Chemical Thermodynamics 1.3 - Virial Equation of State
6:25
YouTubeTMP Chem
Chemical Thermodynamics 1.3 - Virial Equation of State
Short physical chemistry lecture on the virial equation of state. The virial equation of state expresses the compressibility factor Z as a taylor series of either inverse molar volume (1/Vbar) or pressure (P). The virial coefficients of the series are determined by the intermolecular interactions of the gas. Notes Slide: http://i.imgur.com ...
73K viewsSep 14, 2016
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#Virial Theorem Applications
Give Virial Theorem. Explain the functions... | Filo
Give Virial Theorem. Explain the functions... | Filo
askfilo.com7 months ago
SOLVED:(a) Prove the three-dimensional virial theorem: 2⟨T⟩=⟨𝐫 ·∇V⟩(for stationary states). Hint: refer to Problem 3.37 . (b) Apply the virial theorem to the case of hydrogen, and show that ⟨T⟩=-En ; ⟨V⟩=2 En. (c) Apply the virial theorem to the three-dimensional harmonic oscillator (Problem 4.46), and show that in this case ⟨T⟩=⟨V⟩=En / 2.
SOLVED:(a) Prove the three-dimensional virial theorem: 2⟨T⟩=⟨𝐫 ·∇V⟩(for stationary states). Hint: refer to Problem 3.37 . (b) Apply the virial theorem to the case of hydrogen, and show that ⟨T⟩=-En ; ⟨V⟩=2 En. (c) Apply the virial theorem to the three-dimensional harmonic oscillator (Problem 4.46), and show that in this case ⟨T⟩=⟨V⟩=En / 2.
numerade.comMay 25, 2020
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