GAS BEHAVIOUR UNDER
CHANGING CONDITIONS
DR. MAHESWARI JAIKUMAR
maheswarijaikumar2103@gmail.com
GAS BEHAVIOUR
• All gases generally show similar
behaviour when the conditions are
normal.
• When there is a change in physical
conditions like pressure,
temperature or volume these show
a deviation.
GAS LAWS
• Gas laws are laws that analyze the
behaviour of gases under changing
conditions (Temperature, pressure and
volume)
• The variables of state like
the Pressure, Volume and Temperature
of a gas depict its true nature. hence gas
laws are relations between these
variables.
THREE PRIMARY LAWS OF GAS
BEHAVIOUR
• Boyle's Law
• Charles' Law
• Avogadro's Law
• (All laws combine into the
General Gas Equation and Ideal Gas
Law).
TH GAS LAWS & PRESSURE, VOLUME
AND TEMPERATURE RELATIONSHIP
IS AS FOLLOWS:
• Boyle's Law: The Pressure-Volume Law
• Charles' Law: The Temperature-Volume Law
• Gay-Lussac's Law: The Pressure
Temperature Law.
• The Combined Gas Law.
BOYLE’S LAW
• Boyle's law, also referred to as the
Boyle–Mariotte law, or Mariotte's
law, is an experimental gas law that
describes how the pressure of a gas
tends to increase as the volume of
the container decreases.
• This law states that at a constant
temperature, the volume (V) of a
given mass of gas is inversely
proportional to its pressure (p).
• At constant temperature, Boyle’s
law can be stated as
V ∝ 1/P or VP = constant ….(1)
• The constant is a proportionality
constant.
• Its values depend on the mass,
temperature and nature of the gas.
• If P1 and V1 are the initial values of
pressure and volume of any gas and
P2 and V2 are another set of values,
then we can say that
• P₁V₁ = constant …(2) and P2V2 =
constant …(3)
• Since the mass, temperature and
nature of a gas are same
throughout, we say equation (2) and
(3) represent the same quantity.
• Thus we have:
P₁V₁ = P2V2
BOYLE’S LAW
INTERPRETATION OF VALUES
• P1= first pressure
• P2= second pressure
• V1= first volume
• V2= second volume
BOYLE’S LAW -GRAPH
CHARLES’S LAW
• Charles's law is an experimental gas law
that describes how gases tend to
expand when heated.
• A modern statement of Charles's law is:
When the pressure on a sample of a dry
gas is held constant, the Kelvin
temperature and the volume will be in
direct proportion.
• Charle’s law states that at constant
pressure, the volume (V) of a given
mass of gas is directly proportional
to its absolute temperature (T).
• Charles' Law is a special case of
the ideal gas law. It states that the
volume of a fixed mass of a gas is
directly proportional to
the temperature.
• This law applies to ideal gases held
at a constant pressure, where only
the volume and temperature are
allowed to change.
EXPRESSION OF CHARLES’S LAW
• Charles' Law is expressed as:
Vi/Ti = Vf/Tf
where
Vi = initial volume
Ti = initial absolute temperature
Vf = final volume
Tf = final absolute temperature
It is extremely important to remember the
temperatures are absolute
temperatures measured in Kelvin, NOT °C or °F.
• If V is the volume and T is the
temperature of a gas at some
constant pressure, then V ∝ T or V/T
= constant.
• Following the same method as
above, we can write:
V₁/T₁ = V₂/T₂
CHARLE’S LAW
INTERPRETATION OF VALUES
• V1= first volume
• V2= second volume
• T1= first temperature
• T2= second temperature
CHARLE’S LAW GRAPH
GAY-LUSSAC'S LAW
• Gay-Lussac's Law. ... The French
chemist Joseph Gay-Lussac (1778
- 1850) discovered the
relationship between the
pressure of a gas and its absolute
temperature.
• Gay-Lussac's Law states that the
pressure of a given mass of gas
varies directly with the absolute
temperature of the gas, when
the volume is kept constant.
GAY LUSSACS’ OR
REGNAULT’S LAW
This law states that at constant volume
(V), the pressure (P) of a given mass of a
gas is directly proportional to its
absolute temperature (T).
• We can write: P ∝ T or P/T = constant.
Also, we can write:
P₁/T₁ = P₂/T₂
• Gay-Lussac's law states that the
pressure of a given mass of gas varies
directly with the absolute temperature
of the gas, when the volume is kept
constant.
• Mathematically, it can be written
as: {displaystyle {frac {P}{T}}=k}.
GAY LUSSAC’S GRAPH
AVOGADRO’S LAW
• Avogadro’s Law states that equal
volumes of different gases,
under similar conditions of
temperature and pressure,
contain equal number
molecules.
• This means that if you have two
or more different gases, as long
as they have similar conditions
of temperature and pressure,
equal concentrations of these
gases will occupy equal portions
of volume.
STANDARD GAS EQUATION
Gases which obey all gas laws under
all conditions of pressure and
temperature are called perfect gases
or the ideal gases.
• Inert gases kept under high
temperature and very low pressure
behave like ideal gases.
• Equation of state for a perfect gas can
be written as
PV=nRT ............where,
• P = pressure
• V = volume
• T = absolute temperature
• R = universal gas constant = 8.31 J mol-
1 K-1, n = number of moles of a gas
SUMMARY
• Avogadro's law – Relationship between
volume and number of moles of a gas at
constant temperature and pressure.
• Boyle's law – Relationship between pressure
and volume in a gas at constant temperature
• Charles's law – Relationship between volume
and temperature of a gas at constant
pressure
• Combined gas law – Combination of Charles',
Boyle's and Gay-Lussac's gas laws
THANK YOU

GAS BEHAVIOUR & GAS LAWS

  • 1.
