he potential energy between two atoms in a particular molecule has the form U(s) = 2.6/x^8 - 4.3/x^4 where the units of x are length and the numbers 2.G and 4.3 have appropriate units so that U(x) has units of energy. What b the equilibrium separation of the atoms (that is the distance at which the force between the atoms is zero)?

x = 1.04866

Explanation:

Force can be defined from power energy by the expressions

          F =

in this case we are the expression of the potential energy

          U =

let's find the derivative

         dU / dx = 2.6 ( ) - 4.3 ()

         dU / dx =

we substitute

          F = + \frac{20.8}{ x^{9} }  - \frac{17.2 }{ x^{5} }

at the equilibrium point the force is zero, so

           20.8 / 17.2 = x⁴

            x⁴ = 1.2093

             x =

             x = 1.04866

i believe the answer would be:

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