Here we calculate the heat capacity of nitrogen gas. The rotational temperature of nitrogen is Prot = 2.88K. The vibrational temperature is Ovib = 3374K. Assume T=1000K. Part A Calculate the contribution of vibrational motions to the molar heat capacity of nitrogen at T=1000K Cv = Part B Submit Previous Answers Request Answer Cv = HÅ X Incorrect; Try Again; 4 attempts remaining Submit Value Part C What is the contribution of vibrational motions to the molar heat capacity of nitrogen gas according to the equipartition principle? Cv = μA Value Units Request Answer μÃ B) ? Value Units Calculate the molar heat capacity of nitrogen gas including contributions from translational, vibrational, and rotational degrees of freedom. Units 國」? ?

Here we calculate the heat capacity of nitrogen gas. The rotational temperature of nitrogen is Prot = 2.88K. The vibrational temperature is Ovib = 3374K. Assume T=1000K. Part A Calculate the contribution of vibrational motions to the molar heat capacity of nitrogen at T=1000K Cv = Part B Submit Previous Answers Request Answer Cv = HÅ X Incorrect; Try Again; 4 attempts remaining Submit Value Part C What is the contribution of vibrational motions to the molar heat capacity of nitrogen gas according to the equipartition principle? Cv = μA Value Units Request Answer μÃ B) ? Value Units Calculate the molar heat capacity of nitrogen gas including contributions from translational, vibrational, and rotational degrees of freedom. Units 國」? ?

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

The force constants for ¹H₂ and 79Br2 are 575 and 246 N·m-¹ respectively. The atomic masses for ¹H₂ and 79 Br2 are 1.0078 amu and 78.9183 amu, respectively. Part G Calculate the ratio of the vibrational state populations no/no for 79Br2 at 280. K. Express your answer to three significant figures. VE ΑΣΦ n₂/no = Submit Request Answer Part H Calculate the ratio of the vibrational state populations n₂/no for 79Br2 at 1190. K. Express your answer to three significant figures. 195 ΑΣΦ n₂/no = Submit Request Answer ? P ?
Question 16 The most intense peak in a pure rotational spectrum of a gas of a diatomic molecule with rotational constant 4.560 cm¹¹ was found to correspond to transitions out of the J = 10 rotational energy level. Assuming that the molecule behaves as a rigid rotor, estimate the temperature (in K) at which this spectrum was measured. (Give your answer to at least 3 significant figures.)
7 The fundamental vibrational wavenumber ( ṽ) for 1H 127I molecule is 23096 cm-1 A. Determine the force constant (k) of 1H 127I B. Calculate the value of for 2H 127I. Show all calculations and the units. Explain the reasoning
1. The energy gap between the ground state and next levels in NO is A=15.4 meV. Find the electronic contribution to the molar heat capacity at T₁ = 50 K and T₂= 500 K.
The four lowest electronic levels of a Ti atom are: J = 2, 3, 4 and 1, at 0, 170, 387 and 6557 cm-1, respectively. There a many other electronic states at higher energies. The boiling point of Ti is 3287 oC. What are the relative populations of these levels at the boiling point if the degeneracy of levels is 2J + 1? Is the ground state most highly populated level?
Consider the rotational temperatures of the following hetero diatomic molecules: θr(CO) = 2.1 K, θr(HF) = 30.2 K. In which case would the classical approximation be accurate? Justify your answer.
The Hydrogen molecule vibrates at a frequency of 1.23 x 10¹4 Hz for v = 0 to v = 1 transition. Calculate a.) The force constant of the H-H bond b.) The energy separation between v = 1 and v = 2, assuming that the hydrogen molecule behave as an ideal harmonic oscillator.
Q 1. Use the equipartition principle to estimate the value of γ = Cpm/CVm for gaseous CH3COOH. Do this calculation WITH the vibrational contribution to the energy.
But molecules combine both vibrational and rotational states in such a way that both selection rules must be satisfied if we are only talking about absorption or emission of electromagnetic radiation (i.e. photons). 5 1 images from Krane Ch 9. Relative absorption : 0.330 L=3 to L=2 L=2 to L = 1 Electronic excited state. Electronic ground state L→ L-1 L = 1 to L = 0 Ť 0.340 0.350 SE Energy (eV) 2B 0.360 : hf L=0 L=1 L=2 to to to L = 1 L = 2 L = 3 Photo 4 1 3 1 2 1 1 0 1 1 5 0 4 0 30 20 1 0 0 0 LN L→ L+1 0.370 0.380 no emission here because AL # 0, AL = +1 AN = ±1, HCI spectra. In the middle of the gap is the energy hf that would correspond to a pure vibrational transition, which would violate the rotational selection rule. What is the value of hf for the HCI spectra?
Calculate the vibrational and rotational temperatures (Ovib and Orot) for the diatomic molecular Lithium Hydride (LiH). The Li-H bond length is 0.1595 nm and the vibrational frequency (VL¡H) is 1405 cm'.
A rotating methane molecule is described by the quantum numbers J, MJ, and K. (a) For methane, how many rotational states have an energy equal to hBJ(J + 1) with J= 8? (b) Now consider chloromethane. How many rotationalstates have an energy equal to hBJ(J + 1) with J = 8?
Fill the below table with the Molar heat capacity (Cv) of a system: translations, rotations, and vibrations (In the classical limit). System Translation Rotation Atoms Di-atomic molecules ⇓ Vibration