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At certain pressure and 127^(@)C tempera...

At certain pressure and `127^(@)C` temperature the mean kinetic energy of hydrogen molecules is `8 xx 10^(-12)J`. (Mass of hydrogen atom `=1.7 xx 10^(-27)kg` & atomic weight of nitrogen =14). Then
Root mean square speed of hydrogen molecule at `27^(@)C` is

A

`0.88 xx 10^(4) "m/sec"`

B

`1.88 xx 10^(4) "m/sec"`

C

`1.88 xx 10^(3) "m/sec"`

D

`2.88 xx 10^(3) "m/sec"`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • At certain pressure and 127^(@)C temperature the mean kinetic energy of hydrogen molecules is 8 xx 10^(-12)J . (Mass of hydrogen atom =1.7 xx 10^(-27)kg & atomic weight of nitrogen =14). Then The rms speed of nitrogen molecules at 27^@C is

    A
    `5.02 xx 10^(2)" m/sec"`
    B
    `5.02 xx 10^(4)" m/sec"`
    C
    `2.51 xx 10^(2)" m/sec"`
    D
    `2.51 xx 10^(3)" m/sec"`

  • At the same temperature, the mean kinetic energies of the molecules of hydrogen and oxygen are in the ratio

    A
    `1 : 16`
    B
    `8 : 1`
    C
    `16 : 1`
    D
    `1 : 1`

  • At what temperature will hydrogen molecules have the same root mean square speed as nitrogen molecules at 27^(@)C ?

    A
    `21.43^(@)C`
    B
    `42.86K`
    C
    `21.43K`
    D
    `42.86^(@)C`