The table below gives the Lennard-Jones parameters for some different substances. He Ne H2 O2 N2 CH4
Question:
The table below gives the Lennard-Jones parameters for some different substances.
He Ne H2 O2 N2 CH4 CO2 Cl2
σ [nm] 0.26 0.28 0.30 0.43 0.37 0.38 0.40 0.41
ε [×10−22 J] 1.41 4.93 4.60 15.6 12.6 18.9 26.2 49.3
(a) In Lennard-Jones theory, the molar enthalpy of vaporisation is estimated as
∆Hvap = 1/2 nLε,
where L = 6.02 × 1023 mol−1 is Avogadro’s number.
(i) State the meaning of n and also two fundamental assumptions necessary to find the expression for ∆Hvap .
(ii) How much energy is carried away by the evaporation of 200 cm3 of liquid nitrogen (molar volume 35 cm3/mol)?
(b) Find an estimate for the surface tension of liquid oxygen.
Introduction to Mathematical Statistics and Its Applications
ISBN: 978-0321693945
5th edition
Authors: Richard J. Larsen, Morris L. Marx