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
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Q: The ratio between the translational partition function of H2 to that of unknown gas X2 at 400 K is…
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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.Part A 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. ΑΣφ ? qT(H2) = 1.89 • 1031 %3D Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remainingEvaluate 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) =
- 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?For all three of your assigned systems (Ne, Oxygen, Nitrous oxide), calculate the complete partition function (assuming a perfect gas) at T, = 2.00 and e, = 0.0500. Information on the symmetry number for your polyatomic molecules is posted in a table under the Reference section in the Content Library The symmetry number for rotational partition functions. Homonuclear diatomics: o=2 Heteronuclear diatomics: o=1 Polyatomics: Name Nitrous oxide 1Calculate the ratio of the rotational partition functions of 3C13 Cl to that of 3$C133C1 under identical conditions and at high temperature assuming identical bond distances. A) 1.03 B) 3.22 C) 0.52 D) 1.62 E) 2.05 The translational partition function for a noble gas confined to a volume of 1.0 L at 298 K is equal to 2.44× 10²9. What is the identity of this gas? A) He (M-4.00 g mol·') B) Ne (M-20.18 g mol) C) Kr (M-83.80 g mol") D) Xe (M=131.30 g mol) E) Ar (M-39.95 g mol")
- The H2O molecule is an asymmetric rotor with rotational constants 27.877 cm¹¹, 14.512 cm²¹, and 9.285 cm ¹. Calculate the rotational partition function of the molecule at (i) 25 °C, (ii) 100 °C. Hi! Need help with this physical chemistry question. Please explain steps and formulas thanks!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.The diatomic molecule N2 has a rotational constant B(~) = 2.0 cm-1 and a vibrational constant v(~) = 2400 cm-1. The symmetry number for the molecule is 2. Sorry that I cannot write the symbols properly here for the wavenumber versions of the spectroscopic constants. (a) Suppose that a high-temperature limit for a partition function gives the value q = 0.34. Comment on the value and whether the high-temperature limit is valid.
- 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 02.In the water and nitrogen molecules, do they have the same electronic partition function? Explain it briefly6) Molecular partition function a) Write down the expressions for molecular partition function over states and levels, and explain the terms used in them, and the difference between two forms. b) If a molecule is confined to the non-degenerate energy levels: 0, ɛ, 2ɛ, what will be i) the molecular partition function of this molecule? ii) the fractional populations of each three levels? c) Answer the question b) above for the degeneracies of levels: 1, 2, 4?