Why experimental value of molar heat capacity differ from theoratical value?
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❤️❤️You don't say whether your analysis includes rotational modes. I assume it does otherwise the disagreement between experiment and the ideal gas specific heat would be profound. A linear molecule will have two rotational modes, each adding 12R, so the specific heat (excluding vibration) will be Cp=72R.
Anyhow, hydrogen has quite a high rotational constant of B=60.85cm−1. The spacing between rotational energy levels is 2B, 4B, 6B etc. If we take 4B and convert this to an energy we get about 4.8×10−21 J. If we take this equal to kT and divide by k we get a temperature of about 350K, so at room temperature the rotational degrees of freedom aren't fully populated. That's why Cp for hydrogen is less than 72R, though actually it's only slightly less.❤️❤️
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