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

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: At absolute zero there are only vibrational modes of movement in a substance true or false

Q: Identify the molecular partition function for a molecule that has three energy levels with energies…

A: Molecular partition function q = ∑gie−Ei/kT q = goe−Eo/kT + g1e−E1/kT + g2e−E2/kT

Q: Calculate the standard molar entropy of O2(g) at 298 K from its rotational constant B=1.4457 cm and…

A: The objective of the question is to calculate the standard molar entropy of oxygen molecule…

Q: Calculate the residual molar entropy of a single molecule based on statistical approach if this…

A: A single molecule can adopt 4 orientations of equal energy at T = 0K. We have to calculate the…

Q: Estimate the vibrational contribution to the molar entropy of the most common isotopomer of bromine,…

A: First the vibrational partition function is calculated.

Q: Calculate the vibrational and rotational contributions (with zero point energy) to the molar Gibbs…

A: To calculate the vibrational and rotational contributions to the molar Gibbs energy of a frozen…

Q: Plot the distribution (N;/N) of molecules among the various (a) rotational levels (J = 0-20) for CO…

A: 1. Rotational Energy Levels (J) for CO:Model: Rigid rotorRotational Quantum Number (J): J = 0 to J =…

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

Q: The lowest triplet state in naphtnalene (C10H8) is about below thne lowest excited by N2/N1 =…

Q: Here we calculate the heat capacity of nitrogen gas. The rotational temperature of nitrogen is Prot…

Q: Consider the of a diatomic molecule. Intensity 0 B. 2400 rotational-vibrational spectrum a. 18 cm-1…

A: In rotational vibrational spectrum of diatomic molecule, There is three type of spectrum line that…

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

Q: HO H2SO4

A: In elimination reaction a species leave the substrate and double or triple bond is formed.

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: sodium chloride molecule, 23NA35CI, which s present in the interstellar medium, are observed at…

A: The difference between two lines in today rotational spectroscopy is 2B Separation between 2 lines…

Q: 3. Consider the N-O bond. a) Use the Harmonic Oscillator Model to calculate the energy of vo and the…

Q: Among the following statements which one is the only correct one a. The rotational partition…

A: To find which of the following statements is correct.

Q: Please use the values in the resources listed below instead of the textbook values. Calculate the…

A: The correct solution is given below

Q: (V) Consider three molecules, H7ºBr and deuterated molecule D79Br and H$1Br. The lowest energy…

A: The lowest energy transition occur for rotational levels.

Q: Calculate the standard molar entropy of N2(g) at 298 K from its rotational constant B =1.9987cm−1…

Q: Q1: What will degree of freedom (trans, rot & vib) for the following molecules: a) NO, b) so, c)…

A: question 1. "Since there are multiple sub-parts in this question and you have mentioned to solve all…

Q: (McQuarrie 6-44) In this problem, we'll calculate the fraction of diatomic molecules in a particular…

A: The first term, (d/dJ) ln(c), is zero because ln(c) is a constant.The second term, (d/dJ) ln(2J+1),…

Q: 10. The first five vibrational energy levels of ¹H³5Cl are at 1481.86, 4367.50, 7149.04, 9826.48,…

Q: The spacing between two adjacent lines in the pure rotational spectrum of a diatomic molecule is…

Q: A. Calculate fractions of 12 molecules in their ground, first excited, and second excited…

A: Let's go through the calculations for each part.### Part A: Calculating Fractions of I_2 Molecules…

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: he lowest electronic levels for 14N 160 have the following characteristics: Calculate, for 5000 k,…

A: The objective of the question is to calculate the fraction of molecules in the 3 electronic levels,…

Q: 1. Use the equipartition principle to estimate the value of γ = Cpm/CVm for gaseous N2O5. Do this…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Calculate the rotational partition function for nitric oxide (NO) at 20 K using the summation…

Q: Consider a system of 1 mole of CO (g) molecules. The internuclear distance is 1.128 × 10-10 m, the…

A: The objective of the question is to calculate the total free energy for at and pressure .

Q: Calculate the ratio of the rotational partition functions of 3CSCI to that of 3$C³³CI under…

Q: SH CH3 CH₂-CH-CH3 Spell out the IUPAC name of the compound. butan-2-ol Submit Previous Answers…

A: The rules of IUPAC nomenclature can be summarised as-Select the longest carbon-containing chain,…

Q: The lowest triplet state in naphthalene (C10H8) is about 11,000 cm-1 below the lowest excited…

A: The objective of the question is to calculate the ratio of populations in the lowest triplet state…

Q: Calculate the values of the rotational and vibrational partition functions of CO2 at 300 K, given…

A: In the given problem, the rotational and vibrational partition function of CO2 at 300 K, The…

Q: Please don't provide handwritten solution

A: The formula for the quantum translational states is:Where V is the volume and , where h is the…

Q: 1. The energy gap between the ground state and next levels in NO is A 15.4 meV. Find the electronic…

A: Given,The energy gap of the ground state and the next levels of NO: To the electronic contribution…

Q: h. Review the energy distribution and partition (only rotational kinetic energy). i. Review the…

A: To determine the partition function and energy distribution of for rotation, vibration and…

Q: The force constants for ¹H₂ and 79Br₂ are 575 and 246 N-m-¹, respectively. The atomic masses for ¹H₂…

A: Given,The force constant of H2= 575 N/mThe force constant of Br2 =246 N/mTo find the vibrational…

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

In the water and nitrogen molecules, do they have the same electronic partition function? Explain it briefly
6
Gg.146.
Part A Determine the total molecular partition function for gaseous H2O at 1000. K confined to a volume of 2.20 cm³ . rotational constants for water are BA = 27.8 cm-1, BB = 14.5 cm-1, and Bc = 9.95 cm-1. The vibrational frequencies are 1615, 3694, and 3802 cm-. The ground electronic state is nondegenerate. (Note: the Avogadro's constant NA The 6.022 x 1023 mol-1). Express your answer to three significant figures. Ην ΑΣφ ? 1.29 • 1029 Itotal = Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining
Calculate the vibrational contribution (q) of N₂(g) in the standard state (298 K and 101325 Pa). The rotational constant is B= 1.9987 cm-1 and the vibrational wavenumber is = 2358 cm-1.
The NO molecule has a doubly degenerate electronic ground state and a doubly degenerate excited state at 121 cm-1. Calculate and plot the electronic contribution to the molar heat capacity of the molecule up to 400 K.
rotational-vibrational spectrum 2700 Consider the of a diatomic molecule. Intensity 0 2400 2500 2600 (cm³) Estimate the value of the rotational constant B. O a. 30 cm ¹¹ O b. 9 cm-1 O c. 18 cm 1 O d. 23 cm ¹ O e. 12 cm ¹¹ B O m
How many Degrees of Freedom does benzene have (do not include H's) and how many vibrational degrees of freedom does Fe(CO)5 have?
6.
18. Which of the following is the definition of internal energy of a system? a.it is the sum of the kinetic energy of all of its components b.it is the sum of the rotational, vibrational, and translational energies of all of its components c.lt refers only to the energies of the nuclei of the atoms of the component molecules d.It is the sum of the potential and kinetic energies of the components
1. Write down the equation used to account for the variation of molar heat capacity of a material at constant pressure with temperature assuming that the temperature range is significant.
16.55 What are the most probable populations of the first sev- eral vibrational levels of O2(g) at 1000 K? The characteristic vi- brational temperature is 2274 K.