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At what temperature will the R.M.S. velo...

At what temperature will the R.M.S. velocity of a gas be double its value at N.T.P.?

A

`273^(@)C`

B

`546^(@)C`

C

`819^(@)C`

D

`1092^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
`C_(2)=2C_(1)`
`(C_(2))/(C_(1))=sqrt((T_(2))/(T_(1)))`
`(2C_(1))/(C_(1))=sqrt((T_(2))/(T_(1)))`
`4=(T_(2))/(T_(1))`
`T_(2)=4xx273=1092K`
`T_(2)=1092-273`
`=819C`.
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Knowledge Check

  • Pressure remaining constant, at what temperature will the r.m.s. velocity of a gas be half of its value at O °C?

    A
    `0^(@)C`
    B
    `32^(@)C`
    C
    `-273^(@)C`
    D
    `-204^(@)C`

  • At what temperature will the r.m.s. velocity of a gas be half its value at 0^(@)C ?

    A
    `-68.25^(@)C`
    B
    `-204.75^(@)C`
    C
    `-34.25^(@)C`
    D
    `-238.75^(@)C`

  • At what temperature, will R.M.S . velocity of hydrogen be four times of its value at N. T .P.?

    A
    `819^(@)C`
    B
    `4368^(@)C`
    C
    `1092^(@)C`
    D
    `4095^(@)C`

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