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What is the Boltzmann constant?...

What is the Boltzmann constant?

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The Boltzmann constant `k_B` is a fundamental constant relating the kinetic energy of a molecule with temperature. It is equal to the ratio of the molar gas constant R to the Avogardo constant `N_A`.
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Knowledge Check

  • In a typical combustion engine the work done by a gas molecule is given W=alpha^2betae^((-betax^2)/(kT)) where x is the displacement, k is the Boltzmann constant and T is the temperature. If alpha and beta are constants, dimensions of alpha will be:

    A
    `[MLT^(-2)]`
    B
    `[M^0LT^0]`
    C
    `[M^2LT^(-2)]`
    D
    `[MLT^(-1)]`

  • The workdone by a gas molecule in an isolated system is given by, W = alpha beta^2 e^( - (x^2)/(alpha k T) ) , where x is the displacement, k is the Boltzmann constant and T is the temperature, alpha and beta are constants. Then the dimension of B will be :

    A
    `[ML^2T^(-2)]`
    B
    `[MLT^(-2)]`
    C
    `M^2LT^2]`
    D
    `[M^0LT^0]`

  • If K_B is the Boltzmann constant then the quantity (PV//K_B T) represents the:

    A
    number of molecules of the gas.
    B
    mass of the gas
    C
    number of moles of the gas.
    D
    translational energy of the gas

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