The following have to do with rotational partition functions. a) What are the symmetry numbers o for the following molecules? i) 35CI3'C1 ii) 35C13$Cl iii) triangular H3*
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- 4. Spectroscopic measurements indicate that the rotational constants of SO2, a non-linear molecule, are 2.02736, 0.34417, and 0.29354 cm-1. Note: kg = 0.69503476 cm-1/K. (a) Compute zrot at T= 350 K assuming its symmetry number is o= 2. Hint: Using the rotational temperatures for the molecule might make this easier. (b) At what temperature would the partition function equal 2.0 × 104?4. The following have to do with rotational partition functions. a) What are the symmetry numbers o for the following molecules? i) "Cl'CI ii) "CP"CI iii) triangular H3* iv) All isomers of C:H.F2 v) CH,CI vi) benzene b) Assume at = 10 the high temperature limit is reached. At what temperature does the high OR temperature limit become valid for: i) DBr (B = 4.24 cm') ii) F"CI (B = 0.516 cm') %3D iii) Csl (B = 0.236 cm) %3D e ) Obtain Jmax and / for the temperatures obtained in part b) and at 500 K.4. What is the form of the total vibrational partition function for a polyatomic molecule?
- 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 remainingWhat is overall molecular partition function Q, and how it is constructed using the partition functions for each energetic degree of freedom?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.
- It is possible to approximate the rotational partition function for diatomic molecules by replacing the infinite sum over states with an integral. Why might this be less accurate for H₂? OH₂ has a smaller mass so its rotational constant will be very small. OH₂ has a very high vibrational frequency so the spacings between its energy levels will be large. O the moment of inertia for H₂ is OH₂ has a shorter bond length so its rotational constant will be very small. the integral diverges for smaller-sized diatomic molecules.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 16) 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?
- A system consists of three energy levels: a ground level (0 = 0, go = 1); a first excited level (₁ = 2kBT, 91 = 3); and a second excited level (&2 = 8kBT, 92 = 3). Calculate the partition function of the system. .406005 What is the probability for the third energy level? .0024787The 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!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?