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*Gas Laws*
Physical Characteristics of Gases
Physical Characteristics Typical Units
Volume, V liters (L)
Pressure, P atmosphere
(1 atm = 1.015x105 N/m2)
Temperature, T Kelvin (K)
Number of atoms or
molecules, n
mole (1 mol = 6.022x1023
atoms or molecules)
 Pressure and volume
are inversely related at
constant temperature.
 PV = K
 As one goes up, the other
goes down.
 P1V1 = P2V2
Boyle’s Law
“Father of Modern Chemistry”
Robert Boyle
Chemist & Natural Philosopher
Listmore, Ireland
January 25, 1627 – December 30, 1690
Boyle’s Law: P1V1 = P2V2
Boyle’s Law: P1V1 = P2V2
 Volume of a gas varies
directly with the absolute
temperature at constant
pressure.
 V = KT
 V1 / T1 = V2 / T2
Charles’ Law
Jacques-Alexandre Charles
Mathematician, Physicist, Inventor
Beaugency, France
November 12, 1746 – April 7, 1823
Charles’ Law: V1/T1 = V2/T2
Charles’ Law: V1/T1 = V2/T2
At constant temperature
and pressure, the volume of
a gas is directly related to
the number of moles.
V = K n
V1 / n1 = V2 / n2
Avogadro’s Law
Amedeo Avogadro
Physicist
Turin, Italy
August 9, 1776 – July 9, 1856
Avogadro’s Law: V1/n1=V2/n2
 At constant volume,
pressure and absolute
temperature are
directly related.
 P = k T
 P1 / T1 = P2 / T2
Gay-Lussac Law
Joseph-Louis Gay-Lussac
Experimentalist
Limoges, France
December 6, 1778 – May 9, 1850
The total pressure in a container
is the sum of the pressure each
gas would exert if it were alone
in the container.
The total pressure is the sum of
the partial pressures.
PTotal = P1 + P2 + P3 + P4 + P5 ...
(For each gas P = nRT/V)
Dalton’s Law
John Dalton
Chemist & Physicist
Eaglesfield, Cumberland, England
September 6, 1766 – July 27, 1844
The Characteristic equation of a perfect gas
The Specific heat Capacities of a gas
The Constant volume heating of a gas
The Constant pressure heating of a gas
The Difference of the Specific heat Capacities of a gas
The Polytropic process and a gas
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
Applied thermodynamics(lecture 4)gas laws
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Applied thermodynamics(lecture 4)gas laws

  • 2. Physical Characteristics of Gases Physical Characteristics Typical Units Volume, V liters (L) Pressure, P atmosphere (1 atm = 1.015x105 N/m2) Temperature, T Kelvin (K) Number of atoms or molecules, n mole (1 mol = 6.022x1023 atoms or molecules)
  • 3.  Pressure and volume are inversely related at constant temperature.  PV = K  As one goes up, the other goes down.  P1V1 = P2V2 Boyle’s Law “Father of Modern Chemistry” Robert Boyle Chemist & Natural Philosopher Listmore, Ireland January 25, 1627 – December 30, 1690
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  • 9.  Volume of a gas varies directly with the absolute temperature at constant pressure.  V = KT  V1 / T1 = V2 / T2 Charles’ Law Jacques-Alexandre Charles Mathematician, Physicist, Inventor Beaugency, France November 12, 1746 – April 7, 1823
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  • 15. At constant temperature and pressure, the volume of a gas is directly related to the number of moles. V = K n V1 / n1 = V2 / n2 Avogadro’s Law Amedeo Avogadro Physicist Turin, Italy August 9, 1776 – July 9, 1856
  • 17.  At constant volume, pressure and absolute temperature are directly related.  P = k T  P1 / T1 = P2 / T2 Gay-Lussac Law Joseph-Louis Gay-Lussac Experimentalist Limoges, France December 6, 1778 – May 9, 1850
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  • 19. The total pressure in a container is the sum of the pressure each gas would exert if it were alone in the container. The total pressure is the sum of the partial pressures. PTotal = P1 + P2 + P3 + P4 + P5 ... (For each gas P = nRT/V) Dalton’s Law John Dalton Chemist & Physicist Eaglesfield, Cumberland, England September 6, 1766 – July 27, 1844
  • 20. The Characteristic equation of a perfect gas
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  • 30. The Specific heat Capacities of a gas
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  • 33. The Constant volume heating of a gas
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  • 39. The Constant pressure heating of a gas
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  • 46. The Difference of the Specific heat Capacities of a gas