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Structure of the Atom - Calculate protons, neutrons, and electrons from atomic and mass numbers

Grade 9CBSE

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

🔑Concepts

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

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

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

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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.

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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.

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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=A−Zn = 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=A−n=35−18=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) = A−Z=14−6=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.