There are 15 protons and 22 neutrons in the nucleus of an element. What is its mass number?
37
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.
The relationship between mass number, protons, and neutrons is given by the simple formula:
$A = Z + N$
Where:
We are given the following information:
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.
| 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 |
The calculation shows that an element with 15 protons and 22 neutrons has a mass number of 37.
| 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) |
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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