Estimate the ratio of the molecular translational partition function relative to Avogadro's number of a Helium gas confined in 2.0 liters at 28.4 K (Mass of helium= 4.0026 amu) O 7.0 O 629 O 58 O 756 9 194.9
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- 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.Calculate the value of the translational partition function for 1H 35Cl at temperature T = 406 K in a 1.0 L containerCalculate the translational partition function at (a) 300 K and (b) 600 K of a molecule of molar mass 100 g mol-1 in a container of volume 4.20 cm3.qtr at 300 K qtr at 600 K Note: this is a measure of the vast number of accessible microstates of translation available to a molecule under these conditions.
- Calculate the translational partition function at (a) 300 K and (b) 600 K of a molecule of molar mass 100 g mol-1 in a container of volume 4.20 cm3.a.) qtr at 300 K (ans is in x10^27 range)b.) qtr at 600 K (ans is in x10^27 range)Note: this is a measure of the vast number of accessible microstates of translation available to a molecule under these conditions.The bond length of O2 is 120.75 pm. Use the high-temperature approximation to calculate the rotational partition function of the molecule at 300 K.Calculate the ratio of the translational partition functions of H2 and He at the same temperature and volume.
- Evaluate the translational partition function of (a) N2, (b) gaseous CS2 in a flask of volume 10.0 cm3. Why is one so much larger than the other?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?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.
- The rotational partition function for a sample of carbonyl sulfide (OCS) is found to be 25.0. Above roughly what J value do we expect to see the population (the number of molecules per J level) rapidly decreasingEvaluate 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 frequency for the first excitation of the stretching mode in the HCl molecule was experimentally determined to be ? = 86.6 THz. calculate the partition function q for the stretching mode of HCL at room temperature (T=298K) assuming that it behaves as a harmonic oscillator. explain the significance of the obtained value.