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Kinetic Theory Test - 4

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Kinetic Theory Test - 4
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  • Question 1
    1 / -0

    According to the law of equipartition of energy, the total energy is equally distributed in all possible energy modes, with each mode having an average energy equal to

    Solution

    The law of equipartition of energy sates that for any dynamical system in a thermal equilibrium, the total energy is equally divided among the degrees of freedom. The energy associated with a molecule for one degree of freedom is 1/2 kBT

  • Question 2
    1 / -0

    The number of degrees of freedom a diatomic molecule is

    Solution

    Degrees of freedom of a system refers to the possible independent motions a system can have.

    the total degrees of freedom describing the motion of a diatomic molecule is 5.

    3 for translation and 2 for rotation

  • Question 3
    1 / -0

    The number of degrees of freedom a monatomic molecule is

    Solution

    Degrees of freedom of a system refers to the possible independent motions a system can have.

    Monoatomic gas molecule can have 3 independent motion and hence have 3 degrees of freedom (all are translational).

  • Question 4
    1 / -0

    The molar specific heat at constant volume, Cv for monatomic gases is

    Solution

    CV = 1/2 Rf

    for monatomic gases f = 3

    CV = 3/2 R

  • Question 5
    1 / -0

    The molar specific heat at constant volume, Cv for diatomic gases is

    Solution

    CV = 1/2 Rf

    for diatomic gases f = 5

    CV = 5/2 R

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