Chapter 14, Problem 14.4NP

Calculate the value of the translational partition function for 1H 35Cl at temperature T = 406 K in a 1.0 L container

Calculate the rotational partition function of SO2 at 298 K from its rotational constants 2.027 36 cm–1, 0.344 17 cm–1, and 0.293 535 cm–1 and use your result to calculate the rotational contribution to the molar entropy of sulfur dioxide at 25 °C.

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?

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).

The vibrational wavenumber of Br2 is 323.2 cm−1. Evaluate the vibrational partition function explicitly (without approximation) and plot its value as a function of temperature. At what temperature is the value within 5 per cent of the value calculated from eqn 13B.16, which is valid at high temperatures?

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?

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 ground configuration of carbon gives rise to a triplet with the three levels 3P0, 3P1, and 3P2 at wavenumbers 0, 16.4, and 43.5 cm-1, respectively. (a) Eva luate the electronic partition function of carbon at (i) 10 K, (ii) 298 K, (b) Hence derive an expression for the electronic contribution to the molarinternal energy and plot it as a function of temperature. (c) Evaluate the expression at 25 °C.

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.