The Lennard-Jones potential energy, U(x), is a function of \"x\" the distance between a pair of...

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Chemistry

The Lennard-Jones potential energy, U(x), is a function of \"x\"the distance between a pair of molecules. It is frequently calledthe van der Walls potential between molecules for dipole-dipoleinteractions. The potential is
U(x) = C12/ x^12 -C6/x^6Â Â Â Â Â Â Â Â Â Â Â Â [1]
Here we assume for water molecules:
C12 = 9.5 x 104\" Jâ€¢m12
C6 = 1 x 10-76 Jâ€¢m6.
(a) What is the separation distance (Xs) between two watermolecules where the applied force (F) to pull the molecules apartis a maximum. Recall F = dU/dx.
(b) Calculate the maximum force (Fmax) required to separate twowater molecules [overcome the cohesive force between themolecules].
(c) If oxygen has a mass of 16 g/mole and hydrogen has a mass of1 g/mole, using Avodadro's number (6 x 10^23 molecules/mole) andthe gravitational force of 9.8 m/s^2, calculate the force ofattraction (due to weight) of one water molecule toward Earth.
(d) How does the gravitational force compare to van der Waalsforce of attraction of two water molecules?

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3.8 Ratings (610 Votes)

a Ux C12x12 C6 x6 Now F ddx Ux ddxC12x12 C6 x6 12C12 x13 6 C6 x7 12 C12x13 6 C6 x7 1295104x13 6 11076 x7 F 11856x13 397x7 11856 x13 396 x7 It See Answer

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