NO is a well-known example of a molecular system in which excited electronic energy levels are readily accessible at room temperature. Both the ground and excited electronic states are doubly degenerate and are separated by 121.1 cm¬1. (Note: the Boltzmann constant k = 1.38 × 10¬4 J.s, speed of the light c = 3.00 · 1010 cm · s-1 the Planck constant h = 6.626 - 10¬34 J.s). Part A Evaluate the electronic partition function for this molecule at 373 K . Express the electronic partition function to three significant figures. ? qE = Submit Request Answer Part B Determine the temperature at which qɛ = 3. Express the temperature in kelvins to three significant figures. ? T = K Submit Request Answer

NO is a well-known example of a molecular system in which excited electronic energy levels are readily accessible at room temperature. Both the ground and excited electronic states are doubly degenerate and are separated by 121.1 cm¬1. (Note: the Boltzmann constant k = 1.38 × 10¬4 J.s, speed of the light c = 3.00 · 1010 cm · s-1 the Planck constant h = 6.626 - 10¬34 J.s). Part A Evaluate the electronic partition function for this molecule at 373 K . Express the electronic partition function to three significant figures. ? qE = Submit Request Answer Part B Determine the temperature at which qɛ = 3. Express the temperature in kelvins to three significant figures. ? T = K Submit Request Answer

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

Related questions

Q: 8. Calculate the moment of inertia and the energy in the J = 1 rotational state for ¹H₂ in which the…

Q: Explain the basis of the Franck-Condon principle and how it leads to the formation of a

A: To Explain: Basis of Franck-Condon principle and how it leads to the formation of Vibrational…

Q: Vibrations in the diatomic molecule CO can be approximated as a harmonic oscillator, where the…

A: The objective of this question is to determine the most likely change of the equilibrium bond…

Q: A molecule can have various types of energies (translational, rotational, vibrational, and…

Q: . Suppose a system of 4 molecules has a total energy of Etot = 4(+) where the energy of each…

Q: Express the moment of inertia of an octahedral AB6 molecule in terms of its bond lengths and the…

Q: The number of nodes for the vibrational wavefunction of an excited CO is found to be 5. If the force…

Q: Assuming the vibrations of a ¹4N2 molecule are equivalent to those of a harmonic oscillator with a…

Q: 4) Calculate the energies E of the first three rotational levels (those giving the minimal energy)…

A: The energy of rotational levels of diatomic linear molecule is given by BJ(J+1) which is in cm-1.…

Q: The 14 N160 molecule undergoes a transition between its rotational ground state and its rotational…

A: Bond length of molecule = 1.152 Angstroms We need to find temperature such that, Energy of…

Q: A diatomic molecule has a rotational constant of 8.0 cm-1, and vibrational frequency of 1200 cm-1.…

A: Vibrational frequency: Thus, bond strength, as well as reduced mass are two factors that affect the…

Q: Consider the rotational spectrum of a linear molecule at 298 K with a moment of inertia of…

A: Introduction : We have to calculate the frequency and most populated state .

Q: Arrange the following energies in order of increasing magnitude: a) the typical energy of a…

A: The bond energy of a covalent single bond, the mean molecular translational energy for a gas at…

Q: The 14 N160 molecule undergoes a transition between its rotational ground state and its rotational…

Q: ^14N^16O (the superscripts represent the atomic mass number) (a) NO molecules rotate at an angular…

A: “Hello. Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 10. The internuclear distance of HF is 0.92 Å. The molecular mass of H is 1.00794m, and F is…

A: The objective of the question is to calculate the rotational energy of a hydrogen fluoride (HF)…

Q: Considering that the HCI molecule behaves like a harmonic oscillator, calculate the energy of the…

A: The energy of the rotational levels is given by the expression: EJ=h28π2IJ(J+1)where,I= Moment of…

Q: A molecule in a gas undergoes about 1.0 × 10° collisions in each second. Suppose that (a) every…

A: The relation between line width and lifetime is expressed as: τ=5.309 psδv/cm-1 where τ is the…

Q: Consider the diatomic molecule AB modeled as a rigid rotor (two masses separated by a fixed distance…

Q: The energy levels of a CH, group attached to a larger fragment are given by the expression for a…

Q: standard sample of Argon gas is 22.4L, 1.00atm, 1.00mol, 273.15K. In the right setups excited gas…

Q: As noted in lecture, the rigid rotor model can be improved by recognizing that in a realistic…

A: The rotational constant B of HBr molecule is given to be 8.473 cm-1 while that of value of α is…

Q: The Carbon monoxide molecule, CO, has an energy difference of 4.77 x 10 -4 eV. The wavelength of…

A: To determine the bond length r0 of the carbon monoxide (CO) molecule based on the given wavelength…

Q: Calculate the linear momentum of photons of wavelength 350nm. At what speed would a H₂ molecule need…

A: We know the debroglie hypothesis that p is the linear momentum associated with wavelength lamda.

