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Structure of the Atom - Atomic Number and Mass Number

Grade 9CBSE

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

🔑Concepts

The Atomic Number (ZZ) of an element is defined as the total number of protons present in the nucleus of its atom.

The Mass Number (AA) is defined as the sum of the total number of protons and neutrons present in the nucleus of an atom.

Protons and neutrons are collectively known as nucleons because they are located in the nucleus of the atom.

In a neutral atom, the number of protons is equal to the number of electrons; therefore, Atomic Number (ZZ) also represents the number of electrons in a neutral atom.

An element X\text{X} is represented using the notation ZAX{}_{Z}^{A}\text{X}, where AA is the mass number and ZZ is the atomic number.

The identity of an element is determined by its atomic number, as no two different elements have the same number of protons.

📐Formulae

Z=Number of Protons (p)Z = \text{Number of Protons (p)}

A=Number of Protons (p)+Number of Neutrons (n)A = \text{Number of Protons (p)} + \text{Number of Neutrons (n)}

n=AZn = A - Z

In a neutral atom: Number of Electrons (e)=Z\text{In a neutral atom: } \text{Number of Electrons (e)} = Z

💡Examples

Problem 1:

An atom of an element has 1111 protons and 1212 neutrons. Calculate its atomic number, mass number, and identify the element symbol in ZAX{}_{Z}^{A}\text{X} notation.

Solution:

Atomic Number (ZZ) = number of protons = 1111. Mass Number (AA) = protons + neutrons = 11+12=2311 + 12 = 23. The element with Z=11Z = 11 is Sodium (Na\text{Na}). Symbol: 1123Na{}_{11}^{23}\text{Na}.

Explanation:

The atomic number is directly equal to the proton count, while the mass number is the sum of nucleons (protons and neutrons).

Problem 2:

The mass number of an element is 3535 and it contains 1818 neutrons. Find the number of electrons in the neutral atom and its atomic number.

Solution:

A=35A = 35, n=18n = 18. Since A=Z+nA = Z + n, then Z=An=3518=17Z = A - n = 35 - 18 = 17. For a neutral atom, number of electrons = Z=17Z = 17.

Explanation:

By subtracting the number of neutrons from the mass number, we obtain the atomic number. In a neutral state, the number of electrons matches this atomic number.

Problem 3:

Calculate the number of protons, neutrons, and electrons in 614C{}_{6}^{14}\text{C}.

Solution:

From the notation ZAX{}_{Z}^{A}\text{X}, we have Z=6Z = 6 and A=14A = 14. Protons (pp) = Z=6Z = 6. Electrons (ee) = Z=6Z = 6 (neutral atom). Neutrons (nn) = AZ=146=8A - Z = 14 - 6 = 8.

Explanation:

The subscript 66 represents the number of protons, and the superscript 1414 represents the total number of protons and neutrons.

Atomic Number and Mass Number - Revision Notes & Key Formulas | CBSE Class 9 Science