It is possible to approximate the rotational partition function for diatomic molecules by replacing the infinite sum over states with an integral. Why might this be less accurate for H₂? OH₂ has a smaller mass so its rotational constant will be very small. OH₂ has a very high vibrational frequency so the spacings between its energy levels will be large. O the moment of inertia for H₂ is OH₂ has a shorter bond length so its rotational constant will be very small. the integral diverges for smaller-sized diatomic molecules.

It is possible to approximate the rotational partition function for diatomic molecules by replacing the infinite sum over states with an integral. Why might this be less accurate for H₂? OH₂ has a smaller mass so its rotational constant will be very small. OH₂ has a very high vibrational frequency so the spacings between its energy levels will be large. O the moment of inertia for H₂ is OH₂ has a shorter bond length so its rotational constant will be very small. the integral diverges for smaller-sized diatomic molecules.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

Consider the 'H3°CI molecule. Assume that the vibrational motion of the molecule can be modeled as a harmonic ocillator with a force constant 480 N/m. The molecule is originally in its N3D4 excited vibrational state and transitions to the ground vibrational state, emitting a photon. Now consider an identical molecule, but where the hydrogen is replaced by Tritium (H). If this new molecule undergoes the same transition as H35CI, calculate the magnitude of the energy difference between the energies of the emitted photons. Enter your final answer of the energy difference in eV (enter your final answer as a positive number).
1. What is the theorem of "equipartition of energy" in classical statistical mechanics? Based on this theorem, derive the internal energies for monatomic, diatomic and triatomic (both linear and nonlinear) ideal gases.
The four lowest electronic levels of a Ti atom are: J = 2, 3, 4 and 1, at 0, 170, 387 and 6557 cm-1, respectively. There a many other electronic states at higher energies. The boiling point of Ti is 3287 oC. What are the relative populations of these levels at the boiling point if the degeneracy of levels is 2J + 1? Is the ground state most highly populated level?
Consider the rotational temperatures of the following hetero diatomic molecules: θr(CO) = 2.1 K, θr(HF) = 30.2 K. In which case would the classical approximation be accurate? Justify your answer.
For all three of your assigned systems (Ne, Oxygen, Nitrous oxide), calculate the complete partition function (assuming a perfect gas) at T, = 2.00 and e, = 0.0500. Information on the symmetry number for your polyatomic molecules is posted in a table under the Reference section in the Content Library The symmetry number for rotational partition functions. Homonuclear diatomics: o=2 Heteronuclear diatomics: o=1 Polyatomics: Name Nitrous oxide 1
Q 1. Use the equipartition principle to estimate the value of γ = Cpm/CVm for gaseous CH3COOH. Do this calculation WITH the vibrational contribution to the energy.
Plot the temperature dependence of the vibrational contribution to the molecular partition function for several values of the vibrational wavenumber. Estimate from your plots the temperature at which the partition function falls to within 10 per cent of the value expected at the high-temperature limit.
The force constant of 79Br79Br is 240 N.m−1 . Calculate the fundamental vibrational frequency and the zero-point energy of 79Br79Br.
rotational-vibrational spectrum 2700 Consider the of a diatomic molecule. Intensity 0 2400 2500 2600 (cm³) Estimate the value of the rotational constant B. O a. 30 cm ¹¹ O b. 9 cm-1 O c. 18 cm 1 O d. 23 cm ¹ O e. 12 cm ¹¹ B O m
For a specific molecule the ground state is nondegenerate while the first excited state is doubly degenerate. The excited state is removed from the ground state by 380 cm-1. What must the temperature of the system be for i) 25% and ii) 45% of the molecule to be in the first excited state?
Calculate the vibrational and rotational temperatures (Ovib and Orot) for the diatomic molecular Lithium Hydride (LiH). The Li-H bond length is 0.1595 nm and the vibrational frequency (VL¡H) is 1405 cm'.
What is overall molecular partition function Q, and how it is constructed using the partition functions for each energetic degree of freedom?