Q3: The ratio between the translational partition function of Hz to that of unknown gas X2 at 400 K is 70. Calculate the thermal de Broglie wavelength of the unknown gas assuming that both gases are confined in the same volume. a) 2.54x1010 m b) 6.15x10 m c) 3.45x1012 m d) 4.54x1020 m e) 1.63x1029 m

Q3: The ratio between the translational partition function of Hz to that of unknown gas X2 at 400 K is 70. Calculate the thermal de Broglie wavelength of the unknown gas assuming that both gases are confined in the same volume. a) 2.54x1010 m b) 6.15x10 m c) 3.45x1012 m d) 4.54x1020 m e) 1.63x1029 m

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 18.4E

See similar textbooks

Similar questions

For one mole of Br2 (molar mass 159.82 g/mol, vibrational frequency 325 cm-1,rotational constant 0.082 cm-1, nondegenerate ground electronic state) gas at 400 Kand 1 bar, calculate the molecular rotational partition function.A) 1,695B) 3,390C) 4,560D) 5,735E) 6,256 Please type answer note write by hend
Imagine gaseous Kr at 298K confined to move in a two-dimensional plane of area 4.00 cm2. What is the value of the translational partition function?
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.
A certain atom has a 4-fold degenerate ground level, a 3-fold degenerate electronically excited level at 4000 cm-1, and a 4-fold degenerate level at 5500 cm-1.Part 1: Calculate the electronic partition function at 1900 K.Ans = __________ Part 2: Now calculate the electronic contribution to the molar internal energy at this same temperature. Ans = ________ kJ/molFor comparison purposes, it is instructive to consider that the translational contribution to the molar internal energy at this same temperature would be (3/2)RT or 23.69 kJ/mol. So it shows that even at these elevated temperatures, the electronic contribution is fairly small because excited electronic states are populated much less than excited translational states.
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.
Calculate, by explicit summation, the vibrational partition function of I2 molecules at (a) 100 K, (b) 298 K given that its vibrational energy levels lie at the following wavenumbers above the zero-point energy level: 0, 215.30, 425.39, 636.27, 845.93 cm−1. What proportion of I2 molecules are in the ground and first two excited levels at the two temperatures?
Calculating Partition Functions. Consider the acetylene molecule, which is linear and has the chemical structure H−C≡C−H. Calculate or determine the following: a. Symmetry number (?) and degrees of freedom b. Moment of inertia (I) and rotational temperature (Θr) c. Vibrational temperatures (Θv,i) d. Translational (qt), rotational (qr), vibrational (qv), and electronic (qe) partition functions at 298 K. e. Total partition function, (q/V). Helpful information: mass of H atom = 1.007947 amu mass of C atom = 12.01078 amu C≡C bond length = 1.203 Å C−H bond length = 1.060 Å vibrational frequencies = 1975, 3370, 3277, 729 (2), 600 (2) cm-1 (numbers in parenthesis indicate the degeneracy of that mode) ground state electronic degeneracy = 1
The ground configuration of oxygen gives rise to the three levels 3P2, 3P1, and 3P0 at 0, 158.5. and 226.5 cm-1, respectively. (a) Before doing any calculation, state the value of the partition function at T = 0. (b) Write an expression for the partition function at temperature T. Remember that a level with quantum number J has 2J + 1 states. Confirm that its value at T = 0 is what you anticipated. (c) Calculate the value of the partition function at 298 K. (d) Derive an expression for the electronic contribution to the molar heat capacity of an oxygen atom and plot it as a function of temperature. (e) Eva luate the expression at 25 °C.
Calculate the vibrational and rotational contributions (with zero point energy) to the molar Gibbs energy of a frozen solid form of carbon dioxide at 200 K. Vibrational frequencies are the following: singly degenerate 1388.2 cm-1 and 667.4 cm-1, and doubly degenerate 2349.2cm-1 . The rotational constant is 0.3902 cm-1. Please type answer not write by hend
A certain atom has a doubly degenerate ground level, a triply degenerate electronically excited level at 1250 cm-1, and a doubly degenerate level at 1300 cm-1. Calculate the partition function of these electronic states at 2000 K
What is the zero energy of an atom or molecule for a monatomic atom in the electronic partition function and translational. As well as zero energy for the molecule of a diatomic partition function of electronic, translational, rotational and vibrational? Want solution ASAP
N2O and CO2 have similar rotational constants (12.6 and 11.7 GHz, respect ively) but strikingly different rotational partition functions. Why?