CH2CHG
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CH2CHG
1. Answer ALL parts.
(a) What is the practical relevance of the Liouville theorem?
[5%]
(b) Calculate the coordination number, up to r = 6 Å, for a model liquid of number density 0.01
Å-3 which g(r) can be written as:
g(r) = ✓ ◆ +1
[20%]
(c) The vibrational temperature of the K2 and O2 molecules is 133 K and 2256 K, respectively. Sketch on the same plot the qualitative trend of the population of the vibrational levels of both K2 and O2 at 300 K.
[20%]
(d) Consider the following ionization reaction:
K ! K+ + e −
i. Calculate the translation partition function of reactants and products at temperature T = 2000 K. Consider a volume V = 1 m3 . The mass of K and e- is 6.49•10-26 Kg and 9.1•10-31 Kg.
[25%] ii. Calculate the electronic partition function of reactants and products, assuming they
are all in their ground state. Note that K has the following electronic configuration: [Ar]4s1 , which is characterised by a degeneracy of 2. The electron is also characterised by a degeneracy of 2.
[20%] iii. Write down the equilibrium constant for this reaction in terms of partition functions.
[10%]
2022-08-18