/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 37 Write equations that show the pr... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Write equations that show the processes that describe the first, second, and third ionization energies of an aluminum atom. Which process would require the least amount of energy?

Short Answer

Expert verified
The first, second, and third ionization energies of an aluminum atom are represented by the following equations: 1. First Ionization Energy: \(Al(g) \rightarrow Al^+(g) + e^-\) 2. Second Ionization Energy: \(Al^+(g) \rightarrow Al^{2+}(g) + e^-\) 3. Third Ionization Energy: \(Al^{2+}(g) \rightarrow Al^{3+}(g) + e^-\) The process that requires the least amount of energy is the first ionization energy, as it is easier to remove an electron from a neutral atom than from an ionized atom with a higher positive charge.

Step by step solution

01

First Ionization Energy

The process of removing the first electron from the aluminum atom. \(Al(g) \rightarrow Al^+(g) + e^-\)
02

Second Ionization Energy

After the first electron has been removed, the process of removing the second electron from the resultant ion: \(Al^+(g) \rightarrow Al^{2+}(g) + e^-\)
03

Third Ionization Energy

After the removal of the first and second electrons, the process of removing the third electron from the resultant ion: \(Al^{2+}(g) \rightarrow Al^{3+}(g) + e^-\)
04

Least Energy Required

The process that would require the least amount of energy is the first ionization energy. This is because it is easier to remove an electron from a neutral atom than from an ionized atom with a higher positive charge. The higher positive charge attracts the remaining electrons more strongly, requiring more energy to remove them.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Aluminum Atom
Aluminum is a widely known element represented by the symbol Al. It is the 13th element on the periodic table and belongs to the group of elements known as "post-transition metals." Aluminum is a soft and lightweight metal, often used for its corrosion resistance and conductivity. In its ground state, an aluminum atom has 13 protons, 13 electrons, and commonly 14 neutrons.
The electrons are distributed in different energy levels or shells around the nucleus. For aluminum, the electron configuration is
  • 1s yen superscript 2
  • 2s yen superscript 2
  • 2p yen superscript 6
  • 3s yen superscript 2
  • 3p yen superscript 1
...showing that the outermost shell has three electrons. These valence electrons are involved in the ionization process where they are removed to form ions.
First Ionization Energy
The first ionization energy refers to the energy required to remove the outermost electron from a neutral atom in its gaseous state, forming a cation. For aluminum, this can be represented as
\( Al(g) \rightarrow Al^+(g) + e^- \)
This process is relatively straightforward because it only involves removing one electron from the neutral aluminum atom. It requires less energy compared to subsequent ionizations because there is no positive charge that increases the attraction for the remaining electrons. Factors affecting the first ionization energy include:
  • Atomic size: Larger atoms have lower ionization energies.
  • Nuclear charge: Higher nuclear charges increase ionization energy.
  • Shielding: More inner electron shells reduce the effective nuclear charge and thus, ionization energy.
Second Ionization Energy
After the first electron is removed, you are left with an ion (\( Al^+ \)) which already has a positive charge. The second ionization energy involves removing another electron from this ion:
\( Al^+(g) \rightarrow Al^{2+}(g) + e^- \)
This step requires more energy than the first ionization. The remaining electrons are more strongly attracted to the nucleus due to the positive charge of the ion, which comes from the loss of one electron. Therefore, more energy is required to overcome this attraction and remove an additional electron.
As the nuclear charge effectively increases, each successive electron becomes harder to remove.
Third Ionization Energy
Following the removal of the second electron, we have \( Al^{2+} \) as the ion. The third ionization energy is the energy required to remove yet another electron from this doubly charged ion:\( Al^{2+}(g) \rightarrow Al^{3+}(g) + e^- \)This step sees the highest increase in ionization energy. Due to the even higher positive charge (\( Al^{2+} \) ), the attraction force on the remaining electrons is significantly stronger. More energy must be applied to remove this electron compared to the first and second ionizations.
In summary, as you increase the positive charge of an ion by removing more electrons, the harder it becomes to remove further electrons due to increased electrostatic attraction towards the nucleus.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Detailed calculations show that the value of \(Z_{\text { eff }}\) for the outermost electrons in Na and \(K\) atoms is \(2.51+\) and \(3.49+\) respectively. (a) What value do you estimate for \(Z_{\text { eff }}\) experienced by the outermost electron in both Na and K by assuming core electrons contribute 1.00 and valence electrons contribute 0.00 to the screening constant? (b) What values do you estimate for \(Z_{\text { eff }}\) using Slater's rules? (c) Which approach gives a more accurate estimate of \(Z_{\text { eff? }}\) (d) Does either method of approximation account for the gradual increase in \(Z_{\text { eff }}\) that occurs upon moving down a group? (e) Predict \(Z_{\text { eff }}\) for the outermost electrons in the Rb atom based on the calculations for Na and K.

(a) Why does xenon react with fluorine, whereas neon does not? (b) Using appropriate reference sources, look up the bond lengths of \(\mathrm{Xe}-\mathrm{F}\) bonds in several molecules. How do these numbers compare to the bond lengths calculated from the atomic radii of the elements?

Which of the following statements about effective nuclear charge for the outermost valence electron of an atom is incorrect? (i) The effective nuclear charge can be thought of as the true nuclear charge minus a screening constant due to the other electrons in the atom. (ii) Effective nuclear charge increases going left to right across a row of the periodic table. (iii) Valence electrons screen the nuclear charge more effectively than do core electrons. (iv) The effective nuclear charge shows a sudden decrease when we go from the end of one row to the beginning of the next row of the periodic table. (v) The change in effective nuclear charge going down a column of the periodic table is generally less than that going across a row of the periodic table.

(a) Why is calcium generally more reactive than magnesium? (b) Why is calcium generally less reactive than potassium?

Little is known about the properties of astatine, At, because of its rarity and high radioactivity. Nevertheless, it is possible for us to make many predictions about its properties. (a) Do you expect the element to be a gas, liquid, or solid at room temperature? Explain. (b) Would you expect At to be a metal, nonmetal, or metalloid? Explain. (c) What is the chemical formula of the compound it forms with Na?

See all solutions

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.