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Find the average magnitude of linear mom...

Find the average magnitude of linear momentum of a helium molecule in a sample of helium gas at `0^(@)C.` Mass of a helium molecule`=6.64xx10^(-27)kg`and Blotzmann constant `=1.38xx10^(-23) J K^(-1).`

Text Solution

Verified by Experts

`M = 4 xx 10^-3 kg `
` V_avg = (sqrt(8RT))/(sqrt(piM))`
` = (sqrt(8 xx 8.3 xx 273))/(sqrt(3.14 xx 4 xx 10^-3))`
`=1201.35`
Momentum
` =M xx V_avg `
` = 6.64 xx 10^-27 xx 1201.35`
` = 7.97 xx 10 ^24`
` = 8 xx 10^-24kg-m/s`
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Knowledge Check

  • At what temperature will the rms speed of oxygen molecules becomes just sufficient for escaping from the Earth's atmosphere ?(Given : Mass of oxygen molecule (m) = 2.76 xx 10^(-26) kg. Boltzmann's constant K_B= 1.38 xx 10^(-23) JK^(-1))

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    B
    ` 8.360 xx 10^(4)K`
    C
    ` 2.508 xx 10^(4)K`
    D
    ` 1.254 xx 10^(4)K`

  • At what temperature will the particles in a sample of helium gas have an rms speed of 1.0 km//s ?

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    B
    80 K
    C
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    D
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