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The average thermal energy for a mono-at...

The average thermal energy for a mono-atomic gas is: (`k_B` is Boltzmann constant and T, absolute temperature)

A

` (3)/(2) K_B T `

B

` (5)/(2) K_B T`

C

` (7)/(2) K_BT`

D

` (1)/(2) K_B T`

Text Solution

Verified by Experts

The correct Answer is:
C
Average thermal energy ` = (3)/(2) K_B T `
Since 3 is translational degree of freedom p= 3 (translational degree of freedom)
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Knowledge Check

  • The internal energy of a mono-atomic gas is :

    A
    ` (5RT)/(2)`
    B
    ` (3RT)/(2)`
    C
    ` (5RT)/(3)`
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    B
    `(3RT)/2`
    C
    `(5RT)/3`
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    `(7RT)/3`

  • The de Broglie wavelength of a molecules of thermal energy KT ( K is Boltzmann constant and T is absolute temperture) is given by

    A
    `h/sqrt(2mKT)`
    B
    `h/(2mKT)`
    C
    `hsqrt(2mKT)`
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