Without looking at data in the text, sketch a qualitative graph of the third ionization energy versus atomic number for the elements Na through Ar, and explain your graph.

Short Answer

Expert verified
The qualitative graph of third ionization energy versus atomic number for elements Na through Ar shows an overall increasing trend as we move across the period, due to increasing effective nuclear charge. There are slight decreases at Mg, Al, and Si due to lower electron shielding or orbital configuration changes. A sharp increase can be observed between P and S, caused by S's full p-orbital which requires more energy for electron removal. The high magnitude of the third ionization energies compared to first and second ionization energies is because of the increased energy need for removing electrons closer to the nucleus.

Step by step solution

01

Determine the Relationship between Ionization Energy and Atomic Number

When it comes to ionization energy, there is a general trend where it increases across a period (from left to right) and decreases down a group (from top to bottom) in the periodic table. This occurs because as we move across a period, the effective nuclear charge increases, making it more difficult for electrons to be removed. On the other hand, as we go down a group, the atomic size increases and there is more electron shielding, making electrons easier to be removed. Since we are dealing with elements Na through Ar, which belong to the third period, we need to focus on the trend within this period.
02

Consider the Third Ionization Energy

The third ionization energy refers to the energy required to remove the third electron from an atom. As we move across the third period, the first ionization energy will initially have a significant increase due to the increasing nuclear charge. However, since we are focusing on the third ionization energy, some unique characteristics must be taken into consideration when sketching a graph. First, we need to understand that the second and third ionization energies are significantly higher than the first ionization energy. Thus, there will be a sharp increase in ionization energy between the third and second ionization energies for each element. This is because, after removing the first electron, an electron needs to be removed from a shell closer to the nucleus, which requires more energy.
03

Sketch the Graph

Using the information above, we can now sketch the graph. The graph should show the increasing trend of the third ionization energy as we move across the period from Na to Ar. There will be some fluctuations due to the electron configuration of each element, but the general pattern remains. Some specific points to consider include: 1. A slight decrease can be observed at Mg and Al due to their lower electron shielding. 2. A noticeable decrease can be observed at Si due to its half-filled p-orbital. 3. A sharp increase between P and S due to the electron configuration of sulfur.
04

Provide an Explanation

The graph can be explained as follows: 1. The overall increasing trend is due to the general ionization energy trend across periods, where the effective nuclear charge increases, making it harder for electrons to be removed. 2. Decreases observed at Mg, Al, and Si can be attributed to changes in electron shielding or orbital configuration. 3. A sharp increase between P and S is due to sulfur's full p-orbital, requiring more energy to remove an electron. 4. The magnitude of the third ionization energy is much higher compared to the first and second ionization energies due to the increased energy required for removing electrons closer to the nucleus. By following these steps, a qualitative graph of the third ionization energy versus atomic number for the elements Na through Ar can be sketched with an explanation that accounts for the general trend and specific fluctuations for each element.

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 Vaia!

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

Which of the following sets of quantum numbers are not allowed in the hydrogen atom? For the sets of quantum numbers that are incorrect, state what is wrong in each set. a. \(n=3, \ell=2, m_{\ell}=2\) b. \(n=4, \ell=3, m_{\ell}=4\) c. \(n=0, \ell=0, m_{\ell}=0\) d. \(n=2, \ell=-1, m_{\ell}=1\)

Answer the following questions assuming that \(m_{s}\) could have three values rather than two and that the rules for \(n, \ell,\) and \(m_{\ell}\) are the normal ones. a. How many electrons would an orbital be able to hold? b. How many elements would the first and second periods in the periodic table contain? c. How many elements would be contained in the first transition metal series? d. How many electrons would the set of 4\(f\) orbitals be able to hold?

A certain microwave oven delivers 750 . watts \((\mathrm{J} / \mathrm{s})\) of power to a coffee cup containing 50.0 \(\mathrm{g}\) water at $25.0^{\circ} \mathrm{C}\( . If the wave- length of microwaves in the oven is \)9.75 \mathrm{cm},$ how long does it take, and how many photons must be absorbed, to make the water boil? The specific heat capacity of water is 4.18 $\mathrm{J} /^{\prime} \mathrm{C} \cdot \mathrm{g}$ and assume only the water absorbs the energy of the microwaves

Three elements have the electron configurations 1\(s^{2} 2^{2} 2 p^{6} 3 s^{2}\) 1\(s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{4}\) , and 1$s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} .$ The first ionization energies of these elements (not in the same order) are 0.590 , 0.999, and 0.738 MJ/mol. The atomic radii are 104, 160, and 197 pm. Identify the three elements, and match the appropriate values of ionization energy and atomic radius to each configuration. Complete the following table with the correct information.

Which of the following statements is (are) true? a. The 2\(s\) orbital in the hydrogen atom is larger than the 3s orbital also in the hydrogen atom. b. The Bohr model of the hydrogen atom has been found to be incorrect. c. The hydrogen atom has quantized energy levels. d. An orbital is the same as a Bohr orbit. e. The third energy level has three sublevels, the s,p, and d sublevels.

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.

Sign-up for free