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The average rotational kinetic energy of...

The average rotational kinetic energy of hydrogen molecule at a temperature `T` is `E`. The average translational kinetic energy of helium at same temperature will be:

A

`(2E)/(3)`

B

`(5E)/(3)`

C

`E`

D

`(3E)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Law of equipartition of energy
`lt KE_(R)gt = 2.(1)/(2)kT = E`
`:. ltKE_(T)gt = 3. (1)/(2)kT`
`ltKE_(T)gt = (3E)/(2)`
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Knowledge Check

  • The average value of rotational kinetic energy of one mole of oxygen gas at temperature T will be

    A
    RT
    B
    `3/2` RT
    C
    `5/2` RT
    D
    `1/2` RT

  • The kinetic energy per molecule of a gas at temperature T is ………… .

    A
    `((3)/(2))` RT
    B
    `((3)/(2))K_(B)T`
    C
    `((2)/(3))R T`
    D
    `((3)/(2)) ((RT)/(M))`

  • The average kinetic energy per mole of hydrogen at given temperature is

    A
    equal of that of oxygen
    B
    16 times that of oxygen
    C
    `1//16` times that of oxygen
    D
    `1//8` times that of oxygen

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