14.44) The lowest triplet state in naphthalene (C10H8) is about 11,000 cm-1 below then lowest excited singlet electronic level at 77 K. Calculate the ratio of the population in these two states. [Hint: The Boltzmann equation is given by N2/N1 = (g2/g1 exp(-ΔE/kBT), where g1 and g2 are the degeneracies for level 1 and 2.]

14.44) The lowest triplet state in naphthalene (C10H8) is about 11,000 cm-1 below then lowest excited singlet electronic level at 77 K. Calculate the ratio of the population in these two states. [Hint: The Boltzmann equation is given by N2/N1 = (g2/g1 exp(-ΔE/kBT), where g1 and g2 are the degeneracies for level 1 and 2.]

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter18: More Statistical Thermodynamics

Section: Chapter Questions

Problem 18.32E

See similar textbooks

Similar questions

Estimate the values of γ = Cp,m/CV,m for gaseous ammonia and methane. Do this calculation with and without the vibrational contribution to the energy. Which is closer to the experimental value at 25 °C? Hint: Note that Cp,m − CV,m = R for a perfect gas.
Use the equipartition principle to estimate the values of γ = Cp/CV for gaseous ammonia and methane. Do this calculation with and without the vibrational contribution to the energy. Which is closer to the experimental value at 25 °C?
the rotational constant for 1H35Cl is 10.6 cm-1 . What are the degeneracies, g, of the J=2, and J=3 rotational states?
Use the equipartition principle to estimate the value of γ = Cp/CV for carbon dioxide. Do this calculation with and without the vibrational contribution to the energy. Which is closer to the experimental value at 25 °C?
Estimate the rotational partition function of ethene at 25 °C given that ᷉ A = 4.828 cm−1, ᷉ B =1.0012 cm−1, and ᷉ C = 0.8282 cm−1. Take the symmetry number into account.
For 14N2, ΔG values for the transitions v= 1 ← 0, 2 ← 0, and 3 ← 0 are, respectively, 2329.91, 4631.20, and 6903.69cm-1. Calculate ?̃ and xe. Assume ye to be zero.
What do you mean by the term equilibrium partition coefficient?
The four lowest electronic levels of a Ti atom are 3F2, 3F3, 3F4, and 5F1, at 0, 170, 387, and 6557 cm−1, respectively. There are many other electronic states at higher energies. The boiling point of titanium is 3287 °C. What are the relative populations of these levels at the boiling point? Hint: The degeneracies of the levels are 2J + 1.
The ground configuration of carbon gives rise to a triplet with the three levels 3P0, 3P1, and 3P2 at wavenumbers 0, 16.4, and 43.5 cm-1, respectively. (a) Eva luate the electronic partition function of carbon at (i) 10 K, (ii) 298 K, (b) Hence derive an expression for the electronic contribution to the molarinternal energy and plot it as a function of temperature. (c) Evaluate the expression at 25 °C.
Evaluate the rotational partition function of pyridine, C5H5N, at 25 °C given that ᷉ A = 0.2014 cm−1, ᷉ B = 0.1936 cm−1, ᷉ C = 0.0987 cm−1. Take the symmetry number into account.
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?
N2O and CO2 have similar rotational constants (12.6 and 11.7 GHz, respect ively) but strikingly different rotational partition functions. Why?