(a)
The energy needed to transfer an electron from
(a)
Answer to Problem 4P
The energy needed to transfer an electron from
Explanation of Solution
The energy needed to transfer an electron from
The ionization of energy of
Write the expression that describes the ionization of K.
Here,
Write the expression that describes the ionization of I.
Here,
Add equation (I) and (II) to get activation energy.
Rearrange above equation to get activation energy.
The above relation indicates the
Conclusion:
Therefore, the energy needed to transfer an electron from
(b)
The values of
(b)
Answer to Problem 4P
The values of
Explanation of Solution
Write the expression of Lennard-Jones potential.
Here,
Differentiate above equation.
Write the value of derivative of potential at equilibrium distance.
Here,
Use equation (III) in equation (II) to get value of
Rearrange above equation to get
It is given that
Substitute
Conclusion:
Substitute
Substitute
Therefore, the values of
(c)
The force needed to break up KI molecule.
(c)
Answer to Problem 4P
The force needed to break up KI molecule is
Explanation of Solution
Write the expression for the force of attraction between the atoms.
Use equation (II) in equation (VI) to get
Write the expression for the maximum force.
Here,
Put equation (VII) in equation (VIII).
Use equation (VIII) in equation (IX) to get
Conclusion:
Substitute
Therefore, the force needed to break up KI molecule is
(d)
The force constant for small oscillations about
(d)
Answer to Problem 4P
The force constant for small oscillations about
Explanation of Solution
Rewrite expression of Lennard-Jones potential.
Substitute
Substitute
Expand above equation using binomial expansion.
Simplify above equation up to second order terms of
Use equation (V) in above equation.
The above equation is similar to equation of potential of small oscillations.
Write the general potential equation.
Compare above equation with (X) to get
Conclusion:
Substitute
Therefore, the force constant for small oscillations about
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Chapter 43 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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