QUESTION 1 [TOTAL MARKS: 33.33]
Q.1(a) [6.33 Marks]
The vibrational energy levels Eν of the H2 molecule, in its 1Σ electronic state, are
given by
Eν = Evib
ν +
1
2
,
where Evib = 4395.24 cm−1 is the vibration frequency (in wavenumber units) and v =
0, 1, 2, ... is the vibrational quantum number. Calculate the values of E0, E1, and E2 in
cm−1.
Q.1(b) [7 Marks]
Molecular hydrogen is at atmospheric pressure (105 Pa = 1 atm) and room
temperature T = 300 K corresponding to a number density n of H2 molecules.
Determine the number density of H2 molecules assuming ideal gas behaviour.
(Boltzmann constant: kB = 1.38 × 10−23J/K)