- 44 The Potential Energy V Of Two Gas Molecules Separated V By A Distance R Is Given By 6 V 1 2 V R Where 1 (65.22 KiB) Viewed 50 times
44. The potential energy, V, of two gas molecules separated V by a distance r is given by 6 v = -1 (2) - )") -V. r where
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44. The potential energy, V, of two gas molecules separated V by a distance r is given by 6 v = -1 (2) - )") -V. r where
44. The potential energy, V, of two gas molecules separated V by a distance r is given by 6 v = -1 (2) - )") -V. r where Vo and ro are positive constants. (a) Show that if r = ro, then V takes on its minimum value, -Vo. (b) Write V as a series in (r – ro) up through the quadratic term. (C) For r near ro, show that the difference between V and its minimum value is approximately pro- portional to (r – ro). In other words, show that V-(-V.) = V+Vo is approximately proportional to (r – ro) (d) The force, F, between the molecules is given by F = -dV/dr. What is F when r = ro? For r near ro, show that F is approximately proportional to (r-ro).
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