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The rms velocity of nitrogen molecule in...

The rms velocity of nitrogen molecule in a cylinder containing nitrogen gas at `17^(@)C` is `5xx10^(12)` m/s. If the diameter of the nitrogen molecule roughly 2.0 `A^(@)` then the time taken for the collision between two nitrogen molecules

A

`2 xx 10^(-13) S`

B

`4 xx 10^(-20) S`

C

`3 xx 10^(-13) S`

D

`1 xx 10^(-13) S`

Text Solution

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The correct Answer is:
B
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Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 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 N_(2) = 28.0 u).

Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 17" "^(@)C . Take the radius of a nitrogen molecule to be roughly 1.0Å . Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of N_(2)=28.0 u).

Knowledge Check

  • In nitrogen molecule, the two atoms of nitrogen are joined by

    A
    One sigma bond and one pi bond
    B
    Two sigma bonds and one pi bond
    C
    One sigma bond and two pi bonds
    D
    Three sigma bonds

  • The number of nitrogen molecules present in lc.c of gas at NTP is

    A
    `2.67xx10^(22)`
    B
    `2.67xx10^(21)`
    C
    `2.67xx10^(20)`
    D
    `2.67xx10^(19)`

  • If the rms velocity of oxygen molecule at certain temperature is 0.5 km/s, the rms velocity for hydrogen molecule at the same temperature will be

    A
    2 km/s
    B
    4 km/s
    C
    9 km/s
    D
    16 km/s

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