Short Response Questions

1. Distinguish between shell and sub-shell?

Ans:

Shells vs. Sub-Shells in Atomic Structure

Shells

  • Definition: Shells are energy levels around an atom’s nucleus.
  • Energy Levels: As the shell number (n) increases, energy increases.
  • Capacity: A shell can hold up to 2n² electrons.
  • Labels: Shells are named K, L, M, N (n = 1, 2, 3, 4,...).
  • Example: The first shell (K) holds 2 electrons, the second (L) holds 8.

Sub-Shells

  • Definition: Sub-shells divide shells and help organize electrons.
  • Types: s, p, d, and f sub-shells.
  • Energy Levels: Within a shell, sub-shells have different energies.
  • Capacity: s = 2, p = 6, d = 10, f = 14 electrons.
  • Example: The second shell has 2 sub-shells (2s = 2e, 2p = 6e, total = 8e).

Second Answer

Understanding Shells and Sub-shells

Atoms have energy levels called shells. Each shell contains smaller sections called sub-shells.

Shells vs. Sub-shells

  • Shells: Large energy levels around the nucleus.
  • Sub-shells: Smaller sections within a shell.

Numbering System

Shells are numbered from 1 (K shell) onward. Sub-shells are labeled as s, p, d, and f.

Capacity

  • Shells: Hold 2, 8, 18, or more electrons.
  • Sub-shells: Hold fewer electrons (2, 6, 10, etc.).

Energy Levels

Shells represent big energy levels, while sub-shells break these into smaller parts.

Electron Order

Electrons fill shells first, then go into sub-shells in a set order.

Examples

  • Shells: K (1st), L (2nd)
  • Sub-shells: s, p, d

2. Why an atom electrically neutral?

Ans:

Why is an Atom Neutral?

An atom stays neutral because it has the same number of protons and electrons. Protons are positive and sit in the nucleus. Electrons are negative and move around the nucleus. Since their charges cancel out, the atom has no overall charge. This balance keeps atoms stable and helps everything around us exist!

3. How many sub-shells are there in N shell?

N Shell and Its Sub-Shells

The N shell has a principal quantum number of n = 4. The number of sub-shells in a shell is equal to n. So, the N shell has 4 sub-shells:

  • 1. 4s (l = 0)
  • 2. 4p (l = 1)
  • 3. 4d (l = 2)
  • 4. 4f (l = 3)

Thus, the N shell contains 4 sub-shells.

4. Give notation for sub-shells of M shell.

M Shell Notation

The M shell is written as n = 3. It has three sub-shells: 3s, 3p, and 3d.

5. List the sub-shells of M shell in order of increasing energy

Ans: 3s < 3p < 3d

6. Can you identify an atom without knowing number of neutrons in it?

Atomic Number & Element Identification

Yes! You can identify an atom without knowing the number of neutrons. Just look at the number of protons!

The atomic number (Z) is the number of protons in an atom. It is unique for every element. For example, carbon (C) always has 6 protons.

Neutrons only affect the isotope of an element, not its identity. So, the atomic number alone tells you which element it is!

7. The electronic configurations listed are incorrect. Explain what mistakes have been made in each and write correct electronic configurations.

x = 1s ^ 2 y = 1s ^ 2 2s ^ 2 2s ^ 1 2p ^ 4 2p ^ 1 3s ^ 2 z = 1s ^ 2 2s ^ 2 , 2p ^ 5 3s ^ 1

Atomic Number & Element Identification

Yes! You can identify an atom without knowing the number of neutrons. Just look at the number of protons!

The atomic number (Z) is the number of protons in an atom. It is unique for every element. For example, carbon (C) always has 6 protons.

Neutrons only affect the isotope of an element, not its identity. So, the atomic number alone tells you which element it is!

8. Which orbital in each of the following pairs is lower in energy.

(a) 2s,2p
(b) 3p, 2p
(c) 3s, 4s

Afbau Principle

The Afbau principle explains how electrons fill energy levels in atoms. The order of energy levels from lowest to highest is:

  • 1s < 2s < 2p < 3s < 3p < 4s < 3d

This means:

  • 2s is lower than 2p
  • 2p is lower than 3p
  • 3s is lower than 4s

8. Draw Bohr's model for the following atoms indicating the location for electron, protons and neutrons.

(a) Potassium (Atomic No 19, Mass No 39)
(b) Silicon (Atomic No.14, Mass No 28)
(c) Argon (Atomic No. 18, Mass No 39)

Bohr's Model Drawing Task

Draw Bohr's model for these atoms. Show electrons, protons, and neutrons.

