52.21b) Calculate the ratio of the translational partition umctionsd at the same temperature and volume.
lal partiion functions of H, and that A num 38.2(b) Calculate the ratio of the translational partition functions of Ar and E138 at the same temperature and volume. Ne at the same temperature and volume.
Calculate the value of the translational partition function of O2 at 300 K for a volume of 1 m3. Submit your answer multiplied by 10−32 (i.e. if you calculate 4.2e33, input 42).
Determine the volume of a container for which the translational partition function for atomic hydrogen is 1.0 states per atom at a temperature of 273 K. Comment on your answer.
If thermal properties reveal a sample of F2 gas to
have a one-molecule translational partition function
qtrans of 2.29⋅10^26, and a second sample of a pure,
unknown diatomic homonuclear gas is found to have a
qtrans of 1.45⋅10^26 at the same temperature and volume,
what is the second gas?
trans of 2.29. 104, and a second sample of a pure, unknown diatomic homonuclear gas is found to have a trans of 1.45 . 102 at the same temperature and If...
3. (8 pts) Calculate the thermal wavelength and translational contribution to the molecular partition function for chlorine gas at 333 K in a volume of 0.693 m'.
Calculate the translational partition function of a helium atom (mHe = kg) at 297 K in a container of volume 0.6 m3 (use m3 in the expression and not dm3 or L). Express your answer in scientific notation with three significant figures (X.XXEXX).
1. Calculate (a) the thermal wave-length (in pm) and (b) the translational partition function of H atom in a cubic box of side 1.0 cm at 300 K. (c) Can a hydrogern molecule be considered as a classical system (as a diatomic molecule in whiclh hydrogen atoms behave classically) at this temperature? Explain why.
-2 points Calculate the translational partition function at (a) 300 K and (b) 600 K of a molecule of molar mass 280 g mol'" in a container of volume 2.30 cm2. Ger at 300 K Qu at 600 K Note: this i s a measure of the vast number of accessible microstates of translation available to a molecule under these conditions.
If thermal properties reveal a sample of N2 gas to have a one-molecule translational partition function qtrans of 1.45⋅10^26, and a second sample of a pure, unknown diatomic homonuclear gas is found to have a qtrans of 2.29⋅10^26 at the same temperature and volume, what is the second gas?
2. At T = 0, the standard translational partition function, qt,
= V/
, and standard rotational partition function, qr, = T⁄Θr, are not
valid.
a) Why? What important low-T behavior do they get wrong?
b) What are the true values of qt and qr at T = 0? Why?
c) Why are we using wrong expressions, how did this problem come
about?
e) Does the vibrational partition function have the same
problem? Why or why not?
d) How could...