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NEET Physics Notes Mechanics-Behaviour of Perfect Gas and KineticTheory- Concept of Pressure

NEET Physics Notes Mechanics-Behaviour of Perfect Gas and Kinetic-Theory Concept of Pressure

Concept of Pressure

Concept of Pressure

Pressure p exerted by a perfect gas on the walls of container is given by
NEET Physics Notes Mechanics-Behaviour of Perfect Gas and KineticTheory- Concept of Pressure 1
Here, m = mass of each molecule,NEET Physics Notes Mechanics-Behaviour of Perfect Gas and KineticTheory- Concept of Pressure 2= root mean square velocity of molecules, ρ= density of gas, M = mass of gas enclosed in volume V of container, and E = Total KE of the ideal gas.
Various Speeds of Gas Molecules

  • Root mean square speed It is defined as the square root of mean of squares of the speed of different molecules
    NEET Physics Notes Mechanics-Behaviour of Perfect Gas and KineticTheory- Concept of Pressure 3
  • Most probable speed It is defined as the speed which is possessed by maximum fraction of total number of molecules of the gas.
    NEET Physics Notes Mechanics-Behaviour of Perfect Gas and KineticTheory- Concept of Pressure 4
  • Average speed It is the arithmetic mean of the speeds of molecules in a gas at given temperature.
    NEET Physics Notes Mechanics-Behaviour of Perfect Gas and KineticTheory- Concept of Pressure 5

Degree of Freedom (f)

The term degree of freedom of a system refers to the possible independent motions, system can have

  • for monoatomic gas, (f) = 3
  •  for diatomic gas, (f) = 5
  •  for triatomic gas, (f ) = 6(non-linear)
  •  for triatomic (linear) gas, (f) = 7
  •  for N-atomic molecule (f) = 6N – 3
  •  for N-atomic linear molecule (f) = 6N – 5

 

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