Answered: The ground level of Cl is 2P3/2 and a…

The ground level of Cl is 2P3/2 and a 2P1/2 level lies 881 cm−1 above it. Calculate the electronic contribution to the heat capacity of Cl atoms at (i) 500 K and (ii) 900 K.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter2: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 2.92E

See similar textbooks

Related questions

Q: Calculate the standard molar entropy of N2(g) at 298 K from its rotational constant ᷉ B = 1.9987…

Q: What is the temperature of a two-level system of energy separation equivalent to 300 cm−1 when the…

Q: Use eqn 14D.4 to deduce expressions for (a) the root-mean-square separation of the ends of the…

A: (a)

Q: Discuss the relation between the thermodynamic and statistical definitions of entropy.

Q: Predict the vibrational contribution to the standard molar entropy of methanoic acid (formic acid,…

A: At the temperature T, the vibrational partition function, qv, is calculated as shown in equation (1)…

Q: A certain molecule has a doubly degenerate excited state lying at 360 cm−1 above the non-degenerate…

A: Percentage of the molecules in upper state (a) = 15% Percentage of the molecules in lower state (b)…

Q: Calculate the relative populations of a spherical rotor at 298 K in the levels with J = 0 and J = 5,…

Q: Calculate the rotational partition function of SO2 at 298 K from its rotational constants 2.027 36…

A: The rotational partition function of SO2 at 298 K from its rotational constants is to be calculated…

Q: The first excited electronic energy level of the helium atom is 3.13 ✕ 10−18 J above the ground…

A: According to the question we have, The electronic energy of the first excited state of the Helium…

Q: Evaluate the rotational partition function at 298 K of (a) 1H35Cl. for which the rotational constant…

A: The rotational partition function expression is shown below,

Q: Derive an expression for the mean energy of a collection of molecules that have three energy levels…

A: The expression for the molecular partition function is defined as shown below where gL is the…

Q: A certain atom has a doubly degenerate ground level , a triply degenerate electronically excited…

Q: Use the equipartition theorem to estimate the constant-volume molar heat capacity of (i) I2, (ii)…

A: i.

Q: Briefly describe the contributions of Walter Nernst, T. W. Richards, Max Planck and G. N. Lewis in…

A: Walther Nernst (1864 – 1941) made a significant breakthrough with his statement of the Third Law of…

Q: Calculate the Boltzmann distribution for sodium (Na) atoms in an inductively coupled plasma a 8000K.…

A: The Boltzmann distribution is basically the ratio of an upper state by a lower state. The formula…

Q: 35CI2 has a harmonic vibrational wavenumber of 559.7 cm-1. Without precise calculations, but noting…

Q: A certain molecule has a non-degenerate excited state lying at 540 cm−1 above the non-degenerate…

A: GIVEN: Molecule has a non-degenerate excited state lying at 540 cm−1 To Solve: Temperature at which…

Q: The force constant for HBr is 412 N m-1. Using the harmonic oscillator model, calculate the relative…

A: The relation of force constant and excitation energy can be shown as follow: hv=h2πKμ Here, h =…

Q: Consider an ideal diatomic gas in a piston, at T = 22.7°C and atmospheric pressure (1.01 x 105 Pa)…

Q: 1. Consider the following diatomic molecules: H2 with a vibrational stretch mode at 4342 cm-1, Frat…

Q: How much energy does it take to raise the temperature of 1.0 mol H2O(g) from 100 °C to 200 °C at…

A: This problem can be solved by the formula : q = mc(T2-T1) where q is the energy m is the…

Q: At temperature T, the internal energy of 1mol rigid diatomic molecules is =......

A: Internal energy can be calculated on the basis of degree of freedom.

Q: Use the equipartition theorem to estimate the constant- volume molar heat capacity of (i) O3, (ii)…

A: The equipartition theorem guides the contribution of the degree of freedom of a molecule to the…

Q: 1.3 The ground level of Cl is 2P3/2 and a 2P1/2 level lies 881 cm-1 there above. Calculate the…

A: Given as A ground level of Cl is 2P3/2 and 2P1/2 level lies = 881 cm-1 above The Heat capacity of Cl…

Q: Use concepts of statistical thermodynamics to describe the molecular features that determine the…

A: The equilibrium constant k of a reaction is related to the standard Gibbs energy of the reactor by…

Q: The molar heat capacities at constant volume of Ne and N2 at 298 K are 12.47 J mol-1 K1 and 20.79 J…

A: Ne is a monoatomic gas and N2 is a diatomic gas. The molar heat capacity at constant volume is given…

Q: The energy levels of a CH3-group attached to a larger fragment are given by the expression for a…

A: 1. Solution -

Q: What molar constant-volume heat capacities would you expect under classical conditions for the…

A: According to equipartition theorem, the contribution of degree of freedom to the heat capacity is ½…

Q: Calculate the molar internal energy of a monatomic gas.

Q: Provide solution to the attached question ?

