Home
Class 11
PHYSICS
Estimate the mean free path and collisio...

Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2 atm and temperature `17^(@) C`. Take the radius of a nitrogen molecule to be roughly `1.0 Å`. Compare the collision time with the time the molecule moves freely between two successive collisions. (Molecular mass of nitrogen = 28.0 u).

Promotional Banner

Topper's Solved these Questions

  • Kinetic Theory of gases

    SL ARORA|Exercise Example|47 Videos
  • IIT SUPPLEMENT

    SL ARORA|Exercise example|14 Videos
  • Laws of Motion

    SL ARORA|Exercise Exercise|627 Videos

Similar Questions

Explore conceptually related problems

Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2 atm. And temperature 17^(@) . Take the radius of a nitrogen molecule to be roughly 1.0 Å . Compare the collision time with the time molecule moves freely between two successive collisions. (Molecular mass of nitrogen = 28.0 u).

Find the mean free path and collision frequency of a hydrogen molecule in a cylinder containing hydrogen at 3atm and temperature 27^(@)C . Take the radius of a hydrogten molecule to be 1overset(0)A . Given, one atmospheric pressure =1.013xx10^(5)N m^(-2) and molecular mass of hydrogen=2.

Consider a collision between an argon molecule and a nitrogn molecule in a mixture of argon and nitrogen kept at room temperature. Which of the following are possible?

In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies with T as :

Calculate the mean free path of nitogen at 27^(@)C when pressure is 1.0 atm. Given, diameter of nitogen molecule = 1.5 Å, k = 1.38 xx 10^(-23) JK^(-1) . If the average speed of nitrogen molecules is 675 ms^(-1) , find the time taken by the molecule between two successive collsions and the frequency of collisions.

An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature, 300 K.The men time between two successive collosions is 6xx10^(-8) s. If the pressure to 500K , the mean time between two successive collisions will be close to :

The mean free path of a gas molecule at 27^(@)C is 2 cm. If the rms velocity of the gas at that temperature is 10m//s , what is the time interval between two successive collisions?

SL ARORA-Kinetic Theory of gases-Example
  1. Estimate the mean free path and collision frequency of a nitrogen mole...

    Text Solution

    |

  2. A narrow uniform glass tube 80 cm long and open at both ends is half i...

    Text Solution

    |

  3. A gas at 27^@ C in a cylinder has a volume of 4 litre and pressure 100...

    Text Solution

    |

  4. A gas at 27^@ C in a cylinder has a volume of 4 litre and pressure 100...

    Text Solution

    |

  5. As an air bubble rises from the bottom of a lake to the surface, its v...

    Text Solution

    |

  6. Using the ideal gas equation, determine the value of gas constant R. G...

    Text Solution

    |

  7. A balloon partially filled with helium has a volume of 30 m^3, at the ...

    Text Solution

    |

  8. A vessel contains two non-reactive gases neon (monoatomic) and oxygen ...

    Text Solution

    |

  9. A vessel contains two non-reactive gases neon (monoatomic) and oxygen ...

    Text Solution

    |

  10. A closed container of volume 0.02m^(3) contains a mixture of neon and ...

    Text Solution

    |

  11. Calculate the r.m.s. velocity of air molecules at S.T.P. Given density...

    Text Solution

    |

  12. A vessel is filled with a gas at a pressure of 76 cm of mercury at a c...

    Text Solution

    |

  13. Calculate the kinetic energy of one mole of argon at 127^(@)C. Given,B...

    Text Solution

    |

  14. Calculate the KE per molecule and also rms velocity of a gas at 127^(@...

    Text Solution

    |

  15. Calculate the number of molecule in 2 xx 10^(-6)m^(3) of a perfect gas...

    Text Solution

    |

  16. Calculate the root mean square speed of one gram molecule of hydrogen ...

    Text Solution

    |

  17. (a) Calculate (i) root-mean-square speed and (ii) the mean energy of 1...

    Text Solution

    |

  18. Calculate Boltzmann's constent.

    Text Solution

    |

  19. At what temperature will the average velocity of oxygen molecules be s...

    Text Solution

    |

  20. A vessel A contains hydrogen and another vessel B whose volume is twic...

    Text Solution

    |

  21. A vessel A contains hydrogen and another vessel B whose volume is twic...

    Text Solution

    |