9. The rotational spectrum of HCN is in far-infrared region, one part is 2.96 cm", 5.92 cm*, 8.87 cm², 1183 cm*. Calculate the following for HCN molecule (1) The rotation partition function at 300K (2) The contribution of rotation to the molar constant-volume heat capacity

9. The rotational spectrum of HCN is in far-infrared region, one part is 2.96 cm", 5.92 cm, 8.87 cm², 1183 cm. Calculate the following for HCN molecule (1) The rotation partition function at 300K (2) The contribution of rotation to the molar constant-volume heat capacity

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

Similar questions

1. Consider water (H₂O) at high temperature. [Give some reasoning, not just values.] a. b. C. d. Determine ftrans the number of translational degrees of freedom. Determine frot the number of rotational degrees of freedom. Determine fib the number of vibrational degrees of freedom. Determine Cy the heat capacity of water at constant number and volume.
Chemistry thermochemistry equation V. Answer the following problems: 1. As ample of neon of mass 8.00 g occupies 20.5 dm³ at 305K. (a) Calculate the work done when the gas expands isothermally against a constant external pressure of 9.8 kPa until its volume has increased by 4.5 dm³ (b) Calculate the work that would be done if the same expansion occurred reversibly.
For this problem, use the "Thermodynamic Properties of Selected Substances" table in the "Reference Data" section at the back of your textbook. Suppose you have a mole of methane (CH., otherwise known as "natural gas") at 25°C and atmospheric pressure. (a) rotational, with vibrational frozen out). Further suppose we choose the reference point for the thermodynamic potentials such that we neglect the rest energies of the molecules, and express U as simply 3NRT. Calculate S, H, F, and G for the mole of methane. Suppose the methane behaves as an ideal gas with 6 degrees of freedom (3 translational + 3 If you raise the temperature of the mole of methane to 28°C (keeping the pressure constant), (b) what is the change in its Gibbs free energy? When methane is burned as fuel, the following chemical reaction takes place: CH, + 20, - 2H;0 + CO, (c) Determine the values of AG and AH for this reaction. (d) How much heat is produced in this reaction, per mole of methane?
This problem explores the vibrational and rotational energy levels of the hydrogen halides. Experimental data are given below. Hydrogen halides kf (kg/s²) R (pm) HF 970.0 91.7 HCI 480.0 127.5 HBr 410.0 141.4 HI 320.0 160.9 For one mole of each HF, determine the following quantities. ΔΕ1Ο 8.29 x10-20 J b. The number of vibrational energy levels occupied at 300 K j = 2 levels c. The spacing between the two lowest rotational energy levels 7.73 x10-32 ΔΕ10 J Incorrect d. The number of rotational energy levels occupied at 300 K 5 j = levels Incorrect
Derivation Calculate the entropy of HBr at 298 K and 1.00 bar, given that the bond length is 1.41 Å and the masses of ¹H and 79Br are 1.008 amu and 78.92 amu, respectively. The vibrational wavenumber is 2649 cm-¹. Step 1 of 7 Provide the equation needed to calculate the translational contribution to the total entropy. (Use the following as necessary: h, kB, m to represent the mass, P, T, and T.) (²³1) (2πmkT) h³ Strans = R In kµT (²/2) e P (2πmkBT) ³ kBT h³ P Step 2 of 7 Substitute numerical values into the equation from Step 1 to obtain a numerical calculation for the translational entropy contribution. Strans = 163.61 163.484901080763 J.K-1.mol-1 Step 3 of 7 Provide the equation needed to calculate the rotational contribution to the total entropy. (Use the following as necessary: h, I, kB, 7, σ, and T.) Srot = R In 8n²lkpT oh² + R 87² IkBT oh² Step 4 of 7 Substitute numerical values into the equation from Step 3 to obtain a numerical calculation for the rotational entropy…
Step 1 of 7 Give the equation for the Helmholtz energy, A. (Use the following as necessary: S, T, and U.) A = U-TS U-TS Give the equation for entropy that contains the canonical partition function, Q. (Use the following as necessary: E, kB, Q, and T.) E S = kaln(Q)+ E T kB ln (Q) + 4 Step 2 of 7 We only need to consider the translational translational partition function for an ideal monatomic gas, so E = U - Uo. Combine this equation with the equations for S and A from Step 1. (Use the following as necessary: kB, Q, T, U, and Up.) A = -Tk ln(Q) + U₁ U₁ - kBT ln(Q) Step 3 of 7 Substitute the equation from Step 2 into the given equation for P and complete the partial derivative. (Use the following as necessary: KB, Q, T, U, and Up.) P = -(3x), ・ (a In (@)), · KB¹ KBT Step 4 of 7 For an ideal monatomic gas, the following is true. (Use the following as necessary: T, U, and V.) UT 0 Step 5 of 7 Give the equation for the canonical partition function Q. Remember that only the translational…
Determine the standard molar entropy of N2 (ν˜ = 2359 cm−1 , B = 2.00 cm−1 and electronic ground state has degeneracy 1 under standard thermodynamic conditions. You can assume ideal gas behaviour. 1. Calculate the standard internal molar energy U 2. Calculate the standard molar entropy S (standard thermodynamic conditions means T = 298 K and P = 1 atm.).
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.
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
The contributions to the molar heat capacity of a N2(g) at 273 K are: (A) Cv(translational) < Cv(rotational) < Cv(vibrational) (B) Cv(vibrational) < Cv(rotational) < Cv(translational) (C) Cv(rotational) < Cv(vibrational) < Cp(translational) (D) Cv(rotational) < Cv (translational) < Cv(vibrational)
Calculate AS (for the system) when the state of 2.00 mol diatomic perfect gas molecules, for which Cp,m = (7/2)R, is changed from 25 C and 1.50 atm to 135 C and 7.00 atm.
The ratio between the translational partition function of H2 to that of unknown gas X2 at 400 K is 80. if the thermal de Broglie wavelength of H2 is 61.71 pm, what would be the thermal de Broglie wavelength of the unknown gas in pm assuming that both gases are confined in the same volume.