Please solve this question within 5 minutes, I will rate you for sure. (b) Starting from the definition of average energy per particle, (s) show the total energy based ond In qBoltzmann distribution E=-Nd In qdßHere, q (molecular partition function),dTB (=1/kT), k (Boltzmann constant), and N (number of molecules)= NKT²

The Boltzmann distribution is a probability distribution that describes the distribution of…

(b) Starting from the definition of average energy per particle, (s) show the total energy based on d In q d In q Boltzmann distribution E=-N NkT2 dß dT ß (-1/kT), k (Boltzmann constant), and N (number of molecules) . Here, q (molecular partition function),

(b) Starting from the definition of average energy per particle, (s) show the total energy based on d In q d In q Boltzmann distribution E=-N NkT2 dß dT ß (-1/kT), k (Boltzmann constant), and N (number of molecules) . Here, q (molecular partition function),

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter20: Molecular Spectroscopy And Photochemistry

Section: Chapter Questions

Problem 12P

See similar textbooks

Related questions

Q: Which of the following reactions is an acid-base reaction? A) AgNO3(aq) + KF(aq) →→→ AgF(s) +…

Q: What is the IUPAC name for this compound? OH B 02-hydroxy-1-methylcyclobutane.

A: According to IUPAC Nomenclature, Name of alicyclic compounds are obtained by adding prefix cyclo to…

Q: What theoretical quantity in grams of Ag2S can be obtained from the reaction of 10.5 g of Ag with…

A: Molar mass of Ag2S = 247.8 g/mol

Q: Study the chemical equations in the table. Equation Number 1 2 3 Oxidizing agent Balanced Equation…

A: Oxidizing agent: The reactant that itself gets reduced and oxidizes the other reactant by adding…

Q: Fill in the Table. List the names and symbols for the six elements that are metalloids. Type them in…

A: First we know what are metalloids - Metalloids are elements whose physical and chemical properties…

Q: Calculate [A] and [A2-]of a 0.50 M solution of diprotic acid, H₂A, with K₁ = 3.0 x 10-³ and K₂ = 5.0…

A: We will construct an ICE table and using the equilibrium constant we will calculate the…

Q: This is the TLC of syn-azobenzene (A for both plates since it was under UV light) and…

A: It is unusual for a more polar compound to have a higher Rf value and travel further than a less…

Q: Find the molar mass of CO(NH2)2-

A: Molar mass of compound is sum of atomic masses of constituent atoms . Atomic mass of C = 12.01…

Q: The Fischer projection for (+)-2-bromooctane is shown below. Write the correct atom or substituent…

A: In this nucleophilic substitution, inversion of configuration occurs. So, this reaction proceeds via…

Q: The Solubility Product Constant for silver phosphate is 1.3 x 10^-20. The maximum amount of silver…

A: The question is based on the concept of solubility product principle. It that states that when a…

Q: a) Ö from toluene LOCH 3

A: Given that, a synthesis scheme is shown below We have to carry out the above synthesis.…

Q: For each of the following pairs of elements, state whether the binary compound they form is likely…

A: we have to write the empirical formula of the compound and determine the nature of compound.

Q: What is the pH of a solution made from adding 10.00 mL of 0.15 M Na₂HASO4 to 25.00 mL of 0.10 M…

A: The given two solutions correspond to buffer solution prepared from a weak acid and its conjugate…

Q: 1. a. b. Balance the following redox reactions using the oxidation number method. NACIO + H₂S → NaCl…

Q: For a 6.60x10-2 M solution of H₂Se, calculate both the pH and the Se2- ion concentration. H₂Se + H₂0…

Q: How to Balance Li (s) + O2 (g) products Li2O (s) Reactants Products Li O

A: A balanced chemical equation contain equal number of atoms of each elements on both sides of the…

Q: a molecular-level Draw and upload here as an attachment representation of ammonium chloride (NH4Cl)…

Q: 0.10 M Pb(CH3COO)2 0.10 M NaCl 0.10 M NaNO3 0.10 M NH4CH3COO More soluble than in pure water.…

Q: What is the purpose of the n or x in the equation when performing enthalpy calculations?

