A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. E trans = (n +n + n²) E rot = J (J + 1) h² 87²1 Evib = (v + ¹2 ) ₁ hv h² 8mV (2/3) In the equations, nx, ny, nz, J, and u are quantum numbers, h is Planck's constant, m is the mass of the molecule, V is the volume of the container, I is the moment of inertia of the molecule, and v is the fundamental vibration frequency. For carbon monoxide, CO, the moment of inertia is I = 1.45 x 10-46 kg-m², and the fundamental vibration frequency is v = 2130 cm-¹. Let V = 12.5 L, and let all the quantum numbers be equal to 1. Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions.

A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. E trans = (n +n + n²) E rot = J (J + 1) h² 87²1 Evib = (v + ¹2 ) ₁ hv h² 8mV (2/3) In the equations, nx, ny, nz, J, and u are quantum numbers, h is Planck's constant, m is the mass of the molecule, V is the volume of the container, I is the moment of inertia of the molecule, and v is the fundamental vibration frequency. For carbon monoxide, CO, the moment of inertia is I = 1.45 x 10-46 kg-m², and the fundamental vibration frequency is v = 2130 cm-¹. Let V = 12.5 L, and let all the quantum numbers be equal to 1. Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions.

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

It takes 163./kJmol to break an nitrogen-nitrogen single bond. Calculate the maximum wavelength of light for which an nitrogen-nitrogen single bond could be broken by absorbing a single photon. Be sure your answer has the correct number of significant digits.
1:25 A O * N 5GUC I 67%, Show What You Know: Learning... KO> O 8 de 8 A new band sensation is playing a concert and recording it for a live album to be released this summer. The band asks the sound mixer if he can autotune the singer who has a habit of singing slightly lower than the note. What would the mixer need to do to the sound wave? How would it affect the characteristics of the wave? В I |Revisión 田 !!!
t takes 338./kJmol to break an carbon-chlorine single bond. Calculate the maximum wavelength of light for which an carbon-chlorine single bond could be broken by absorbing a single photon. Round your answer to 3 significant digits.
Emission of microwave radiation from the J = 10 transition of a molecule has been detected at 88.63 GHz from a region of interstellar space in which there is evidence of thermal equilibrium and a temperature of around 50 K. Estimate the frequency and relative intensity of the J = 2 → 1 transition of the same molecule.
. One way in which a water molecule can vibrate has a measured angular frequency of @= 3.0 × 10¹4 s 1. What is the value of ħo in eV for this system if we model it as a simple harmonic oscillator? what are its lowest three possible energy values?
Assuming HCl and DC1 have the same force constant (k) or potential energy, V(x) = kx², what is the vibrational frequency of DC1 if the vibrational frequency for HCl is 3000 cm ¹? (the atomic masses for H atom, D, atom and Cl atom are 1, 2, and 35, respectively) A. 516 cm-¹ B. 1250 cm-¹ C. 2150 cm-¹ D. 3000 cm-¹ E. 4190 cm-¹
An HCl molecule initially in the (v, J) = (0, 2) quantum state can absorb infrared photons. What are the two most likely final quantum states after absorbing an infrared photon? Calculate the energy of the infrared photonabsorbed for each of these transitions. Can it also absorb a microwave photon? If yes, calculate that photon energy also. The rotational constant of HCl is 10 cm-1 and its vibrational frequency is 2990 cm-1.
The photoelectron spectra of elements X and Y are shown below. What is the most likely chemical formula of the compound made from these elements? X 42.7 2.90 390 34.0 4.65 0,59 100 10 1 lonization Energy (MJ/mol) Y 67.2 1.68 3.88 100 10 lonization Energy (MJ/mol) O XY2 O XY ) X3Y2 O XY3 Number of Electrons Number of Electrons
The Morse potential energy is very useful as a simple representation of the actual molecular potential energy. When 85Rb1H was studied, it was found that ˜ν = 936.8 cm−1 and x_eν˜ = 14.15 cm−1. Plot the potential energy curve from 50 pm to 800 pm aroundRe = 236.7 pm. Then go on to explore how the rotation of a molecule may weaken its bond by allowing for the kinetic energy of rotation of a molecule and plotting V∗ = V + hcBJ˜ (J + 1) with B˜. Plot these curves on the same diagram for J = 40, 80, and 100, and observe how the dissociation energy is affected by the rotations. Hints: Taking B˜ = 3.020 cm−1 as the equilibrium bond length will greatly simplify the calculation. The mass of 85Rb is 84.9118mu
A local FM radio station broadcasts at an energy of 6.11 x 107 -29 kJ/photon. ( 1 MHz = 106 s-¹) Calculate the frequency at which it is broadcasting. Frequency = | MHz
Assume that for ¹H35 Cl molecule the rotational quantum number J is 11 and vibrational quantum number n = 0. The isotopic mass of ¹H atom is 1.0078 amu and the isotopic mass of 35 C1 atom is 34.9688 amu, k = 516 N · m¯¹, and x = 127.5 pm. Part E Calculate the period for vibration. Express your answer in seconds to three significant figures. Tvibrational = Part F Submit Previous Answers 1.12x10-14 s Correct Correct answer is shown. Your answer 1.1181.10-¹4 = 1.1181x10-14s was either rounded differently or used a different number of significant figures than required for this part. Calculate the period for rotation. Express your answer in seconds to four significant figures. Trotational = ΑΣΦ W ? S
Given the following processes and their respective enthalpies in kJ/mol: Li(s) --> Li(g); DHs = +161 Li(g) --> Li+(g) + e–; IE1 = +520 F2(g) --> 2F(g); BE = +160 F(g) + e– --> F-(g); EA = -328 Li+(g) + F-(g) --> LiF(s); UL = x If the reaction: Li(s) + ½F2(g) --> LiF(s) has DHf= -616.0 kJ/mol, deduce the value of x for UL (lattice energy in kJ/mol) in LiF. (A) -1129 (B) -1049 (C) -183 (D) -103