When are the rotational degrees of freedom of a diatomic molecule expected to contribute R to the molar constant volume heat capacity? When will a vibrational degree of freedom contribute R to the molar heat capacity?

When are the rotational degrees of freedom of a diatomic molecule expected to contribute R to the molar constant volume heat capacity? When will a vibrational degree of freedom contribute R to the molar heat capacity?

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter11: Molecular Structure

Section: Chapter Questions

Problem 8P: The v = 0 to v = 1 vibrational transition of the HI molecule occurs at a frequency of 6.69 × 1013...

See similar textbooks

Related questions

Q: A useful mode of operation of a transistor is in the common -emitter configuration In this mode,…

A: Common emitter configuration is one of the configurations where the emitter is connected between the…

Q: The CO molecule makes a transition from the J = 1 to the J = 2 rotational state when it absorbs a…

A: Let f be the incident photon’s frequency. The expression of the rotational kinetic energy of the…

Q: Find the number of vibrational degrees of freedom of a CO2 molecule,if the average kinetic energy of…

A: Given, CO2 molecule average kinetic energy is 4 kT average kinetic energy is given by fkT/2 where f…

Q: What is the difference in packing efficiency between the hcp structure and the ccp structure?

Q: › Considering the diamond structure, what is the number of atoms per cell? Show that the packing…

A: The space lattice of a diamond is face-centered cubic. In the diamond crystal structure, there is…

Q: The figure above shows the absorption spectrum of the molecule HBr. Following the basic procedures…

A: In this question The figure above shows the absorption spectrum of the molecule HBr.

Q: Show that the moment of inertia of a diatomic molecule composed of atoms of masses mA and mB and…

A: To calculate the moment of inertia of the the diatomic molecule.

Q: A hypothetical NH molecule makes a rotational-level transition from I= 3 to l = 1 and gives off a…

Q: Show that the moment of inertia of a diatomic molecule composed of atoms of masses mA and mB and…

A: Let rA and rB be the distance between the mass mA and mB from the center of mass of the diatomic…

Q: How does a semiconductor differ from a conductor or an insulator?

Q: A hypothetical NH molecule makes a rotational-level transition from l= 3 to I = 1 and gives off a…

A: Mass of hydrogen= 1.67 x 10-27Kg Mass of nitrogen= 2.33 x 10-26Kg Wavelength of photon= 1.740 nm

Q: The effective spring constant associated with bonding in the N2 molecule is 2 297 N/m. The nitrogen…

Q: C- Silicon is doped with acceptor atoms to a density of 10 m 3. If it is assumed that all acceptor…

A: Given: The density of acceptor atom is na=1022 m-3. The intrinsic density is ni=1.4×1016 m-3. The…

Q: Distinguish between the drift speed and fermi speed of the conduction electrons in a metal?

A: Drift speed is the average speed of the electrons or ions in a medium or a conductor after applying…

Q: To determine the equilibrium separation of the atoms in the HCl molecule, you measure the rotational…

A: Given,The wavelength consisting with the rotational spectrum of HCl,60.4 mm, 69.0 mm, 80.4 mm, 96.4…

Q: In a cubic lattice, what is the angle (in degrees) between the [010] and [001] directions?

A: Miller indices are used to specify the direction in the latices: So the angle between[[h1, k1, l1]…

Q: A molecule in a gas undergoes about 1.0 × 109 collisions in each second. Suppose that (i) every…

Q: Calculate the value of ni in silicon at room temperature (300 K).

A: Let T denote the temperature, B denote the constant related to a specific semiconductor, k denote…

Q: Suppose that the wavenumber of the J = 1 ← 0 rotational transition of 1H81Br considered as a rigid…

A: Given-Wavenumber ϑ=18.20 cm-1=1820 m-1 m(79Br) = 78.9183 amu m(81Br) = 80.9163 amu

Q: How could you make compensated silicon that has twice as many acceptors as donors?

A: A compensated semiconductor contains both types of dopants. There are two types of dopants added to…

Q: Plot the energy band-gap Eg versus the lattice constant for the two ternary compounds, In„Ga,As and…

A: In this question we have to plot a graph for the given conditions. Please give positive feedback if…

Q: Calculate the probability that an energy state in the valence band at E-E-kT is empty of an electron…

A: Energy state E=Ev-kT. We need probability that no electron exists in this state at temperature…

Q: calculate the thermal equilibriumi concentrutin of electron and holes Fora given fermi enersy…

A: The change in the Fermi level is a function of a donor and acceptor impurity concentration that are…

Q: A CO molecule starts in the vibrational and rotational ground state with k = 900 N/m. Calculate the…

Q: Why the electrons in fermi level not absorb energy??

A: Fermi level is the term used to describe the top of the collection of electron energy levels at…

Q: Calculate the value of the force constant for a crystal of sodium chloride, if you know g, and the…

Q: In the motion of a diatomic molecule, the molecule oscillates as if there's a spring connecting the…

Q: The energy gap for Silicon at 20 Co is equal to 1.0946 ev 1.1046 ev

A: The Si semiconductor is an intrinsic semiconductor so it has no external impurities. At 0 K, the…

Q: When an OH molecule undergoes a transition from the n = 0 to the n = 1 vibrational level, its…

A: Given: The increase in internal vibrational energy (∆E) of the given OH molecule is 0.463 eV. The…

Q: 5th exited

Q: What is the effect of temperature on breakdown voltage in a p-n junction?

