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Degrees of Freedom

  1. Dec 10, 2008 #1
    Part A
    Using the equipartition theorem, determine the molar specific heat, C_v, of a gas in which each molecule has s degrees of freedom.
    Express your answer in terms of R and s.

    Okay, I know that the equipartition theorem is 1/2k_B*T

    and molar specific heat is C_v= (1/n)(dU/dT)

    But I don't know where to go from here, please help?

    Part B

    Given the molar specific heat C_v of a gas at constant volume, you can determine the number of degrees of freedom s that are energetically accessible.

    For example, at room temperature cis-2-butene, \rm C_4 H_8, has molar specific heat C_v=70.6\;{\rm \frac{J}{mol \cdot K}}. How many degrees of freedom of cis-2-butene are energetically accessible?
    Express your answer numerically to the nearest integer.
  2. jcsd
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