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Calucate the root mean square speed of h...

Calucate the root mean square speed of hydrogen molecules at `373.15 K`.

Text Solution

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The correct Answer is:
A, B
`v_(rms) = sqrt((3RT)/M) = sqrt((3 xx 8.31 xx 373.15)/(2 xx 10^-3))`
= `2156 m//s = 2.15 km//s`.
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Knowledge Check

  • Given molecular weight of hydrogen molecule is M = 2.016xx 10^(-3) kg //mol . Calculate the root mean square speed of hydrogen molecules (H_2) at 373.15K (100^(0)C )

    A
    `2.15 km//s`
    B
    ` 3.25 km//s`
    C
    ` 4.22 km//s`
    D
    ` 1.25 km//s`

  • Given molecular weight of hydrogen molecule is M = 2.016 xx 10^(-3) kg//mol . Calculate the root-mean-square speed of hydrogen molecules (H_(2)) at 373.15 K (100^(@) C) .

    A
    `2.15 m//s`
    B
    `2.15 cm//s`
    C
    `0`
    D
    `2.15 km//s`

  • The root mean square speed of gas molecules

    A
    is same for all gases at the same temperature
    B
    depends on the mass of the gas molecule and its temperature
    C
    is independent of the density and pressure of the gas
    D
    depends only on the temperature and volume of the gas

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    The root mean square speed of the molecules of a gas is

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