/*! 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 12 An atom of silicon in its ground... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

An atom of silicon in its ground state is subjected to a frequency of light that is high enough to cause electron ejection. An electron from which subshell of silicon would have the highest kinetic energy after ejection? (A) 1 \(\mathrm{s}\) (B) 2\(p\) (C) 3\(p\) (D) 4\(s\)

Short Answer

Expert verified
(D) 4s

Step by step solution

01

Understand electron ejection due to light absorption

When light with high enough frequency is absorbed by an electron, the acquired energy is used by the electron to escape its bonding with the nucleus. This phenomenon is known as the photoelectric effect. If the light's frequency is high enough to overcome the binding energy of the electron, the surplus energy manifests as the electron's kinetic energy.
02

Identify Silicon's electron configuration

Silicon is the 14th element in the periodic table, and its electron configuration in the ground state is \(1s^2 2s^2 2p^6 3s^2 3p^2\). This means that the electrons fill up the 1s, 2s, 2p, 3s, and 3p subshells before populating the 4s subshell.
03

Understand electron ejection from different subshells

An electron from a lower energy level (closer to the nucleus of the atom) requires more energy to be ejected than an electron from a higher energy level. This is because lower energy levels have a stronger attraction to the positively charged nucleus. Hence, an electron from a lower energy level will have lesser surplus energy (kinetic energy) after ejection when exposed to a light of particular frequency.
04

Identify which electron will have the highest kinetic energy upon ejection

Given that the electron from a higher energy level will inherit more kinetic energy after being ejected, the correct choice is (D) the 4s subshell. It’s the highest energy level in the ground state of a silicon atom. Hence, an electron from this subshell would acquire the highest kinetic energy upon ejection.

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.

Electron Configuration
Every atom has a specific arrangement of its electrons around the nucleus, known as its electron configuration. This arrangement is key to determining how an atom will interact with light and other particles.
Understanding the electron configuration helps us predict how atoms are likely to behave when subjected to external forces, like light. For silicon, with the atomic number 14, its electron configuration is structured as follows:
  • The 1s subshell is filled with 2 electrons.
  • The 2s and 2p subshells are filled with 2 and 6 electrons respectively.
  • The 3s and 3p subshells accommodate 2 and 2 electrons respectively.
This configuration reveals that silicon’s electrons fill the lower energy levels and then the 3rd energy level in a stepwise manner.
Kinetic Energy
Kinetic energy is the form of energy that an object possesses due to its motion. When an electron is ejected from an atom, it gains kinetic energy, which is the energy of movement.
This kinetic energy originates from the energy absorbed by the electron when exposed to light. When the electron absorbs more energy than required to overcome the attractive force of the nucleus, the excess energy converts into kinetic energy:
  • The more surplus energy an ejected electron has, the faster it will move.
  • Electrons from outer shell levels often result in higher kinetic energy post-ejection.
Therefore, the energy required for an electron to escape the atom directly influences its speed once freed.
Electron Ejection
In the context of the photoelectric effect, electron ejection describes the process of an electron being expelled from an atom after absorbing enough energy from light.
The photoelectric effect relies on the principle that there is a minimum energy threshold, specific to each electron, that must be overcome before this ejection can occur:
  • Once the minimum energy requirement is surpassed, the electron is freed from the atomic hold.
  • Electrons in outer shells require less energy to be ejected compared to those in inner shells.
Since electrons in higher energy levels are loosely bound to the nucleus, they have more freedom to move away when they absorb energy.
Silicon Atom
A silicon atom is a fundamental element that plays a significant role in semiconductor technology due to its unique properties. With an atomic number of 14, silicon is located in the third period and group 14 of the periodic table.
Understanding a silicon atom starts with its electron configuration, which influences how it interacts with light and other elements.
Silicon naturally strives towards stability, often seen in its tendency to form four covalent bonds in chemical reactions. This behavior makes it versatile in forming compounds and essential for building electronic devices.
In the context of the photoelectric effect, recognizing that electrons from the silicon atom's higher energy level, like the 4s subshell, will have the highest kinetic energy can help explain some of its interactions and usefulness in various applications.

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

Nitrogen gas was collected over water at \(25^{\circ} \mathrm{C}\) . If the vapor pressure of water at \(25^{\circ} \mathrm{C}\) is 23 \(\mathrm{mmH}\) g, and the total pressure in the container is measured at 781 \(\mathrm{mmH} \mathrm{g}\) , what is the partial pressure of the nitrogen gas? \(\begin{array}{ll}{\text { (A) }} & {46 \mathrm{mmH} \mathrm{g}} \\ {\text { (B) }} & {551 \mathrm{mmH} \mathrm{g}} \\ {\text { (C) }} & {735 \mathrm{mmH} \mathrm{g}} \\ {\text { (D) }} & {758 \mathrm{mmH} \mathrm{g}}\end{array}\)

Questions 54-56 refer to the following. GRAPH CAN'T COPY Between propane and ethene, which will likely have the higher boiling point and why? (A) Propane, because it has a greater molar mass (B) Propane, because it has a more polarizable electron cloud (C) Ethene, because of the double bond (D) Ethene, because it is smaller in size

Which of the substances would be soluble in water? (A) Ethylene glycol only, because it has the longest bond lengths (B) Acetone only, because it is the most symmetrical (C) Ethanol and ethylene glycol only, because of their hydroxyl (-OH) (D) All three substances would be soluble in water due to their permanent dipoles.

When calcium chloride \(\left(\mathrm{CaCl}_{2}\right)\) dissolves in water, the temperature of the water increases dramatically. Which of the following must be true regarding the enthalpy of solution? (A) The lattice energy in \(\mathrm{CaCl}_{2}\) exceeds the bond energy within the water molecules. (B) The hydration energy between the water molecules and the solute ions exceeds the lattice energy within \(\mathrm{CaCl}_{2}\) . (C) The strength of the intermolecular forces between the solute ions and the dipoles on the water molecules must exceed the hydration energy. (D) The hydration energy must exceed the strength of the intermolecular forces between the water molecules.

A bottle of water is left outside early in the morning. The bottle warms gradually over the course of the day. What will happen to the pH of the water as the bottle warms? (A) Nothing; pure water always has a pH of 7.00. (B) Nothing; the volume would have to change in order for any ion concentration to change. (C) It will increase because the concentration of \(\left[\mathrm{H}^{+}\right]\) is increasing. (D) It will decrease because the auto-ionization of water is an endothermic process.

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.