How do you find the mass number

How do you find the mass number

How do you find the mass number

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You may be asked to calculate atomic mass in chemistry or physics. There is more than one way to find atomic mass. Which method you use depends on the information you're given. First, it's a good idea to understand what exactly, atomic mass means.

What Is Atomic Mass?

Atomic mass is the sum of the masses of the protons, neutrons, and electrons in an atom, or the average mass, in a group of atoms. However, electrons have so much less mass than protons and neutrons that they don't factor into the calculation. So, the atomic mass is the sum of the masses of protons and neutrons. There are three ways to find atomic mass, depending on your situation. Which one to use depends on whether you have a single atom, a natural sample of the element, or simply need to know the standard value.

3 Ways to Find Atomic Mass

The method used to find atomic mass depends on whether you're looking at a single atom, a natural sample, or a sample containing a known ratio of isotopes:

1) Look Up Atomic Mass on the Periodic Table

If it's your first encounter with chemistry, your instructor will want you to learn how to use the periodic table to find the atomic mass (atomic weight) of an element. This number usually is given below an element's symbol. Look for the decimal number, which is a weighted average of the atomic masses of all the natural isotopes of an element.

Example: If you are asked to give the atomic mass of carbon, you first need to know its element symbol, C. Look for C on the periodic table. One number is carbon's element number or atomic number. Atomic number increase as you go across the table. This is not the value you want. The atomic mass or atomic weight is the decimal number, The number of significant figures varies according to the table, but the value is around 12.01.

This value on a periodic table is given in atomic mass units or amu, but for chemistry calculations, you usually write atomic mass in terms of grams per mole or g/mol. The atomic mass of carbon would be 12.01 grams per mole of carbon atoms.

2) Sum of Protons and Neutrons for a Single Atom

To calculate the atomic mass of a single atom of an element, add up the mass of protons and neutrons.

Example: Find the atomic mass of an isotope of carbon that has 7 neutrons. You can see from the periodic table that carbon has an atomic number of 6, which is its number of protons. The atomic mass of the atom is the mass of the protons plus the mass of the neutrons, 6 + 7, or 13.

3) Weighted Average for All Atoms of an Element

The atomic mass of an element is a weighted average of all the element's isotopes based on their natural abundance. It is simple to calculate the atomic mass of an element with these steps.

Typically, in these problems, you are provided with a list of isotopes with their mass and their natural abundance either as a decimal or percent value.

  1. Multiply each isotope's mass by its abundance. If your abundance is a percent, divide your answer by 100.
  2. Add these values together.

The answer is the total atomic mass or atomic weight of the element.

Example: You are given a sample containing 98% carbon-12 and 2% carbon-13. What is the relative atomic mass of the element?

First, convert the percentages to decimal values by dividing each percentage by 100. The sample becomes 0.98 carbon-12 and 0.02 carbon-13. (Tip: You can check your math by making certain the decimals add up to 1. 0.98 + 0.02 = 1.00).

Next, multiply the atomic mass of each isotope by the proportion of the element in the sample:

0.98 x 12 = 11.76
0.02 x 13 = 0.26

For the final answer, add these together:

11.76 + 0.26 = 12.02 g/mol

Advanced Note: This atomic mass is slightly higher than the value given in the periodic table for the element carbon. What does this tell you? The sample you were given to analyze contained more carbon-13 than average. You know this because your relative atomic mass is higher than the periodic table value, even though the periodic table number includes heavier isotopes, such as carbon-14. Also, note the numbers given on the periodic table apply to the Earth's crust/atmosphere and may have little bearing on the expected isotope ratio in the mantle or core or on other worlds.

Over time, you may notice the atomic mass values listed for each element on the periodic table may change slightly. This happens when scientists revise the estimated isotope ratio in the crust. In modern periodic tables, sometimes a range of values is cited rather than a single atomic mass.

Find More Worked Examples

What are the 3 ways to find the mass number?

3 Ways to Find Atomic Mass.
Look Up Atomic Mass on the Periodic Table. ... .
Sum of Protons and Neutrons for a Single Atom. ... .
Weighted Average for All Atoms of an Element..

Which is mass number?

The mass number of an atom is its total number of protons and neutrons. Atoms of different elements usually have different mass numbers , but they can be the same. For example, the mass number of argon atoms and calcium atoms can both be 40.

How do you find mass from mass number?

In an element atomic mass of an atom can be calculated by adding the mass of protons and neutrons.

How do you find the atomic number and mass number?

The mass number is the combined number of protons and neutrons in a nucleus, so it's protons and neutrons, and it's symbolized by A. So A is the mass number, which is equal to the number of protons, that's the atomic number which we symbolized by Z, plus the number of neutrons.