Textbook Question
What is the age in years of a bone in which the ¹⁴C/¹²C ratio is measured to be 1.65 x 10⁻¹³?
24
views
0. Math Review
Math Review
Problem 27a
Textbook Question
The allowed energies of a simple atom are 0.00 eV, 4.00 eV, and 6.00 eV. Draw the atom’s energy-level diagram. Label each level with the energy and the quantum number.
Verified step by step guidance1
Step 1: Understand the concept of energy levels in an atom. Energy levels represent the discrete energies that electrons in an atom can occupy. Each energy level is associated with a quantum number, typically denoted as n.
Step 2: Identify the given energy levels from the problem. The allowed energies are 0.00 eV, 4.00 eV, and 6.00 eV. These correspond to different quantum states of the atom.
Step 3: Assign quantum numbers to each energy level. Typically, the lowest energy level (ground state) is assigned n = 1, the next higher energy level is n = 2, and so on. For this atom: 0.00 eV corresponds to n = 1, 4.00 eV corresponds to n = 2, and 6.00 eV corresponds to n = 3.
Step 4: Draw the energy-level diagram. Represent the energy levels as horizontal lines on a vertical axis, where the vertical axis represents energy (in eV). Label each line with its corresponding energy value and quantum number. For example: the line at 0.00 eV is labeled 'n = 1, 0.00 eV', the line at 4.00 eV is labeled 'n = 2, 4.00 eV', and the line at 6.00 eV is labeled 'n = 3, 6.00 eV'.
Step 5: Ensure the diagram is clear and properly scaled. The spacing between the energy levels should reflect the difference in energy values (e.g., the gap between 0.00 eV and 4.00 eV should be smaller than the gap between 4.00 eV and 6.00 eV). This helps visually represent the relative energy differences.
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Energy Levels
Energy levels in an atom represent the specific energies that electrons can have. These levels are quantized, meaning electrons can only occupy certain discrete energy states, which are often denoted by quantum numbers. In this case, the allowed energies of 0.00 eV, 4.00 eV, and 6.00 eV indicate the possible states an electron can occupy in the atom.
Recommended video:
Guided course
04:10
Intro to Energy & Types of Energy
Quantum Numbers
Quantum numbers are numerical values that describe the unique quantum state of an electron in an atom. The principal quantum number (n) indicates the energy level, while other quantum numbers (like angular momentum and magnetic quantum numbers) provide additional information about the electron's position and behavior. For the given energy levels, each energy can be associated with a specific quantum number.
Recommended video:
Guided course
07:19Moles & Avogadro's Number
Energy-Level Diagram
An energy-level diagram visually represents the allowed energy levels of an atom, typically arranged vertically with increasing energy. Each level is labeled with its corresponding energy value and quantum number. This diagram helps illustrate the concept of quantization in atomic physics, showing how electrons can transition between these levels by absorbing or emitting energy.
Recommended video:
Guided course
08:07Work and PV Diagrams
1:30mWatch next
Master Introduction to Physics Channel with a bite sized video explanation from Patrick
Start learningRelated Videos
Related Practice