5. The vibrational modes of a particular molecule are listed below. Calculate thevibrational contribution to the molar entropy at 300 K.ModeDegeneracywavenumber / cm-1v1206v2305v31083v41367USEFUL CONSTANTSR = 8.314 J/mol/K = 0.08205 Latm/mol/KkB =1.38 x10-23 J/Kh = 6.626×10-34 J sc = 3x108 m/s1 cm-1 = 1.98x10-23 JSTP = 298 K, 1bar (105 N/m²)12 3

Given : S. No. Degenracy(m) wave no (cm-1) v1 1 206 v2 1 305 v3 2 1083 v4 3 1367

5. The vibrational modes of a particular molecule are listed below. Calculate the vibrational contribution to the molar entropy at 300 K. IIT Mode Degeneracy wavenumber / cm-1 v1 1 206 v2 1 305 v3 2 1083 v4 3 1367

5. The vibrational modes of a particular molecule are listed below. Calculate the vibrational contribution to the molar entropy at 300 K. IIT Mode Degeneracy wavenumber / cm-1 v1 1 206 v2 1 305 v3 2 1083 v4 3 1367

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 2.9E

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: The rotational partition function for 1271 1271 at the equilibrium bond length is equal to 929.…

A: Given qrot = 929 To determine qrot if the bond was strectched by a factor of 1.35

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

Q: 4. Spectroscopic measurements indicate that the rotational constants of SO2, a non-linear molecule,…

Q: A certain atom has a fourfold degenerate ground level, a non-degenerate electronically excited level…

A: The conversion of energy in cm-1 to joule is done using the below equation in which h is the…

Q: (b) A system comprising of one mole of distinguishable and non-interacti molecules has a two-fold…

A: Since you have posted a question with multiple sub-parts, we are entitled to solve first three…

Q: b. The standard molar entropy of O2 is 205.14 J mol-1 K-1 and õ = 1580 cm-1 and the electronic…

A: GIVEN: The standard molar entropy of O2 is 205.14 J mol-¹ K-¹ and ≈ = 1580 cm-¹ and the electronic…

Q: A system consists of three energy levels: a ground level (&o= 0, 90 = 1); a first excited level (1 =…

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

Q: THE THERMODYNAMICS OF GASES 5. Show that the total partition function derived from equation 7.45, on…

Q: The diatomic molecule N2 has a rotational constant B(~) = 2.0 cm-1 and a vibrational constant v(~) =…

Q: The ground configuration of oxygen gives rise to the three levels 3P2, 3P1, and 3P0 at 0, 158.5. and…

A: Hello. Since the question contains multiple subparts the first three subparts are solved. In case…

Q: Nitric oxide, NO, has two low-lying electronic states. The lowest electronic state has a degeneracy…

A: The formula for electronic partition function is given below : qe = electronic partition function…

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

A: The conversion of energy in cm-1 to joule is done using the below equation in which h is the…

Q: caculate the vibrational contributio to the entropy of Cl2 at 500K given the wave number of the…

Q: A linear molecule may rotate about two axes. If the molecule consists of N atoms, then there are 3N-…

A: a.

Q: 10.2 Calculate the translational, rotational, and vibrational contributions to U, S, and CV for a…

A: The given molecule ICl is linear . Energy contribution of each degree of freedom for one mole =…

Q: P13D.2 Use statistical thermodynamic arguments to show that for a perfect gas, (@E/aV), =0.

Q: 12.10 Calculate the molar entropy of nitrogen gas at 298 K. Write the overall partition function as…

A: Here we will apply the boltzmann equation to find the solution .

Q: A hypothetical atom has the following electronic energy levels: 90.5 cm Calculate its electronic…

A: The formula for electronic partition function is given below: qe = electronic partition function at…

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

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

Q: Let's examine the calculation of C, for a gas phase polyatomic molecule like H2O. The three…

Q: P13B.5 (a) Calculate the electronic partition function of a tellurium atom at (i) 298 K, (ii) 5000 K…

A: Electronic partition function related to the diatomic molecule takes the zero of energy to be…

Q: You have a diatomic ideal gas at room temperature with a rotational temperature of Orot = 2 K and…

A: In the ideal gas molecules, the interaction between them is negligible. It leads to elastic…

Q: The standard molar entropy of Cl2 is 223.08 J - mol.K at P= 1.00 atm. For this molecule, i = 560…

A: The bond length of Cl2 is calculated by the formula, S=Strans+Srot+Svib+Selec223.08…

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

A: 1. Solution -

Q: Show that bimolecular reactions between nonlinear molecules are much slower than between atoms even…

A: X +Y ----->(XY)* ---->P Transition state theory rate constant : k (q(XY*)/ q(A) q(Y)…

Q: Given that the partition function for a certain gas is Q (N,V,T)= M (2 3N 2rmkBT uT)† VN What is the…

A: Partition function is statistical preperty of a system in thermodynamic equilibrium. Which are…

Q: Find the potential energy for two methyl chloride molecules at 25 C separated by 1.9 A B I