A: Solutions- Enthalpy calculations

Q: In a titration of 73.0 mL of a 0.500 M solution of a diprotic acid HC,H,O, (malonic acid) with 0.255…

A: Given -> Molarity of malonic acid = 0.500 M = M1 Volume of malonic acid = 73.0 ml = V1 Molarity…

Q: Draw the products of the two step reaction sequence shown below. Ignore inorganic byproducts. If the…

Q: Under certain conditions the rate of this reaction is zero order in dinitrogen monoxide with a rate…

Q: 2Ag + S ® Ag2S (reaction from previous equation) A chemist reacts 10.5 g of…

Q: Which of the following represents the complete neutralization of dimethylamine? 0 CH3-NH + HC -…

A: Amines are basic in nature, hence, they completely neutralize acids to form the corresponding…

Q: elp me answer this question: Q: Using your own data, is it possible to evaluate the ideas of the…

Q: What is the IUPAC name for this compound? CH3 O 1 CH3-CH-CH₂-C-OH O2-methylbutanoic acid…

A: According to the IUPAC nomenclature, First longest chain of carbon atom is identified. Numbering is…

Q: Carbon disulfide can be prepared from coke (an impure form of carbon) and elemental sulfur.…

A: Given thermochemical reaction equation is 4C(s)+S8(s)⟶4CS2(l) ΔH°=+358.8 kJ

Q: Consider the following system at equilibrium where AH = -10.4 kJ, and Kc = 55.6, at 6.98 × 10² K:…

A: Le Chateliar' principle: A reaction at equilibrium shifts in a direction that nullifies the applied…

Q: The reaction of 2,2-dimethyl-1-propanolwith HBr is very slow and gives 2-bromo-2-methylbutaneas the…

A: The nucleophilic substitution is the reaction where a reaction proceed by the substitution of a…

Q: Write the name of the following compound following IUPAC rules.

A: Rule of IUPAC- 1) Choose the longest carbon chain including double bond as parent chain. 2)…

Q: Calculate the solubility at 25 °C of CaF2 in pure water and in a 0.0080 M NaF solution. You'll find…

A: The solubility of CaF2 can be calculated using the following equation: Ksp = [Ca2+][F−]2 where Ksp…

Q: The IUPAC name of this compound is 0 CH3C-NH-CH3 ON-methylethanamide O butanamide…

A: According to the IUPAC nomenclature, First longest chain of carbon atom is identified. Numbering is…

Q: What is the pH of a 0.640 M solution of Ca(NO₂)2 (Ka of HNO₂ is 4.5 x 10-4)?

A: Given : Concentration of Ca(NO2)2 = 0.640 M And Ka of HNO2 = 4.5 X 10-4 Since Ca(NO2)2 is a…

Q: A reaction profile (not to scale!) for the reaction 2 HI H₂ + I2 is shown below: E (kJ) HIA HI A 184…

Q: 3 attempts left O O Check my work Indicate which reaction will occur faster. Explain your reasoning.…

A: Correct option is : 1-Chloropentane reacts faster because it is less sterically hindered.

Q: Be sure to answer all parts. Give the IUPAC name for the following compound: ㄱㄷ CH3, CH3…

Q: 20.0 mL of a strong acid, HA, has a pH of 5.00. A) What would happen to the pH if 180.0 mL of…

A: We have to calculate the pH of the given solution, after given amount of water is added

Q: Be sure to answer all parts. Draw a stepwise mechanism and the product for the following…

Q: Under certain conditions the rate of this reaction is zero order in ammonia with a rate constant of…

Q: Calculate the solubility at 25 °C of CaF2 in pure water and in a 0.0080 M NaF solution. You'll find…

A: The solubility product expression for this reaction is: Ksp = [Ca2+][F-]2 At equilibrium, the ion…

Q: Exercise 1: Unit cell dimensions For a crystal with a cubic unit cell, a Bragg reflection for the…

Q: An equilibrium is established for the exothermic reaction Br₂(g) + 5 F₂(g) = 2 BrFs (g). How would…

A: Le Chatelier's Principle: According to this when a equilibrium system is subjected to stress then…

Q: Draw a detailed mechanism, using curved arrow notation, for the synthesis of the intermediate…

A: Knoevenagel condensation is a reaction between an aldehyde or ketone and an active methylene…

Q: Calculate the mass in grams of 0.577 mol glycerol (C3HgO3). g

Q: Write the name of the following compound following IUPAC rules. type your answer...

