- Diatomic O2 And N2 Molecules Diatomic Oxygen And Nitrogen Molecules Can Stick To The Surface Of The Container Because O 1 (116.65 KiB) Viewed 18 times
4th Ed.) If you could please provide a clear and detailed solution
for the above parts and provide as much explanation as possible it
would be greatly appreciated, thank you!
Diatomic O2 and N2 molecules. Diatomic oxygen and nitrogen molecules can stick to the surface of the container because of van der Waals forces. Assume that these molecules are stuck to the surface with binding energy €, but are free to classically move on the surface and rotate about one axis with the moment of inertia I. (a) Show that the Helmholtz surface free enerrgy F of N, molecules stuck on a flat surface with area A is given by F(N5, A, T) = -N.€ – N koT In 2 IkBT h2 N.X2 where is the thermal de Broglie wavelength. (b) Find the heat capacity and explain the result using the equipartition theorem. (c) Calculate the two-dimensional “pressure" and the chemical potential.