The potential energy of two atoms in a diatomic molecule is approximated by U (r) = a/r12 – b/r°, where r is the spacing between atoms and a and b are positive constants. Part A Find the component of force along the line connecting the two atoms, F,(r), on one atom as a function of r. Express your answer in terms of the variables a, b, and r. F,(r) = Submit Request Answer Part B Find the equilibrium distance between the two atoms. Express your answer in terms of the variables a and b. ΑΣΦ Tmin = Submit Request Answer Part C Is this equilibrium stable? yes no Submit Request Answer

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What's the answer for part A, B, C, D, E and F?

21 of 32
Constants
The potential energy of two atoms in a diatomic molecule is approximated by
U (r) = a/r12 – b/rô, where r is the spacing between atoms and a and b are
positive constants.
Part A
Find the component of force along the line connecting the two atoms, F, (r),
on one atom as a function of r.
Express your answer in terms of the variables a, b, and r.
?
F,(r) =
Submit
Request Answer
Part B
Find the equilibrium distance between the two atoms.
Express your answer in terms of the variables a and b.
?
Tmin =
Submit
Request Answer
Part C
Is this equilibrium stable?
yes
no
Submit
Request Answer
Transcribed Image Text:21 of 32 Constants The potential energy of two atoms in a diatomic molecule is approximated by U (r) = a/r12 – b/rô, where r is the spacing between atoms and a and b are positive constants. Part A Find the component of force along the line connecting the two atoms, F, (r), on one atom as a function of r. Express your answer in terms of the variables a, b, and r. ? F,(r) = Submit Request Answer Part B Find the equilibrium distance between the two atoms. Express your answer in terms of the variables a and b. ? Tmin = Submit Request Answer Part C Is this equilibrium stable? yes no Submit Request Answer
Part D
Suppose the distance between the two atoms is equal to the equilibrium
distance found in part A. 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.
Express your answer in terms of the variables a and b.
?
E, =
Submit
Request Answer
Part E
For the molecule CO, the equilibrium distance between the carbon and oxygen
atoms is 1.13 × 10¬10 m and the dissociation energy is 1.54 × 10°
molecule. Find the value of the constant a.
-18
J
per
Express your answer in joules times meter in the twelth power.
ΑΣΦ
a =
J.m12
Submit
Request Answer
Part F
Find the value of the constant b.
Express your answer in joules times meter in the sixth power.
?
b =
J. m6
Submit
Request Answer
Transcribed Image Text:Part D Suppose the distance between the two atoms is equal to the equilibrium distance found in part A. 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. Express your answer in terms of the variables a and b. ? E, = Submit Request Answer Part E For the molecule CO, the equilibrium distance between the carbon and oxygen atoms is 1.13 × 10¬10 m and the dissociation energy is 1.54 × 10° molecule. Find the value of the constant a. -18 J per Express your answer in joules times meter in the twelth power. ΑΣΦ a = J.m12 Submit Request Answer Part F Find the value of the constant b. Express your answer in joules times meter in the sixth power. ? b = J. m6 Submit Request Answer
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