A: In this question, we want to determine the potential energy between two methyl chloride Molecules.…

Q: Q2. Statistical Thermodynamics. Answer all parts. i. What do you understand by the term molecular…

Q: Calculate the total molar entropy of HF at 298K. The vibrational frequency is 3960 cm-1 and the…

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

Q: ulate the molecular translational partition functions in a volume of 1 cm3 at 298°K for the hydrogen…

Q: Starting from the molecular partition functions of each species, calculate ASrxn at 298.15 K and…

A: The solution of the question is given below: N2 (g) →2N (g) To calculate ∆S of the recation T=…

Q: NO is a well-known example of a molecular system in which excited electronic energy levels are…

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: What is overall molecular partition function Q, and how it is constructed using the partition…

Q: (b) Write an expression of the vibrational partition function. Obtain the relation of the…

A: The answers are given below:

Q: 9. The rotational spectrum of HCN is in far-infrared region, one part is 2.96 cm", 5.92 cm*, 8.87…

Q: The singly degenerate energy levels for a particular molecule are regularly spaced with a gap of 0.1…

A: A macrostate is arrangement of particle in different level A microstate is different possible ways…

Q: 8. Consider the NOF molecule with rotational constants 3.1752 cm-1, 0.3951 cm-¹, 0.3505 cm¹ and…

A: Rotational partition function It helps to get a relationship between rotational energy and degrees…

Question

5. The vibrational modes of a particular molecule are listed below. Calculate the
vibrational contribution to the molar entropy at 300 K.
Mode
Degeneracy
wavenumber / cm-1
v1
206
v2
305
v3
1083
v4
1367
USEFUL CONSTANTS
R = 8.314 J/mol/K = 0.08205 Latm/mol/K
kB =1.38 x10-23 J/K
h = 6.626×10-34 J s
c = 3x108 m/s
1 cm-1 = 1.98x10-23 J
STP = 298 K, 1bar (105 N/m²)
12 3

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

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

2. The rotational partition function of an ethene molecule is 661 at 25°C. What is the rotational contribution to its molar entropy?
A certain molecule can exist in either a nondegenerate singlet state or a triplet state (with degeneracy of 3). The energy of the triplet exceeds that of the singlet by ε. When ?=??(where T is a set value, i.e., ? is a constant), calculate the values of the molecular partition function, molar heat capacity, and molar entropy. Assume the molecules are distinguishable and independent
2. Calculate the total molar entropy of HF at 298K. The vibrational frequency is 3960 cm-1 and the rotational constant is 20.6 cm-1.
caculate the vibrational contributio to the entropy of Cl2 at 500K given the wave number of the vibration is 560/cm
b. The standard molar entropy of O2 is 205.14 J mol-1 K-1 and v = 1580 cm-1 and the electronic ground state is triply degenerate. Determine the bond length of O2 from this information.
1. Use the equipartition principle to estimate the value of γ = Cpm/CVm for gaseous N2O5. Do this calculation WITH the vibrational contribution to the energy. 2. A sample consisting of 0.15 mol of gas is compressed isothermally at 300K from 0.02m3 to 0.01m3 reversibly. Calculate w. 3. A sample consisting of 3 mol of argon (monoatomic gas), initially at P1=352kPa and T1= 320K, is cooled reversibly to 240K at constant volume. Calculate the q. 4. A chemical reaction takes place in a container fitted with a piston of cross-sectional area 20cm2. As a result of the reaction, the gas undergoes a compression, the piston is displaced by 5cm (toward the bottom of the container), pushed by an external pressure of 105Pa. Calculate the work.
calculate the vibrational contribution to the entropy of chlorine molecule at 500K given the wave number of thevibration is 560/cm
3. Calculate the residual molar entropy of a single molecule based on statistical approach if this molecule can adopt 4 orientations of equal energy at T=0K. What would be the entropy based on thermodynamic definitions?
Describe enthropy. What the entropy describes about a system, the statistical (boltzmann) definition of the entropy, and two example systems illustrating the Boltzmann definition of entropy.
Discuss the relation between the thermodynamic and statistical definitions of entropy.
A linear molecule may rotate about two axes. If the molecule consists of N atoms, then there are 3N- 5 vibrational modes. Use the equipartition theorem to estimate the total contribution to the molar internal energy from translation, vibration, and rotation for (a) carbon dioxide, CO2, and (b) dibromoethyne, C2Br2, at 2000 K. In contrast, a nonlinear molecule may rotate about three axes and has 3N- 6 vibrational modes. Estimate the total contribution to the molar in ternal energy from translation, vibration, and rotation for (c) nitrogen dioxide, NO2, and (d) tetrabromoethene, C2Br4,at 2000 K. In each case, first assume that all vibrations are active; then assume that none is.
A certain atom has a fourfold degenerate ground level, a non-degenerate electronically excited level at 2500 cm−1, and a twofold degenerate level at 3500 cm−1. Calculate the partition function of these electronic states at 1900 K. What is the relative population of each level at 1900 K?