Home
Class 11
PHYSICS
The velocity of a nitrogen molecule on t...

The velocity of a nitrogen molecule on the earth surface is equal to its rms speed at `0^@C` IF the molecule moves straights upwards without any collisions with other molecules, determine the height up to which the molecule would rise. The mass of a nitrogen molecule `m=4.65 times 10^-26 kg` and `k=1.38 times 10^-23 J.K^-1`

Text Solution

Verified by Experts

The correct Answer is:
12.4 km
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER(Assertion -reason type)|6 Videos
  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER(Multiple correct answer type)|5 Videos
  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise EXERCISE ( Problem set -II)|9 Videos
  • HYDROSTATICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|1 Videos
  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

Determine the average energy of a gas molecule at 3940 K. R=8.31 times 10^7 erg.mol^-1.K^-1 and N=6.025 times 10^23 .

The mass of one molecule of hydrogen gas is 3.2 times 10^-24 g The root mean square speed of the molecules of another gas is 4 times that of hydrogen molecule at the same temperature.Determine the mass of each molecule of that gas.

At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmsphere? [ Given, mass of oxygen molecule (m) = 2.76xx10^(-26) kg, Boltzmann's constant k_(B) = 1.38 xx 10^(-23) Jcdot K^(-1) ]

Calculate the translational kinetic energy and net kinetic energy of an oxygen molecule at 27^@C , where Avogadro number , N=6.023 times 10^23 and Boltzmann constant k= 1.38 times 10^-23 J.K^-1

What is the de Broglie wavelength of anitrogen molecule at 300 K? Assume the molecule to be moving with its rms speed. [Atomic mass of nitrogen = 14.0076 u ]

At a constant temperature, a vessel of 1 litre capacity contains 10^(23)N_(2) molecules. If the rms velocity of the molecules be 10^(3)m//s , then determine the total kinetic energy of the molecules and the temperature of the gas.

The mean free path of oxygen molecule at NTP is 9.5 times 10^-6 cm What will be the time between two consecutive collisions of an oxygen molecule?( R=8.3 times 10^7 erg.mol^-1.K^-1 )

Find out the temperature at which the rms speed of nitrogen molecules will be equal to the escape velocity from the earth's gravity. Given,mass of a nitrogen atom = 23.24 times 10^-24 g , average radius of the earth=6390 km,g= 980 cm.s^-2 , Boltzman constant =1.37 times 10^-16 erg.^@C^-1

The kinetic energy of a slow moving neutron is 0.04 eV. What fraction of the speed of light is the speed of this neutron ? At what temperature will the average kinetic energy of a gas molecule to equal to the energy of this neutron ? [ mass of neutron : 1.675xx10^(-27) kg , Boltzmann constant, k_B= 1.38xx10^(-23) J.K^(-1) ]

1 mol O_2 at temperature 27^@C at STP (1.01 times 10^5 N/m^2) is kept in a vessel.Find the number of collisions the molecules experience(in SI) per second per unit area with the wall of the vessel. [Given Boltzmann constant k= 1.38 times 10^-23 J//K ]

CHHAYA PUBLICATION-KINETIC THEORY OF GASES-EXERCISE ( Hot Numerical problems)
  1. Calculate the number of molecules is 1cm^3 of an ideal gas at 27^@C. T...

    Text Solution

    |

  2. The mass of one molecule of hydrogen gas is 3.2 times 10^-24 g The roo...

    Text Solution

    |

  3. A dust particle present in air is 10^12 times heavier than a molecule ...

    Text Solution

    |

  4. Estimate the total number of air molecules (inclusive of O2,N2 and wat...

    Text Solution

    |

  5. Calculate the mean free path for the collision of nitrogen molecules a...

    Text Solution

    |

  6. The average kinetic energy of a hydrogen molecule at 0^@C is 5.64 tim...

    Text Solution

    |

  7. The radius of a completely evacuated bulb is 20 cm. The bulb is filled...

    Text Solution

    |

  8. Determine the number of molecules is 20 cm^3 of a gas at 27^@C and 76 ...

    Text Solution

    |

  9. An insulated box containing a mono-atomic gas of molar mass M moving w...

    Text Solution

    |

  10. Given below are densities of some solids and liquids given rough estim...

    Text Solution

    |

  11. Find out the temperature at which the average translational kinetic en...

    Text Solution

    |

  12. Nuclear fusion occurs among deuterium nuclei when the average kinetic ...

    Text Solution

    |

  13. Calculate the translational kinetic energy and net kinetic energy of a...

    Text Solution

    |

  14. A cylinder of volume 10L contains nitrogen gas at 27^@C, and 50 standa...

    Text Solution

    |

  15. The mean free path of oxygen gas molecules at STP is 9.5 times 10^-6 c...

    Text Solution

    |

  16. A gas is equilibrium has uniform density and pressure throughout its v...

    Text Solution

    |

  17. The velocity of a nitrogen molecule on the earth surface is equal to i...

    Text Solution

    |

  18. Two non-reactive monoatomic ideal gases have their atomic masses in th...

    Text Solution

    |

  19. Two mole of ideal helium gas is in a rubber balloon at 30^@C. The ball...

    Text Solution

    |

  20. A closed container of volume 0.02 m^3 contains a mixture of neon and a...

    Text Solution

    |