Q: Determine the value of the equilibrium constant, Kgoal, for the reaction N₂(g) + O2(g) + H₂(g) =…

Q: OChem help... Provide the bond line structures of the reactants and the products formed in the…

A: Given that, reactions are shown below We have to draw the the structures of the products. Also, we…

Q: Where do the blue arrows and pink arrows go on the London force and bonding force on vitamin c…

A: All molecules shows London force. London force is a intermolecular force. This causes temporary…

Q: 11. At an altitude of 40 km above the earth's surface, the atmospheric pressure is 5.00 torr, and…

Q: a molecular-level Draw and upload here as an attachment representation of ammonium chloride (NH4Cl)…

A: Any ionic compound undergoes dissociation and forms ions in aqueous solution.

Question

Please solve this question within 5 minutes, I will rate you for sure.

(b) Starting from the definition of average energy per particle, (s) show the total energy based on
d In q
Boltzmann distribution E=-N
d In q
dß
Here, q (molecular partition function),
dT
B (=1/kT), k (Boltzmann constant), and N (number of molecules)
= NKT²

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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

Calculate the ratio of the populations in the first two rotational energy levels of carbon monoxide, the lowest J=0 energy level and the higher J = 1 energy level, at 300 K if the energy difference between the levels is 3.8 cm-1and the degeneracies gJ of the two levels are g0 = 1 and g1 = 3, respectively. (You will see in Section 20.3 that there are 2J 1 1 rotational quantum states at each energy level EJ.)
(c) Consider the following rotational temperatures of diatomic molecules: qr(N2) = 2.9K, qr(HD) = 64.7K Assuming classical behaviour (i.e. continuum approximation): (i) Estimate the number of accessible rotational energy levels at 290 K for both molecules
Rotational spectra are affected slightly by the fact that different isotopes have different masses. Suppose a sample of the common isotope 1H35Cl is changed to 1H37Cl. (a) By what fraction is the molecule’s rotational inertia different? (The bond length is 0.127 nm in each case.) (b) What is the change in energy of theℓ = 1 to theℓ = 0 transition if the isotope is changed?
Consider the diatomic molecule AB modeled as a rigid rotor (two masses separated by a fixed distance equal to the bond length of the molecule). The rotational constant of the diatomic AB is 25.5263 cm-1. (a) What is the difference in energy, expressed in wavenumbers, between the energy levels of AB with J = 10 and J = 6? (b) Consider now a diatomic A'B', for which the atomic masses are ma 0.85 mA and mB' 0.85 mB and for its bond length ra'B' = 0.913 rAB. What is the difference in energy, expressed in wavenumbers, between the energy levels of the A'B' molecule with J = 9 and J = 7?
J.G. Dojahn et al. (J. Phys. Chem. 100, 9649 (1996)) characterized the potential energy curves of the ground and electronic states of homonuclear diatomic halogen anions. These anions have a 2Σu+ ground state and 2Πg, 2Πu, and 2Σg+ excited states. To which of the excited states are electric-dipole transitions allowed from the ground state? Explain your conclusion.
Calculate the separation between the two lowest energy levels for an N2 molecule in a one- dimensional container of length 2.0 cm. At what value of n does the energy of the molecule reach ½kT at 300 K, and what is the separation of this level from the one immediately below?
The nuclear spin of deuterium, D, is I= 1. Calculatethe ratio of the number of ways of achieving rotational statesw ith odd and even values of J.
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.
Why does the vibrational state of a diatomic molecule affect its rotational constant? Is there an effect even if the potential is strictly parabolic?
Estimate the value of Erot for the lowest rotational energy state of N2, which has a bond length 0.110 nm.
The frequency for the first excitation of the stretching mode in the HCl molecule was experimentally determined to be ? = 86.6 THz. calculate the partition function q for the stretching mode of HCL at room temperature (T=298K) assuming that it behaves as a harmonic oscillator. explain the significance of the obtained value.
What is degeneracy of rotational mode and what is the physical interpretation of it.