For the non-linear triatomic molecule FNO, the average vibrational energy per molecule between 280 K and 320 K is given roughly by the equation
where a = 33.71 K, b = 0.630, c = 0.00232 K-1 , and T0 = 222.2 K. his includes all of the vibrational modes. Find the total molar heat capacity CPm of FNO at 298 K, assuming the sample otherwise behaves like an ideal gas. 7.75 In some cases, we need to go back to treating certain degrees of freedom as individual quantized energy levels. his problem steps through one example. a. Show that a general equation for the heat capacity CV may be written as
b. Use this equation to calculate the contribution to the molar heat capacity from rotations in H2 (gas) at 298 K. An accurate result will take the H2 nuclear spin statistics into account (Section 4.4).
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c. Add in the other expected contributions to predict the molar heat capacity at constant pressure for H2 (gas). How does it compare to the equipartition value of 7R>2 and to the actual value of 28.824 J K-1 mol-1 ?