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Chapter 2: Problem 10

To what group in the periodic table would an element with atomic number 112 belong?

Short Answer

Expert verified
Answer: The element with atomic number 112 belongs to group 4 of the periodic table.

Step by step solution

01

Determine the electronic configuration of the element with atomic number 112

To do this, we will use the Aufbau principle, which states that electrons fill orbitals in order of increasing energy. The atomic number 112 means the element has 112 electrons. Start filling the orbitals using the order: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p.
02

Write the full electron configuration

Following the Aufbau principle and filling orbitals with the 112 electrons, we find the electron configuration: 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^10 4p^6 5s^2 4d^10 5p^6 6s^2 4f^14 5d^10 6p^6 7s^2 5f^14 6d^10 7p^2.
03

Observe the electron configuration of the outermost energy level

The element's outer electron configuration is found in the highest energy level, which is the 7th energy level in this case. The configuration of the 7th energy level is 7s^2 7p^2.
04

Determine the group number of the element

To find the group number of the element, we need to look at the outer electron configuration. In the configuration 7s^2 7p^2, the s orbital is filled with 2 electrons, and the p orbital has 2 electrons. To determine the group number, add the number of outer electrons: 2 (from the s orbital) + 2 (from the p orbital) = 4. Thus, the element with atomic number 112 belongs to group 4 of the periodic table.

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Most popular questions from this chapter

Relative to electrons and electron states what does each of the four quantum numbers specify?

The net potential energy \(E_{N}\) between two adjacent ions is sometimes represented by the expression $$E_{N}=-\frac{C}{r}+D \exp \left(-\frac{r}{\rho}\right)$$ in which \(r\) is the interionic separation and \(C\) \(D,\) and \(\rho\) are constants whose values depend on the specific material. (a) Derive an expression for the bonding energy \(E_{0}\) in terms of the equilibrium interionic separation \(r_{0}\) and the constants \(D\) and \(\rho\) using the following procedure: 1\. Differentiate \(E_{N}\) with respect to \(r\) and set the resulting expression equal to zero 2\. Solve for \(C\) in terms of \(D, \rho,\) and \(r_{0}\) 3\. Determine the expression for \(E_{0}\) by substitution for \(C\) in Equation 2.12 (b) Derive another expression for \(E_{0}\) in terms of \(r_{0}, C,\) and \(\rho\) using a procedure analogous to the one outlined in part (a).

(a) How many grams are there in one amu of a material? (b) Mole, in the context of this book, is taken in units of gram-mole. On this basis, how many atoms are there in a pound-mole of a substance?

(a) What electron subshell is being filled for the rare earth series of elements on the periodic table? (b) What electron subshell is being filled for the actinide series?

What type(s) of bonding would be expected for each of the following materials: solid xenon, calcium fluoride \(\left(\mathrm{CaF}_{2}\right),\) bronze, cadmium tel luride (CdTe), rubber, and tungsten?
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