Calculate the rotational partition function for a non-linear molecule whose σ=5 at 25°C. Given A = 4.828 cm-1 , B = 1.015 cm-1 and C = 0.824 cm-1.
Q: Calculate the thermal wavelength and the translational partition function at 300. K and 3000. K of a…
A:
Q: Q3: The ratio between the translational partition function of Hz to that of unknown gas X2 at 400 K…
A: Given: The ratio between the translational partition function of H2 to unknown gas is 70. This…
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 CO2 molecule has four vibrational modes with wavenumbers 1388 cm-1, 2349 cm-1, and 667 cm-1, (the…
A:
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 (i) the thermal wavelength, (ii) the translational partition function at 300 K and 3000 K…
A: i)
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: Use the Boltzmann formula to calculate the low and high temperature limits of vibrational partition…
A:
Q: The H2O molecule is an asymmetric rotor with rotational constants 27.877 cm−1, 14.512 cm−1, and…
A: i) The value of rotational constants of H2O molecules are 27.877 cm-1, 14.512 cm-1 and 9.285 cm-1.…
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: 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: Evaluate the translational partition function of (a) N2, (b) gaseous CS2 in a flask of volume 10.0…
A: The mass of N2 in kg is calculated as shown below.
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: Calculate the vibrational partition function of CS2 at 500 K given the wavenumbers 658 cm−1…
A: The vibration partition function can be expressed as follows:
Q: What do you mean by the term equilibrium partition coefficient?
A: The Partition coefficients are used to measure the difference in solubility of the compound in two…
Q: Calculate the ratio of the rotational partition functions of 3$C13$Cl to that of 3$C1³C1 under…
A:
Q: N2O and CO2 have similar rotational constants (12.6 and 11.7 GHz, respect ively) but strikingly…
A: Interpretation - Why N2O and CO2 have similar rotational constants (12.6 and 11.7 GHz, respectively)…
Q: Give an example of 2 isomers of a molecule that have different values of the rotational partition…
A: Depend on position of methyl group of ethane ,ethane has two isomer. One is staggerd and other is…
Q: on Calculate the ratio of the rotational partition functions of 35C1 35Cl to that of 35Cl 33 Cl…
A:
Q: The methyl chloride molecule, CH3Cl, has three non-degenerate vibrations with harmonic wavenumbers…
A:
Q: Evaluate the rotational partition function of pyridine, C5H5N, at 25 °C given that ᷉ A = 0.2014…
A:
Q: 9. The rotational spectrum of HCN is in far-infrared region, one part is 2.96 cm", 5.92 cm", 8.87…
A:
Q: Estimate the rotational partition function of ethene at 25 °C given that ᷉ A = 4.828 cm−1, ᷉ B…
A: Given data contains, Planck's constant (h) is 6.626×10-34J/s. Boltzmann constant (k) is…
Q: Calculate the vibrational partition function of CCl4 at 500 K given the wavenumbers 459 cm−1…
A: Jajan
Q: Determine the total molecular partition function for gaseous H2O at 1000. K confined to a volume of…
A: Let qtotal be the total partition function including electronic, rotational, translational, and…
Q: The bond length of N2 is 109.75 pm. Use the high-temperature approximation to calculate the…
A: Introduction: Rotational partition function: The rotational partition function shows the…
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: The ground configuration of carbon gives rise to a triplet with the three levels 3P0, 3P1, and 3P2…
A: a) The electronic partition function of carbon at (i) 10 K, (ii) 298 K has to be given,
Q: Calculate, by explicit summation, the vibrational partition function of I2 molecules at (a) 100 K,…
A:
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: Plot the molar heat capacity of a collection of harmonic oscillators as a function of T/θV, and…
A: (a) At T = 298K qv= 1/1-ehcv/KT mode 1 2 3 4 5 v/cm 612 729…
Q: Consider a system having four energy levels. Assuming the levels have energy values of (0, 1, 4, 9,…
A: Given, Energy values of the following energy levels- For level Zero (0) , E0 = 0 JFor level 1 , E1…
Q: Calculate the molecular rotational partition function for 14N2 at 298"K for both molecules. The…
A:
Q: The vibrational wavenumber of Br2 is 323.2 cm−1. Evaluate the vibrational partition function…
A: Vibrational partition function refers to component of canonical partition function results from…
Q: Calculate the translational partition function at (a) 300 K and (b) 600 K of a molecule of molar…
A: The given molar mass is 100 g/mol. The conversion of 100 g/mol into kg/mol is as follows:1 g = 0.001…
Q: Calculate the vibrational partition function of HCN at 900 K given the wavenumbers 3311 cm−1…