  • Potassium (Atomic No: 19, Mass No: 39)
  • Silicon (Atomic No: 14, Mass No: 28)
  • Argon (Atomic No: 18, Mass No: 39)

9. Write electronic configuration for the following elements

(a) Si
(b) 12 ^ 26 Mg
(c) 12 ^ 24 Mg
(d) Ar

Atomic Numbers and Configurations

Silicon (Si)

Atomic Number: 14

Electronic Configuration: 1s² 2s² 2p⁶ 3s² 3p²

Magnesium (Mg)

Atomic Number: 12

Electronic Configuration: 1s² 2s² 2p⁶ 3s²

Aluminum (Al)

Atomic Number: 13

Electronic Configuration: 1s² 2s² 2p⁶ 3s² 3p¹

Argon (Ar)

Atomic Number: 18

Electronic Configuration: 1s² 2s² 2p⁶ 3s² 3p⁶

10. State the importance and uses of isotopes in various fields of life.

How Isotopes Help in Different Fields

Medical Uses

  • Doctors use isotopes like carbon-11, oxygen-15, and fluorine-18 in PET scans.
  • Some, like iodine-131 and cobalt-60, help treat cancer.

Farming

  • Isotopes like nitrogen-15 and carbon-13 improve crops.
  • Phosphorus-32 helps study how plants take nutrients.

Environment

  • Carbon-14 and tritium track pollution in water and air.
  • Cesium-137 and strontium-90 show pollution sources.

Archaeology & Geology

  • Carbon-14, uranium-238, and potassium-40 help date old objects.

Energy Production

  • Uranium-235 and plutonium-239 power nuclear plants.
  • Cobalt-60 and cesium-137 also have nuclear uses.

Industry

  • Iridium-192 and cobalt-60 help test materials and sterilize tools.
  • Americium-241 finds material defects.

11. The atomic number of an element is 23 and its mass number is 56.

(a) How many protons and electrons does an atom of this element have?

(b) How many neutrons does this atom have?

Atomic Structure

Given:

  • Atomic Number (Z) = 23
  • Mass Number (A) = 56

Number of Protons and Electrons

The atomic number (Z) tells us the number of protons in an atom. So, this atom has 23 protons. Since neutral atoms have the same number of electrons as protons, it also has 23 electrons.

Number of Neutrons

Neutrons are found using the formula:

Neutrons (N) = Mass Number (A) - Atomic Number (Z)

So, N = 56 - 23 = 33.

12. The atomic symbol of aluminum is written as Al. What information do you get from it?

Aluminum Atomic Symbol

The atomic symbol for aluminum is Al. It gives us important details:

  • Element Symbol (Al): "Al" stands for aluminum.
  • Atomic Number (13): This means aluminum has 13 protons in its nucleus. Since it neutral, it also has 13 electrons.
  • Mass Number (27): This is the sum of protons and neutrons in the nucleus.

From this, we can figure out:

  • Protons: 13
  • Electrons: 13
  • Neutrons: 27 - 13 = 14

Cantab Publishers

1: Describe the composition and charge of alpha particles emitted from certain radioactive nuclei and their impact on the original nucleus.

Alpha Particles

What Are Alpha Particles?

Alpha particles are tiny bits of matter. They are made of two protons and two neutrons. This means they have a positive charge.

How Are They Released?

Some atoms throw out alpha particles. When this happens, the atom loses two protons and two neutrons. This makes the atom lighter and changes what kind of element it is.

What Happens to the Atom?

The atom becomes more stable. It turns into a new element with a lower atomic number. This process is called radioactive decay, and it helps the atom get rid of extra energy.

2: Describe the decay process of C-14 in carbon dating and its role in determining the age of organic materials.

Carbon Dating Explained

Carbon-14 (C-14) is a type of carbon that slowly turns into nitrogen over time. This happens through beta decay and takes about 5,730 years. Living things take in C-14 from the air and food. But when they die, they stop absorbing it, and the C-14 starts to disappear.

Scientists use carbon dating to check how much C-14 is left in old objects. By comparing it to what a living thing would have, they can guess its age. This method helps archaeologists, historians, and geologists date things up to 50,000 years old. It gives us clues about history, cultures, and nature.

3: Explain how the strong nuclear force holds protons and neutrons together in the nucleus of an atom.

The Strong Nuclear Force

The strong nuclear force is what holds the center of an atom together. It keeps protons and neutrons bound inside the nucleus.

This force is stronger than the electromagnetic force, which would normally push protons apart because they have the same charge.

However, the strong force only works at very short distances. It acts between tiny particles called quarks, which make up protons and neutrons.

Without this force, atoms wouldn't exist, and neither would we!

4: Why do isotopes not alter the chemical properties of an atom?

Why Do Isotopes Have the Same Chemical Properties?

Isotopes are atoms of the same element with different numbers of neutrons. Even though their masses are different, their chemical properties remain the same. Here's why:

  • Same Number of Electrons: Isotopes have the same number of electrons and protons, which control how atoms react.
  • Identical Electron Arrangement: Electrons form bonds, and since isotopes have the same electron configuration, their bonding behavior is identical.
  • Valence Electrons Matter: Chemical reactions involve the outermost (valence) electrons. Isotopes of the same element have the same valence electrons, so they react the same way.
  • Neutrons Don't Affect Chemistry: Neutrons are inside the nucleus and only change an atom's mass, not its chemical properties.

In short, isotopes behave the same in chemical reactions because their electron configuration stays the same, and only the nucleus changes.

5: How can the presence of isotopes affect the overall atomic mass of an element?