A: In solvent extraction the distribution ratio is often quoted as a measure of how well-extracted a…

Q: Assuming that molecules are randomly distributed in a volume V at pressure P and temperature T with…

Q: For two nondegenerate energy levels separated by an amount of energy ε/k=500.K, at what temperature…

A: Given: Energy level separation ,=e/k = 500K Boltzmann distribution, N2/N1 = 1/2

Q: Calculate the molar internal energy of carbon dioxide at 25 °C, taking into account its…

A: Given: Temperature=25°C=298 K

Q: 1. Find the coefficient of linear expansion of a 2.0 meter long object with a temperature of 30…

A: The term "expansion" refers to a transition or rise in duration. The change of length along one…

Q: Suppose that 1.0 mol of perfect gas molecules all occupy the lowest energy level of a cubic box. (a)…

A: a.

Q: What is the temperature of a two-level system of energy separation equivalent to 400 cm−1 when the…

A: According to Boltzmann distribution, the equation for the probability distribution is given by,…

Q: Calculate the ratio of the populations in the first two rotational energy levels of carbon monoxide,…

A: The population ratio between two levels is given by: ninj=ωiωje-∆EKBT…

Q: The heat capacity ratio of a gas determines the speed of sound in it through the formula cs =…

A: To find the speed of the sound Cs = (γRT/M)1/2 to find γ γ = Cp,m/Cv,m At given temperature, T=…

Q: 5. What types of states/energy differences have thermal populations of the first excited state (P₁)…

Q: You have a vibrational degree of freedom that can be treated like a harmonic oscillator with a…

A: Probability of a particle indicate the possibility of a particle present in particular vibrational…

Q: 1) Derive a relationship for translational entropy starting from: S = E/T + KT In (Z)v. *

A: Composite systems for the different and indifferent particles can be best described with the help of…

Q: Why is it important to distinguish between the standardstate and the reference state of an element?

A: Standard State is the thermodynamically most stable state, also known as reference state of an…

Q: An NO molecule has a doubly degenerate electronic ground state and a doubly degenerate excited state…

A: Solution- Electronic partition function (qe) is given by: qe=∑gie-βEi For NO ,degeneracy , gi=2 ,…

Q: Consider a partıcle in one dimonsion with the Hamitonian: H= P² + VCr). where VCx) + o)=0, and V Is…

Question

The ground level of Cl is ²P_3/2 and a ²P_1/2 level lies 881 cm⁻¹ above it. Calculate the electronic contribution to the heat capacity of Cl atoms at (i) 500 K and (ii) 900 K.

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Applications of Statistical Thermodynamics

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

1.3 The ground level of Cl is 2P3/2 and a 2P1/2 level lies 881 cm-1 there above. Calculate the electronic contribution to the heat capacity of Cl atoms at 500 K.
What molar constant-volume heat capacities would you expect under classical conditions for the following gases: (a) Ne, (b) O_2, (c) H_2O, (d) CO_2, and (e) CHCl_3
Use the equipartition theorem to estimate the constant-volume molar heat capacity of (i) I2, (ii) CH4, (iii) C6H6 in the gas phase at 25 °C.
Calculate the contribution of each normal mode to the molar vibrational heat capacity of H_2O (g) at 600 K.
Use the equipartition theorem to estimate the constant- volume molar heat capacity of (i) O3, (ii) C2H6, (iii) CO2 in the gas phase at 25 °C.
Use the equipartition principle to estimate the values of γ = Cp/CV for gaseous ammonia and methane. Do this calculation with and without the vibrational contribution to the energy. Which is closer to the experimental value at 25 °C?
Estimate the values of γ = Cp,m/CV,m for gaseous ammonia and methane. Do this calculation with and without the vibrational contribution to the energy. Which is closer to the experimental value at 25 °C? Hint: Note that Cp,m − CV,m = R for a perfect gas.
Plot the molar heat capacity of a collection of harmonic oscillators as a function of T/θV, and predict the vibrational heat capacity of ethyne at (i) 298 K, (ii) 500 K. The normal modes (and their degeneracies in parentheses) occur at wavenumbers 612(2), 729(2), 1974, 3287, and 3374 cm–1.
Use the equipartition principle to estimate the value of γ = Cp/CV for carbon dioxide. Do this calculation with and without the vibrational contribution to the energy. Which is closer to the experimental value at 25 °C?
What is the temperature of a two-level system of energy separation equivalent to 400 cm−1 when the population of the upper state is one-third that of the lower state?
Calculate the vibrational, rotational, and translational contributions to the constant volume heat capacity (Cv) for 14N2 at 298 K. Assume this represents the high temperature limit for rotational energy and low temperature limit for vibrational energy. Given that Cv=20.81 J/K·mol for N2, state which type or types of energy contribute most to Cv for N2 and explain why those types of energy contribute most.
Evaluate, by explicit summation, the mean vibrational energy of CI4 and plot its value as a function of temperature. At what temperature is the equipartition value within 5 per cent of the accurate value? Use the wavenumbers 178 cm−1 (symmetric stretch, non-degenerate), 90 cm−1 (deformation, doubly degenerate), 555 cm−1 (deformation, triply degenerate), 125 cm−1 (deformation, triply degenerate).