    GAS BEHAVIOUR UNDER CHANGINGCONDITIONS DR. MAHESWARI JAIKUMAR [email protected]
  • 2.
    GAS BEHAVIOUR • Allgases generally show similar behaviour when the conditions are normal. • When there is a change in physical conditions like pressure, temperature or volume these show a deviation.
  • 3.
    GAS LAWS • Gaslaws are laws that analyze the behaviour of gases under changing conditions (Temperature, pressure and volume) • The variables of state like the Pressure, Volume and Temperature of a gas depict its true nature. hence gas laws are relations between these variables.
  • 4.
    THREE PRIMARY LAWSOF GAS BEHAVIOUR • Boyle's Law • Charles' Law • Avogadro's Law • (All laws combine into the General Gas Equation and Ideal Gas Law).
  • 5.
    TH GAS LAWS& PRESSURE, VOLUME AND TEMPERATURE RELATIONSHIP IS AS FOLLOWS: • Boyle's Law: The Pressure-Volume Law • Charles' Law: The Temperature-Volume Law • Gay-Lussac's Law: The Pressure Temperature Law. • The Combined Gas Law.
  • 6.
    BOYLE’S LAW • Boyle'slaw, also referred to as the Boyle–Mariotte law, or Mariotte's law, is an experimental gas law that describes how the pressure of a gas tends to increase as the volume of the container decreases.
  • 7.
    • This lawstates that at a constant temperature, the volume (V) of a given mass of gas is inversely proportional to its pressure (p). • At constant temperature, Boyle’s law can be stated as V ∝ 1/P or VP = constant ….(1)
  • 8.
    • The constantis a proportionality constant. • Its values depend on the mass, temperature and nature of the gas. • If P1 and V1 are the initial values of pressure and volume of any gas and P2 and V2 are another set of values, then we can say that • P₁V₁ = constant …(2) and P2V2 = constant …(3)
  • 9.
    • Since themass, temperature and nature of a gas are same throughout, we say equation (2) and (3) represent the same quantity. • Thus we have: P₁V₁ = P2V2
  • 10.
  • 11.
    INTERPRETATION OF VALUES •P1= first pressure • P2= second pressure • V1= first volume • V2= second volume
  • 12.
  • 13.
    CHARLES’S LAW • Charles'slaw is an experimental gas law that describes how gases tend to expand when heated. • A modern statement of Charles's law is: When the pressure on a sample of a dry gas is held constant, the Kelvin temperature and the volume will be in direct proportion.
  • 14.
    • Charle’s lawstates that at constant pressure, the volume (V) of a given mass of gas is directly proportional to its absolute temperature (T).
  • 15.
    • Charles' Lawis a special case of the ideal gas law. It states that the volume of a fixed mass of a gas is directly proportional to the temperature. • This law applies to ideal gases held at a constant pressure, where only the volume and temperature are allowed to change.
  • 16.
    EXPRESSION OF CHARLES’SLAW • Charles' Law is expressed as: Vi/Ti = Vf/Tf where Vi = initial volume Ti = initial absolute temperature Vf = final volume Tf = final absolute temperature It is extremely important to remember the temperatures are absolute temperatures measured in Kelvin, NOT °C or °F.
  • 17.
    • If Vis the volume and T is the temperature of a gas at some constant pressure, then V ∝ T or V/T = constant. • Following the same method as above, we can write: V₁/T₁ = V₂/T₂
  • 18.
  • 19.
    INTERPRETATION OF VALUES •V1= first volume • V2= second volume • T1= first temperature • T2= second temperature
  • 20.
  • 22.
    GAY-LUSSAC'S LAW • Gay-Lussac'sLaw. ... The French chemist Joseph Gay-Lussac (1778 - 1850) discovered the relationship between the pressure of a gas and its absolute temperature.
  • 23.
    • Gay-Lussac's Lawstates that the pressure of a given mass of gas varies directly with the absolute temperature of the gas, when the volume is kept constant.
  • 24.
    GAY LUSSACS’ OR REGNAULT’SLAW This law states that at constant volume (V), the pressure (P) of a given mass of a gas is directly proportional to its absolute temperature (T). • We can write: P ∝ T or P/T = constant. Also, we can write: P₁/T₁ = P₂/T₂
  • 25.
    • Gay-Lussac's lawstates that the pressure of a given mass of gas varies directly with the absolute temperature of the gas, when the volume is kept constant. • Mathematically, it can be written as: {displaystyle {frac {P}{T}}=k}.
  • 28.
  • 29.
    AVOGADRO’S LAW • Avogadro’sLaw states that equal volumes of different gases, under similar conditions of temperature and pressure, contain equal number molecules.
  • 30.
    • This meansthat if you have two or more different gases, as long as they have similar conditions of temperature and pressure, equal concentrations of these gases will occupy equal portions of volume.
  • 31.
    STANDARD GAS EQUATION Gaseswhich obey all gas laws under all conditions of pressure and temperature are called perfect gases or the ideal gases. • Inert gases kept under high temperature and very low pressure behave like ideal gases.
  • 32.
    • Equation ofstate for a perfect gas can be written as PV=nRT ............where, • P = pressure • V = volume • T = absolute temperature • R = universal gas constant = 8.31 J mol- 1 K-1, n = number of moles of a gas
  • 33.
    SUMMARY • Avogadro's law– Relationship between volume and number of moles of a gas at constant temperature and pressure. • Boyle's law – Relationship between pressure and volume in a gas at constant temperature • Charles's law – Relationship between volume and temperature of a gas at constant pressure • Combined gas law – Combination of Charles', Boyle's and Gay-Lussac's gas laws
  • 34.