A: A p-n junction is a single crystal formed by joining two separate pieces. For example consider a…

Q: Talk about the working areas of the FET showing this with the illustration. Several advantages of…

A: The working areas of the FET (Field effect transistor) are, The field effect transistor is a type of…

Q: Explain the band structure of an electrical conductor (metal), a semiconducto insulator at 0 K by…

A: hi please find the answer to your question

Q: Although an ordinary H2 molecule consists of two identical atoms, this is not the case for the…

A: Given: The energy is E=0.0057 eV. The expression for temperature at which the heat capacity will…

Q: The equilibrium separation between the two ions in the KCl molecule is 0.267 nm. (a) Assuming that…

A: d = 0.267 nm = 0.267 x 10-9 m q = e = 1.6 x 10-19 C pmeasured = 5.41 x 10-29 C.m p = ? ppmeasured =…

Q: A hypothetical NH molecule makes a rotational-level transition from \= 3 to | = 1 and gives off a…

A: Wavelength= 1.8 nm Transition from l= 3 to l= 1

Q: الموضوع : 1 1 If the electrons are in the fermi level they move with awavelength of 1=6₁28A ² ) The…

Question

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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, physics and related others by exploring similar questions and additional content below.

Similar questions

The v = 0 to v = 1 vibrational transition of the HI molecule occurs at a frequency of 6.69 × 1013 Hz. The same transition for the NO molecule occurs at a frequency of 5.63 × 1013 Hz. Calculate (a) the effective force constant and (b) the amplitude of vibration for each molecule. (c) Explain why the force constant of the NO molecule is so much larger than that of the HI molecule.
please help quickly A molecule in a gas undergoes about 1.0 × 109 collisions in each second. Suppose that (a) every collision is effective in deactivating the molecule rotationally and (b) that one collision in 10 is effective. Calculate the width (in cm-1) of rotational transitions in the molecule.
A molecule in a gas undergoes about 1.0 × 109 collisions in each second. Suppose that (i) every collision is effective in deactivating the molecule rotationally and (ii) that one collision in 10 is effective. Calculate the width (in hertz) of rotational transitions in the molecule.
A molecule in a gas undergoes about 1.0 × 109 collisions in each second. Suppose that (a) every collision is effective in deactivating the molecule rotationally and (b) that one collision in 10 is effective. Calculate the width (in cm-1) of rotational transitions in the molecule.
The air is a gas mixture of oxygen, carbon dioxide, and Nitrogen. If the air can be treated as ideal gas at temperature 100 °C, what is the average kinetic energy for each of the molecule in air?(Consider Oxygen, Nitrogen, and carbon dioxide as diatomic molecule structure which consist of translational and rotational degree of freedom only. No vibration motion is considered) Boltzmann constant is kg 1. 38 x 10-231/K
The gas of oxygen at temperature 100 °C can be treated as ideal gas. (a)What is the internal energy of the gas? (b) what is the average translational kinetic energy for each of the oxygen molecule? (Consider Oxygen as diatomic molecule structure which consists of translational and rotational degree of freedom only. No vibration motion is considered) Boltzmann constant is kg = 1.38 × 10-23J/K
The air is a gas mixture of oxygen, carbon dioxide, and Nitrogen. If the air can be treated as ideal gas at temperature 100 °C, what is the average kinetic energy for each of the molecule in air?(Consider Oxygen, Nitrogen, and carbon dioxide as diatomic molecule structure which consist of translational and rotational degree of freedom only. No vibration motion is considered) Boltzmann constant is kB = 1. 38 x 10 23 J/K
Although an ordinary H2 molecule consists of two identical atoms, this is not the case for the molecule HD, with one atom of deuterium (Le., heavy hydrogen, 2H). Because of its small moment of inertia, the HD molecule has a relatively large value of E: 0.0057 eV. At approximately what temperature would you expect the rotational heat capacity of a gas of HD molecules to "freeze out," that is, to fall significantly below the constant value predicted by the equipartition theorem?
In a diatomic gas why should it be more difficult to excite the vibrational mode than the rotational mode?
Give an example of two polyatomic molecules that have different rotational contributions to internal energy. State the conditions in which the vibrational contribution to internal energy is proportional to the temperature.
N 2 has a molecular weight of 28.02 g/mol a bit larger than that of a Ne atom, 20.18 g/mol. (a) At a particular temperature, Z trans= 1.90 x 10 26 for Ne in a specific container. What is the translational partition function for a N2 molecule in this container at the same temperature? (b) At 100 K, the rotational partition function for N2is found to be 17.39. What would you expect it to be at 500 K?
A rigid tank of volume V = 0.02 m3 contains carbon monoxide at a temperature of T0 = 25° C and a pressure of P0 = 9.00 × 105 Pa. This molecule should be treated as a diatomic ideal gas with active vibrational modes. a)The temperature of the gas increases by 10° C. Calculate the pressure of the gas in pascal at this increased temperature. b)Calculate the change to the internal energy of the gas in joules. c)Calculate the change in the entropy of the gas in joules per kelvin.