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Question

There are 15 protons and 22 neutrons in the nucleus of an element. What is its mass number?

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is

37

Finding the Mass Number of an Element

The question asks us to find the mass number of an element given the number of protons and neutrons in its nucleus. Let's break down the concepts involved.

Understanding Protons, Neutrons, and Mass Number

  • Protons: These are positively charged particles found in the nucleus of an atom. The number of protons uniquely identifies an element and is also called the atomic number ($Z$).
  • Neutrons: These are neutral particles also found in the nucleus. They contribute to the mass of the atom but do not have an electric charge.
  • Mass Number: The mass number ($A$) is the total number of protons and neutrons in the nucleus of an atom. It represents the approximate total mass of the atom in atomic mass units (amu), as protons and neutrons each have a mass close to 1 amu.

Calculating Mass Number

The relationship between mass number, protons, and neutrons is given by the simple formula:

$A = Z + N$

Where:

  • $A$ is the Mass Number
  • $Z$ is the number of Protons (Atomic Number)
  • $N$ is the number of Neutrons

Applying the Formula to Find the Mass Number

We are given the following information:

  • Number of protons = 15
  • Number of neutrons = 22

Using the formula for mass number:

Mass Number ($A$) = Number of Protons ($Z$) + Number of Neutrons ($N$)

$A = 15 + 22$

$A = 37$

So, the mass number of the element is 37.

Summary of Atomic Structure Components
Particle Location Charge Contributes to
Proton Nucleus Positive (+1) Atomic Number, Mass Number
Neutron Nucleus Neutral (0) Mass Number
Electron Outside Nucleus (Orbitals) Negative (-1) Chemical Properties

Confirming the Result

The calculation shows that an element with 15 protons and 22 neutrons has a mass number of 37.

Revision Table: Atomic Structure Basics

Key Terms in Atomic Structure
Term Definition How to Find
Atomic Number ($Z$) Number of protons in the nucleus. Defines the element. Given directly, or found on the Periodic Table for a specific element.
Mass Number ($A$) Total number of protons and neutrons in the nucleus. $A = Z + N$ (Number of Protons + Number of Neutrons)
Number of Neutrons ($N$) The count of neutral particles in the nucleus. $N = A - Z$ (Mass Number - Atomic Number)

Additional Information: Isotopes and Mass Number

Atoms of the same element always have the same number of protons (the same atomic number). However, they can have different numbers of neutrons. Atoms of the same element with different numbers of neutrons are called isotopes.

Since the mass number is the sum of protons and neutrons, isotopes of an element have different mass numbers. For example, Carbon-12 and Carbon-14 are isotopes of carbon. Both have 6 protons, but Carbon-12 has 6 neutrons (mass number 12) while Carbon-14 has 8 neutrons (mass number 14).

The mass number is always a whole number because it is a count of particles. The atomic mass (often listed on the periodic table) is usually a decimal because it is the weighted average of the masses of all the naturally occurring isotopes of that element.

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