krit.club logo

Structure of the Atom - A Short Historical Journey Through Atomic Models

Grade 9CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

•

Charged Particles in Matter: Atoms consist of three subatomic particles: protons (p+p^+), electrons (e−e^-), and neutrons (n0n^0).

•

Thomson’s Model of an Atom: Often called the 'Plum Pudding' or 'Watermelon' model. He proposed that an atom consists of a positively charged sphere and the electrons are embedded in it. The total positive charge equals the total negative charge, making the atom electrically neutral.

•

Rutherford’s Gold Foil Experiment: Rutherford discovered the nucleus. He concluded that most of the space inside the atom is empty, there is a small, dense, positively charged center called the nucleus, and nearly all the mass of the atom resides in the nucleus.

•

Bohr’s Model of the Atom: To overcome the limitations of Rutherford's model, Bohr proposed that electrons revolve in discrete orbits called 'energy levels' or 'shells' (K,L,M,N...K, L, M, N...). Electrons do not radiate energy while revolving in these discrete orbits.

•

Distribution of Electrons: The Bohr-Bury scheme states that the maximum number of electrons in a shell is given by 2n22n^2, where nn is the orbit number. The outermost shell can hold a maximum of 88 electrons.

•

Valency: The combining capacity of an atom. It is determined by the number of valence electrons (electrons in the outermost shell).

•

Atomic Number (ZZ): The total number of protons present in the nucleus of an atom. For a neutral atom, number of protons = number of electrons.

•

Mass Number (AA): The sum of the total number of protons and neutrons present in the nucleus of an atom. Protons and neutrons are collectively called nucleons.

•

Isotopes: Atoms of the same element having the same atomic number (ZZ) but different mass numbers (AA). Examples include Protium (11H^1_1H), Deuterium (12H^2_1H), and Tritium (13H^3_1H).

•

Isobars: Atoms of different elements with different atomic numbers, which have the same mass number (AA). Example: Calcium (2040Ca^{40}_{20}Ca) and Argon (1840Ar^{40}_{18}Ar).

📐Formulae

Maximum electrons in a shell=2n2Maximum\ electrons\ in\ a\ shell = 2n^2

Mass Number (A)=Number of Protons (Z)+Number of Neutrons (n)Mass\ Number\ (A) = Number\ of\ Protons\ (Z) + Number\ of\ Neutrons\ (n)

Number of Neutrons (n)=A−ZNumber\ of\ Neutrons\ (n) = A - Z

Average Atomic Mass=(Mass1×%1)+(Mass2×%2)100Average\ Atomic\ Mass = \frac{(Mass_1 \times \%_1) + (Mass_2 \times \%_2)}{100}

💡Examples

Problem 1:

An atom of an element has an atomic number (ZZ) of 1313 and a mass number (AA) of 2727. Calculate the number of neutrons in the atom.

Solution:

Using the formula n=A−Zn = A - Z: 27−1314\begin{array}{r} 27 \\ - 13 \\ \hline 14 \end{array} There are 1414 neutrons.

Explanation:

The number of neutrons is found by subtracting the atomic number (protons) from the mass number (protons + neutrons).

Problem 2:

Calculate the average atomic mass of Chlorine if it exists as two isotopes: 1735Cl^{35}_{17}Cl (75%75\%) and 1737Cl^{37}_{17}Cl (25%25\%).

Solution:

Average atomic mass=(35×75100)+(37×25100)Average\ atomic\ mass = \left( 35 \times \frac{75}{100} \right) + \left( 37 \times \frac{25}{100} \right) Average atomic mass=2625+925100Average\ atomic\ mass = \frac{2625 + 925}{100} Average atomic mass=3550100=35.5 uAverage\ atomic\ mass = \frac{3550}{100} = 35.5\ u

Explanation:

The average atomic mass is the weighted average of the masses of its naturally occurring isotopes based on their percentage abundance.

Problem 3:

Write the electronic configuration and find the valency of Magnesium (Z=12Z = 12).

Solution:

For Z=12Z = 12, the electrons are distributed as follows:

  • K shell (n=1n=1): 2(1)2=22(1)^2 = 2
  • L shell (n=2n=2): 2(2)2=82(2)^2 = 8
  • M shell (n=3n=3): Remaining electrons = 12−(2+8)=212 - (2+8) = 2 Electronic configuration: 2,8,22, 8, 2. Valency: Since there are 22 valence electrons, it will lose 22 to achieve octet. Valency = 22.

Explanation:

Valency is the number of electrons lost, gained, or shared to complete the outermost shell (octet).