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Calculate the ratio of the translational partition functions of H2 and He at the same temperature and volume.
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- Calculate the ratio of the translational partition functions of Ar and Ne at the same temperature and volume.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.Give an example of 2 isomers of a molecule that have different values of the rotational partition function at the same temperature.
- Evaluate the translational partition function for H2 confined to a volume of 191 cm³ at 328 K . (Note: the Avogadro's constant NA 6.022 x 1023 mol-1). Express your answer to three significant figures. Hν ΑΣφ ? qT (H2) = 3.17 • 1026 Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Part B Perform the same calculation for N2 under identical conditions. (Hint: Do you need to reevaluate the full expression for qT ?) Express your answer to three significant figures. ? qT (N2) =The bond length of N2 is 109.75 pm. Use the high-temperature approximation to calculate the rotational partition function of the molecule at 300 K.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 methyl chloride molecule, CH3Cl, has three non-degenerate vibrations with harmonic wavenumbers 3088, 1396 and 751 cm–1 respectively and three doubly-degenerate vibrations with harmonic wavenumbers 3183, 1496 and 1036 cm–1 respectively. Calculate the vibrational partition function for the methyl chloride molecule at 1200 K.What is the numerical value of the molecular partition function of a heteronuclear diatomic molecule given the following conditions: (i) the characteristic length is 10 nm and the volume in which the molecules are free to move is a cube with sides of 1 mm each. (ii) Only the first four rotational levels are accessible, but for some odd reason [to keep things simple] each state in each of those levels is equally populated. (iii) all molecules are in the ground vibrational state; (iv) the molecule has a triplet electronic ground level, like O2.Part A Determine the total molecular partition function for gaseous H2O at 1000. K confined to a volume of 2.20 cm³. The rotational constants for water are BA = 27.8 cm, BB = 14.5 cm¯', and Bc = 9.95 cm. The vibrational frequencies are 1615, 3694, and 3802 cm-. The ground electronic state is nondegenerate. (Note: the Avogadro's constant NA = 6.022 × 1023 mol-1). Express your answer to three significant figures. Ην ΑΣφ qtotal = Submit Request Answer
- 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.Use concepts of statistical thermodynamics to describe the molecular features that determine the magnitudes of equilibrium constants and their variation with temperature.Estimate the vibrational contribution to the molar entropy of the most common isotopomer of bromine, 79Br2, at 1000 K. The vibrational wavenumber for 79Br2 is 325 cm-1. You may assume that at this temperature, the equipartition theorem and the high temperature approximation for the vibrational partition function are both valid.