Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IHeat & Heat CapacityEasy2 minQB
ChemistryEasysingle choice

If all degree of freedom of a three dimensional N-atomic gaseous molecule is excited, then CP/CV ratio of gas should be

Options:

Answer:
B
Solution:

A non-linear N-atomic molecule has 3 translational, 3 rotational and 3N - 6 vibrational modes. Each vibrational mode carries RT (kinetic + potential). CV = 3/2R + 3/2R + (3N-6)R = (3N-3)R, CP = CV + R = (3N-2)R. γ = (3N-2)/(3N-3) = 1 + 1/(3N-3). Matches (b).

Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Heat & Heat Capacity
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