The potential energy, V , of two gas molecules separatedby a distance r is given byV =
Chapter 10, Problem 45(choose chapter or problem)
The potential energy, V , of two gas molecules separatedby a distance r is given byV = V02r0r6r0r12,where V0 and r0 are positive constants.(a) Show that if r = r0, then V takes on its minimumvalue, V0.(b) Write V as a series in (r r0) up through thequadratic term.(c) For r near r0, show that the difference betweenV and its minimum value is approximately proportionalto (r r0)2. In other words, show thatV (V0) = V +V0 is approximately proportionalto (r r0)2.(d) The force, F, between the molecules is given byF = dV /dr. What is F when r = r0? For rnear r0, show that F is approximately proportionalto (r r0).
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