become zero. Its value is -273.16oC.This temperature can never be achieved.
The scale on which -273.16oC is taken as zero is called “KELVIN SCALE” and is indicated by K. Centigrade is related to Kelvin scale as;
oK = oC + 273


4.2.2
NUMBERICAL


4.3.1
AVAGADRO’S LAW:
            In 1811, Amadeo Avagadro stated the relation ship between the volume and the no. of molecules of the gas. This is called “AVAGADRO’S LAW”.
Statement:
            According to Avogadro’s law;“The Volume of a gas is directly proportional to the number of molecules of the gas at constant temperature & pressure”.
Explanation:
            It means that, if we take different sample of different gases at same temperature and pressure, then if the volume of each gas sample is equal, the no. of molecules of each sample will be also equal evidently, if we increase the volume of gas sample, the no, of molecules will be also increase.
            Avogadro’s also found that at the some condition of temperature and pressure, the one mole  of any gas occupies always 22.4dm3 volume, this volume is called molar gas volume. Also, this volume contain always constant no. of particles of gas, and its value is 6.02 x 1023. This value is called Avagadro’s number.
Mathematical Expression:
            Mathematically, Avogadro’s law can be written as,
V µ n
OR V = K n
Where n= no. of molecules of gas




4.4.1
General Gas Equation:
            Boyle’s law, Charles law and Avogadro’s law may be combined together to give a general relation between the pressure, volume, temperature and no. of moles of a gas. This relationship is called “General Gas Equation”
            According to Boyle’s law      
            According to Charle’s law      V µ T
On combining these three laws. We get 
OR     
OR      PV= nRT
            This expression is called ‘GENERAL GAS EQUATION’. Where ‘R’ is a proportionally constant and is called gas constant.
For 1mole of a gas, n=1.
\PV=RT


4.4.2
When the temperature of a gas changes from T1 to T2, then its volume as well as pressure changes from V1 to V2 and P1 to P2.    
            \ For initial state:
                        & For final state:
Combine these two, we have
            This relationship is used to solve problems regarding changes of volume of gases, due to the changes in the pressure & temperature.
VALUES & UNIT’S OF ‘R’:
(a)                           According to Avagadro’s law, at S.T.P the one mole of any gas occupies a volume of 22.4dm3.
i.e.       T=0˚C=273oK ,           P=1atm.,          n=1mole  and V=22.4dm3
            Then the value and unit of gas constant will be;
(b)                           When ‘P’ is expressed in and volume ‘V’ in m3,then at                  S.T.P,
                        P=101300 ,V=0.0224m3           , n=1mol.  And             T=273oK.
                        Then the value and unit of gas constant will be.
\
R = 8.314 N.m / mole x K
R = 8.314 J/mole x K



4.4.3

U

4.4.4

A
4.5
4.5.1
 Deviations from ideal behavior
Ideal gas : a gas which obeys the general gas equation and other gas laws under all conditions of temperature and pressure is known as Ideal gas or perfect gas.
The molecules of an ideal gas :
(i)                 Occupy negligible or no volume
(ii)               Have no inter-molecular attractive forces.
Real gas : a gas which does not obeys  general gas equation and all other gas laws strictly but tends towards ideality at low pressure and high temperature is knonw as real gas .

Ideal gas
Real gas
1
It obeys gas laws (PV=nRT)under all conditions of temperature and pressure .
It  obeys gas laws at high temperature and low  pressure .
2
It does not exist in actual practice. Gases like N2 ,H2, etc. which cannot liquefied easily are nearly ideal. 
All gases are real gases.
3
Volume occupied by a gas molecule is negligible as compared to the total volume of gas .
Volume  occupied by molecules of   gas negligible .
4
Attractive forces between gas molecules are negligible 
Attractive forces between gas molecules are appreciable due to which pressure exerted is less than that calculated from gas laws. 
    
Cause of deviations from ideal behavior
In order  to explain deviations from ideal behavior ,Vander waal pointed out that the following two assumptions in kinetic theory are faulty.
(i)                 The volume occupied by the gas molecules themselves is negligible as compared to total volume of the gas
The above assumption is nearly valid if the pressure is low .At low pressure ,the gas molecules are widely separated  and the free space between the molecules is very large in comparison to the actual volume of molecules of the gas. Under such condition, the volume of the gas molecules can be neglected in comparison to the total volume. At the high pressure, the molecules of gas are relatively closed together and the total volume is significantly less . However  the actual volume of the gas  molecules remains unchanged because the gas molecules are incompressible. Under these conditions, the volume of  a real gas is larger than that for an ideal gas.
(ii)               The molecules of a gas exert no appreciable attraction upon each other .
This assumption is nearly valid when the pressure is low and the temperature is high so that  the molecules are far away from each other . if the pressure is high and the temperature is low , the volume of the gas decrease .Gas molecules come closer to each other .The attractive force between  the gas molecules under these conditions are quite appreciable and can not neglected .   
Reff. ISC  Chemistry FOR CLASS XI VOLUME I                                          
By K.L.CHUGH (Deptt. Of chemistry ,Arya college LUDHIANA)
KALYANI PUBLISHERS

   
      

U
4.5.2
Numerical for ideal equation

4.6
4.6.1





4.7



4.8
4.8.1
Plasma state
Plasma is often called the “Fourth State of Matter”, the other three being solid, liquid and gas. Plasma was identified by English Scientist William Crookes in 1879. In addition to being important in many aspects of our daily life , plasma are estimated to constitute more than 99 percent of visible universe. Although, naturally occurring plasma is rare on Earth, there are many men –made examples.    
                Inventors have used plasma to conduct electricity in neon signs and fluorescent bulbs .Scientists has constructed special chambers to experiment with plasma in laboratories. It occurs only in lighting discharges and in artificial devices like fluorescent lights neon signs etc. It is everywhere in our space environment.   
                When more heat is supplied, the atoms or molecules may be ionized. An electron may gain enough energy to escape its atom. This atom loses one electron and develops a net positive  charge ,It become an ion .In a sufficiently heated gas, ionization happens many times ,creating clouds of free electron an ions .However, all the atoms are not necessarily ionized ,and some of them may remain completely intact with no net charge.    
This ionized gas mixture, consisting of ion, electron and neutral atoms is called PLASMA.
It means that a plasma is distinct  state of matter containing a significant number of  electrical charged particle a number of electric
Reference from:  Topic # 3.11 Page #73 of  Chemistry 11 PUNJAB  TEXTBOOK BOARD,LAHORE