Choose the best response for the following: The ionization energy for the chlorine atom is equal in magnitude to the electron affinity for a. the Cl atom. b. the Cl \(^{-}\) ion. c. the Cl \(^{+}\) ion. d. the F atom. e. none of these. Explain each choice. Justify your choice, and for the choices you did not select, explain what is incorrect about them.

Short Answer

Expert verified
The correct answer is b: the ionization energy for the chlorine atom is equal in magnitude to the electron affinity for the Cl\(^{-}\) ion. This is because when an electron is added to the Cl atom, it forms a Cl\(^{-}\) ion and releases energy, which is equivalent to the energy required to remove the same electron from the Cl\(^{-}\) ion to form the neutral Cl atom.

Step by step solution

01

Analyze Option a

Option a suggests that the ionization energy of the chlorine atom is equal to the electron affinity of the Cl atom. However, this is not the case. Ionization energy is the energy required to remove an electron while electron affinity is the energy change when an electron is added. These two processes are not equal in the case of the same atom.
02

Analyze Option b

Option b suggests that the ionization energy of the chlorine atom is equal to the electron affinity of the Cl\(^{-}\) ion. This option is correct. When electron is added to the Cl atom, it forms a Cl\(^{-}\) ion and releases energy, which is equivalent to the energy required to remove the same electron from the Cl\(^{-}\) ion to form the neutral Cl atom. The ionization energy for chlorine is thus equal in magnitude to the electron affinity for the Cl\(^{-}\) ion.
03

Analyze Option c

Option c suggests that the ionization energy of the chlorine atom is equal to the electron affinity of the Cl\(^{+}\) ion. This is incorrect because ionization energy is related to the removal of an electron and electron affinity is related to the addition of an electron. The electron affinity of the Cl\(^{+}\) ion, however, is related to the energy change when an electron is added to the Cl\(^{+}\) ion, not when it is removed.
04

Analyze Option d

Option d suggests that the ionization energy of the chlorine atom is equal to the electron affinity of the F atom. This is incorrect because ionization energy and electron affinity are properties that depend on the specific element and its electronic configuration. The ionization energy of chlorine and the electron affinity of fluorine are not related in terms of magnitude.
05

Analyze Option e

Option e suggests that none of the given choices are correct. Since we have already determined that option b is the correct choice, option e is incorrect.
06

Conclusion

The correct answer is b: the ionization energy for the chlorine atom is equal in magnitude to the electron affinity for the Cl\(^{-}\) ion.

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