How Isotopes Affect Atomic Mass

Isotopes change an element’s atomic mass in three ways:

  • Averaging Masses: The atomic mass is a weighted average of its isotopes.
  • More Neutrons, More Mass: Heavier isotopes have more neutrons, increasing the total mass.
  • Abundance Matters: The percentage of each isotope affects the final atomic mass.

Take chlorine (Cl) as an example. It has two main isotopes:

  • Cl-35: 75.78% abundance, mass of 34.97 u.
  • Cl-37: 24.22% abundance, mass of 36.97 u.

The atomic mass of chlorine is 35.45 u, which is the weighted average of these isotopes.

In short, isotopes affect atomic mass through averaging, extra neutrons, and abundance.

6: Calculate the relative atomic mass of element x with isotopes x-35 (70%) and x-37 (30%).

Isotope Calculation

We have two isotopes of an element:

  • Isotope 1: Mass = 35, Abundance = 70%
  • Isotope 2: Mass = 37, Abundance = 30%

Using the formula:

Relative Atomic Mass = ((35 × 70) + (37 × 30)) / 100

= (2450 + 1110) / 100

= 35.6 amu

7: Define relative atomic mass and its calculation, emphasizing its role in representing the average mass of isotopes in an element.

Relative Atomic Mass

Atoms are tiny! Measuring their actual weight is extremely difficult. For example, a hydrogen atom weighs about 1.672 × 10⁻²⁴ g. Such small numbers are hard to use in calculations.

To make things easier, scientists use relative atomic mass. Instead of measuring actual mass, they compare it to carbon-12, which is assigned a mass of12 atomic mass units (amu).

Definition

The relative atomic mass of an element is the average mass of its atoms compared to 1/12th of a carbon-12 atom.

Examples

  • Hydrogen (H) = 1 amu
  • Oxygen (O) = 16 amu
  • Magnesium (Mg) = 24 amu
  • Calcium (Ca) = 40 amu
  • Sodium (Na) = 23 amu

How to Calculate

Elements often have different versions called isotopes. Their relative atomic mass is calculated using the formula:

Relative Atomic Mass = (mass × abundance) + (mass × abundance) / 100

Example: Carbon

Carbon has three isotopes with these natural abundances:

  • Carbon-12: 98.8%
  • Carbon-13: 1.1%
  • Carbon-14: 0.009%

Using the formula:

(98.8 × 12 + 1.1 × 13 + 0.009 × 14) ÷ 100 = 12.00026 amu

8: Compare and contrast the properties of protons, neutrons, and electrons in terms of their charge, mass, and location within the atom.

Comparison of Protons, Neutrons, and Electrons

ParticleCharge DiscoveryChargeRelative ChargeRelative Mass
ElectronDiscovered in cathode ray experiments-1.602 × 10⁻¹⁹ C-11/1836
ProtonDiscovered in experiments1.602 × 10⁻¹⁹ C+11
NeutronDiscovered by James Chadwick0 (neutral)0Slightly more than 1

9: Compare and contrast the concepts of nucleon number and atomic mass in the context of an atom's composition.

Comparison: Nucleon Number vs. Atomic Mass

ConceptNucleon Number (Mass Number)Atomic Mass
DefinitionTotal count of protons and neutrons in a nucleus.Average mass of all isotopes of an element, considering abundance.
FormulaA = Z + N(Isotopic mass × Relative abundance) summed.
UnitsAtomic mass units (amu)Atomic mass units (amu)
ExampleCarbon-12 has 12 nucleons (6 protons + 6 neutrons).Carbon's atomic mass is ~12.01 amu (average of C-12 & C-13).

10: Describe the formation of a negatively charged ion (anion) from an atom.

How a Negative Ion Forms

A negative ion (anion) forms when an atom gains extra electrons. This happens in two ways:

  • Electron gain: The atom grabs free electrons.
  • Electron transfer: Another atom gives it electrons.

Since electrons are negatively charged, the atom becomes a negative ion.

11: Illustrate and explain the pathways that positively and negatively charged particles would follow under influence of a uniform electric field.

Pathways of Charged Particles

Positively Charged Particles (e.g., Protons):

They move along the electric field lines, going from the positive plate to the negative plate.

Negatively Charged Particles (e.g., Electrons):

They move in the opposite direction of the electric field lines, from the negative plate to the positive plate.

Key Points:

  • Like charges push each other away.
  • Opposite charges pull each other closer.
  • Electric field lines start from positive charges and end at negative charges.
  • Charged particles follow these lines: positive ones move with the field, negative ones move against it.
  • In a steady electric field, charged particles travel in straight lines.

12: For each representation of a nucleus a through e, write the atomic symbol and identify which are isotopes.

Atomic Structure

Atoms are made of protons, neutrons, and electrons.

Beryllium (Be)

Protons: 4 | Neutrons: 5

Type: Metal

Boron (B)

Protons: 5 | Neutrons: 6

Type: Metalloid

Carbon (C)

Protons: 6 | Neutrons: 6

Type: Non-metal

13: Identify the element represented by each nucleus A through E in the problem as a metal and nonmetal?

Ans: A is a metal.

E is a non-metal.