7.35 CALC The potential energy of two atoms in a diatomic mol- ecule is approximated by U(r) = (a/r¹²) - (b/16), where r is the spacing between atoms and a and b are positive constants. (a) Find the force F(r) on one atom as a function of r. Draw two graphs: one of U(r) versus r and one of F(r) versus r. (b) Find the equilibrium dis- tance between the two atoms. Is this equilibrium stable? (c) Suppose the distance between the two atoms is equal to the equilibrium distance found in part (b). What minimum energy must be added to the molecule to dissociate it—that is, to separate the two atoms to an infinite distance apart? This is called the dissociation energy of the molecule. (d) For the molecule CO, the equilibrium distance between the carbon and oxygen atoms is 1.13 x 10-10 m and the dissociation energy is 1.54 × 10-18 J per molecule. Find the values of the constants a and b.

7.35 CALC The potential energy of two atoms in a diatomic mol- ecule is approximated by U(r) = (a/r¹²) - (b/16), where r is the spacing between atoms and a and b are positive constants. (a) Find the force F(r) on one atom as a function of r. Draw two graphs: one of U(r) versus r and one of F(r) versus r. (b) Find the equilibrium dis- tance between the two atoms. Is this equilibrium stable? (c) Suppose the distance between the two atoms is equal to the equilibrium distance found in part (b). What minimum energy must be added to the molecule to dissociate it—that is, to separate the two atoms to an infinite distance apart? This is called the dissociation energy of the molecule. (d) For the molecule CO, the equilibrium distance between the carbon and oxygen atoms is 1.13 x 10-10 m and the dissociation energy is 1.54 × 10-18 J per molecule. Find the values of the constants a and b.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 48PQ: In 2011, artist Hans-Peter Feldmann covered the walls of a gallery at the New York Guggenheim Museum...

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