A: The vibrational partition function of HCN at 900 K given the wavenumbers, 3311 cm-1, 712 cm-1, 2097…
Q: For carbon monoxide, the characteristic vibrational temperature is 3084K and the characteristic…
A:
Q: A certain atom has a doubly degenerate ground level, a triply degenerate electronically excited…
A:
Q: The rotational partition function for a sample of carbonyl sulfide (OCS) is found to be 25.0. Above…
A: EJ= J(J+1)
Q: NO is a well-known example of a molecular system in which excited electronic energy levels are…
A:
Q: What is the numerical value of the molecular partition function of a heteronuclear diatomic molecule…
A:
Q: 5. The vibrational modes of a particular molecule are listed below. Calculate the vibrational…
A: Given : S. No. Degenracy(m) wave no (cm-1) v1 1 206 v2 1 305 v3 2 1083 v4 3 1367
Q: The ratio between the translational partition function of H2 to that of unknown gas X2 at 400 K is…
A:
Q: Calculate the ratio of the translational partition functions of H2 and He at the same temperature…
A: Translational partition function: It is that part of the partition function resulting from the…
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…
Calculate the rotational partition function for a non-linear molecule whose σ=5 at 25°C. Given A = 4.828 cm-1 , B = 1.015 cm-1 and C = 0.824 cm-1.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- The three normal modes of water are the symmetric stretch (3652 cm¹), the antisymmetric stretch (3756 cm¹), and the bend (1595 cm¹). (a) Calculate the molecular vibrational partition function of water at 500 K. (b) At 500 K, what fraction of water molecules have the bend excited to v₂=1. What fraction of water molecules have the symmetric stretch excited to v₁=1? Why do more molecules have the bend excited? (c) At 500 K, what fraction of water molecules have both v2-1 and v₁=1 excited?Calculate the vibrational partition function of CCl4 at 500 K given the wavenumbers 459 cm−1 (symmetric stretch, non-degenerate), 217 cm−1 (deformation, doubly degenerate), 776 cm−1 (deformation, triply degenerate), 314 cm−1 (deformation, triply degenerate).What is the numerical value of the molecular partition function of a heteronuclear diatomic molecule given the following conditions: (i) the characteristic length is 10 nm and the volume in which the molecules are free to move is a cube with sides of 1 mm each. (ii) Only the first four rotational levels are accessible, but for some odd reason [to keep things simple] each state in each of those levels is equally populated. (iii) all molecules are in the ground vibrational state; (iv) the molecule has a triplet electronic ground level, like 02.
- Calculate the vibrational partition function of HCN at 900 K given the wavenumbers 3311 cm−1 (symmetric stretch), 712 cm−1 (bend; doubly degenerate), 2097 cm−1 (asymmetric stretch).Calculate the vibrational partition function of CS2 at 500 K given the wavenumbers 658 cm−1 (symmetric stretch), 397 cm−1 (bend; doubly degenerate), 1535 cm−1 (asymmetric stretch).The diatomic molecule N2 has a rotational constant B(~) = 2.0 cm-1 and a vibrational constant v(~) = 2400 cm-1. The symmetry number for the molecule is 2. Sorry that I cannot write the symbols properly here for the wavenumber versions of the spectroscopic constants. (a) Suppose that a high-temperature limit for a partition function gives the value q = 0.34. Comment on the value and whether the high-temperature limit is valid.
- b. The energy difference between consecutive vibrational states is 1.0 x 1020 J for a molecule. (i) Calculate the population ratio, n4/n¡, for this system at 298 K and discuss the significance of this ratio in terms of the distribution of molecules in the higher vibrational energy states. (ii) Estimate the vibrational partition function at 298 K. (iii) Estimate the fundamental vibration wave number for this molecule. h = 6.626 x 10-3ª J s k= 1.38 x 1023 J K' c = 2.998 x 10® m s''Use the Boltzmann formula to calculate the low and high temperature limits of vibrational partition function. Let 0=hv/k. BIU Σ 10 ►¶Describe the physical significance of the molecular partition function .
- Evaluate the translational partition function of (a) N2, (b) gaseous CS2 in a flask of volume 10.0 cm3. Why is one so much larger than the other?The vibrational wavenumber of Br2 is 323.2 cm−1. Evaluate the vibrational partition function explicitly (without approximation) and plot its value as a function of temperature. At what temperature is the value within 5 per cent of the value calculated from eqn 13B.16, which is valid at high temperatures?Calculate the value of the translational partition function for 1H 35Cl at temperature T = 406 K in a 1.0 L container