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?
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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?
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- 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?Give an example of 2 isomers of a molecule that have different values of the rotational partition function at the same temperature.Calculate the molecular translational partition functions in a volume of 1 cm3 at 298°K for the hydrogen molecule: H2 O 1,173 x 1025 2.750 x < 1024 6.134 x 1025 O 1.118 x 1023 6.175 x 1024
- Calculate the ratio of the translational partition functions of Ar and Ne at the same temperature and volume.4. What is the form of the total vibrational partition function for a polyatomic molecule?What 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.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.Calculate the value of the translational partition function for 1H 35Cl at temperature T = 406 K in a 1.0 L container
- Calculate the vibrational partition function of CCl4 at 500 K given the wavenumbers 459 cm−1 (symmetric stretch, non-degenerate), 217 cm−1 (deformation, doubly degenerate), 776 cm−1 (deformation, triply degenerate), 314 cm−1 (deformation, triply degenerate).Calculate the vibrational partition function of CS2 at 500 K given the wavenumbers 658 cm−1 (symmetric stretch), 397 cm−1 (bend; doubly degenerate), 1535 cm−1 (asymmetric stretch).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) =