Q: The rotational spectrum of CH* has been observed in the planetary nebula NGC 7027.* The spectrum…

A: In the rotational spectrum of a molecule, the series of lines is separated by '2 B', where, 'B' is…

Q: N = A+ E If E = 1; A = 2; then 2 = What are the state(s)? %3D %3D

Q: The four lowest electronic levels of a Ti atom are: J = 2, 3, 4 and 1, at 0, 170, 387 and 6557 cm-1,…

A: Relative populations of different levels depend on their energy difference. and For each…

Concept explainers

Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.

Question

Thermo - Problem 14.44
NO is a well-known example of a molecular system in which
excited electronic energy levels are readily accessible at room
temperature. Both the ground and excited electronic states are
Part A
doubly degenerate and are separated by 121.1 cm-1. (Note:
the Boltzmann constant k = 1.38 x 10-34 J.s, speed of the
light c = 3.00 · 1010 cm · s-1 the Planck constant
h = 6.626 · 1034 J.s).
Evaluate the electronic partition function for this molecule at 373 K.
Express the electronic partition function to three significant figures.
?
qE =
Submit
Request Answer
Part B
Determine the temperature at which qp = 3.
Express the temperature in kelvins to three significant figures.
?
T =
K
Submit
Request Answer

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

The number of nodes for the vibrational wavefunction of an excited CO is found to be 5. If the force constant of C--O is 1550 N/m, what is the vibrational energy (in kJ/mol) of the excited CO? (h= 6.626 x 10-¹4J.s) Select one or more: □ A. 78.95 kJ/mol B. 1.34 kJ/mol □ C. 103.34 kJ/mol □ D. 12.9 kJ/mol
Emission of microwave radiation from the J = 10 transition of a molecule has been detected at 88.63 GHz from a region of interstellar space in which there is evidence of thermal equilibrium and a temperature of around 50 K. Estimate the frequency and relative intensity of the J = 2 → 1 transition of the same molecule.
But molecules combine both vibrational and rotational states in such a way that both selection rules must be satisfied if we are only talking about absorption or emission of electromagnetic radiation (i.e. photons). 5 1 images from Krane Ch 9. Relative absorption : 0.330 L=3 to L=2 L=2 to L = 1 Electronic excited state. Electronic ground state L→ L-1 L = 1 to L = 0 Ť 0.340 0.350 SE Energy (eV) 2B 0.360 : hf L=0 L=1 L=2 to to to L = 1 L = 2 L = 3 Photo 4 1 3 1 2 1 1 0 1 1 5 0 4 0 30 20 1 0 0 0 LN L→ L+1 0.370 0.380 no emission here because AL # 0, AL = +1 AN = ±1, HCI spectra. In the middle of the gap is the energy hf that would correspond to a pure vibrational transition, which would violate the rotational selection rule. What is the value of hf for the HCI spectra?
The Morse potential energy is very useful as a simple representation of the actual molecular potential energy. When 85Rb1H was studied, it was found that ˜ν = 936.8 cm−1 and x_eν˜ = 14.15 cm−1. Plot the potential energy curve from 50 pm to 800 pm aroundRe = 236.7 pm. Then go on to explore how the rotation of a molecule may weaken its bond by allowing for the kinetic energy of rotation of a molecule and plotting V∗ = V + hcBJ˜ (J + 1) with B˜. Plot these curves on the same diagram for J = 40, 80, and 100, and observe how the dissociation energy is affected by the rotations. Hints: Taking B˜ = 3.020 cm−1 as the equilibrium bond length will greatly simplify the calculation. The mass of 85Rb is 84.9118mu
E rotational is 2.777×10−20 J
Assume that for ¹H35 Cl molecule the rotational quantum number J is 11 and vibrational quantum number n = 0. The isotopic mass of ¹H atom is 1.0078 amu and the isotopic mass of 35 C1 atom is 34.9688 amu, k = 516 N · m¯¹, and x = 127.5 pm. Part E Calculate the period for vibration. Express your answer in seconds to three significant figures. Tvibrational = Part F Submit Previous Answers 1.12x10-14 s Correct Correct answer is shown. Your answer 1.1181.10-¹4 = 1.1181x10-14s was either rounded differently or used a different number of significant figures than required for this part. Calculate the period for rotation. Express your answer in seconds to four significant figures. Trotational = ΑΣΦ W ? S