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If P is the pressure,V the volume,R the ...

If P is the pressure,V the volume,R the gas constant,k the Boltzmann constant and T the absolute temperature,then number of molecules in the given mass of the gas is given

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m is the mass of a molecule, k is he Boltzmann constant,p is the pressure and T is the absolute temperature.The density of the gas is given by?

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Knowledge Check

  • The average thermal energy for 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`

  • The Vander wall equation for 1 mole of a real gas is (P+ (a/V^2))(V-b) =RT where P is the pressure, V is the volume, T is the absolute temperature, R is the molar gas constant and a, b are Vander waal constants. The dimensions of a is the same as those of

    A
    Pv
    B
    `PV^(2)`
    C
    `P^(2)V`
    D
    `P//V`

  • A sample of an ideal gas occupies a volume V at pressure P and absolute temperature T. The masss of each molecule is m, then the density of the gas is

    A
    mKT
    B
    `(Pm)/(KT)`
    C
    `(P)/(km)`
    D
    `(P)/(KT)`

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    The gas equation for n moles of a real gas is (P+(a)/(V^(2)))(V-b) = nRT where P is the pressure, V is the volume, T is the absolute temperature, R is the molar gas constant and a, b are arbitrary constants. Which of the following have the same dimensions as those of PV ?

    If E is the kinetic energy per mole of a gas, and T is the absolute temperature, then the universal gas constant is given by

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