# How to calculate the average atomic mass of 100 magnesium atoms

Different atoms have different masses. Atoms have such a small mass it is more convenient to know their masses compared to each other. Carbon is taken as the standard atom and has a relative atomic mass A r of The table shows some A r values:. These values tell you that a magnesium atom has twice the mass of a carbon atom, and 24 times more mass than a hydrogen atom. They also tell you that hydrogen atoms have 12 times less mass than a carbon atom. The A r values also allow you to work out that three oxygen atoms have the same mass as two magnesium atoms.

Chlorine's A r of The relative atomic mass of an element is a weighted average of the masses of the atoms of the isotopes - because if there is much more of one isotope then that will influence the average mass much more than the less abundant isotope will. For example, chlorine has two isotopes: 35 Cl and 37 Cl. But the relative atomic mass of chlorine is not In any sample of chlorine, 75 per cent of the atoms are 35 Cl and the remaining 25 per cent are 37 Cl.

The relative atomic mass is worked out using the following formula, illustrated for two isotopes, where the abundances are given in percentage values. For example, using chlorine:. Relative atomic mass Different atoms have different masses. Atoms with an A r of less than this have a smaller mass than a carbon atom.

Atoms with an A r that is more than this have a larger mass than a carbon atom. Calculating relative atomic mass from isotopic abundance The relative atomic mass of an element is a weighted average of the masses of the atoms of the isotopes - because if there is much more of one isotope then that will influence the average mass much more than the less abundant isotope will.

Hydrogen H. Carbon C. Oxygen O. Magnesium Mg. Chlorine Cl.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. 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.

## How to Calculate Atomic Mass

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.

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:. 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.

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 The atomic mass of carbon would be 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 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.

The answer is the total atomic mass or atomic weight of the element. What is the relative atomic mass of the element? First, convert the percentages to decimal values by dividing each percentage by The sample becomes 0.

Tip: You can check your math by making certain the decimals add up to 1. For the final answer, add these together:. 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 than average. You know this because your relative atomic mass is higher than the periodic table valueeven though the periodic table number includes heavier isotopes, such as carbon Over time, you may notice the atomic mass values listed for each element on the periodic table may change slightly.Last Updated: August 20, References.

This article was co-authored by Meredith Juncker, PhD. Her studies are focused on proteins and neurodegenerative diseases. This article has been viewedtimes. Average atomic mass is not a direct measurement of a single atom. Instead, it is the average mass per atom for a typical sample of a given element. If you could measure the mass of billions of individual atoms, you could calculate this value the same way you would find any average.

Fortunately, there is a more practical method that relies on recorded information on the rarity of different isotopes. Every day at wikiHow, we work hard to give you access to instructions and information that will help you live a better life, whether it's keeping you safer, healthier, or improving your well-being.

Amid the current public health and economic crises, when the world is shifting dramatically and we are all learning and adapting to changes in daily life, people need wikiHow more than ever. Your support helps wikiHow to create more in-depth illustrated articles and videos and to share our trusted brand of instructional content with millions of people all over the world. Please consider making a contribution to wikiHow today. If you need to find the average atomic mass of an element, you will need to look up the atomic mass and the abundance of each isotope in that element.

Multiply the mass times the abundance for each isotope, then add all of the results together to get the average atomic mass. For tips from our reviewer on how to convert the mass to the number of atoms, keep reading! Did this summary help you?

### How to Find Average Atomic Mass

Tips and Warnings. Things You'll Need. Related Articles. Article Summary. Part 1 of Understand isotopes and atomic masses.When you look up the atomic mass of an element, say carbon, you go to the periodic table and look under the element symbol. This value is actually the average atomic mass of the element.

But, average of what? Most naturally occurring elements have more than one isotope. Isotopes of an element have different masses because they contain different numbers of neutrons. When measuring the atomic mass, scientists settle on using the average mass of the naturally occurring mixture of isotopes.

Take a look at carbon: The natural abundance of carbon and carbon are The atomic mass of carbon is In order to calculate the average atomic mass, the percentage abundance must first be converted to decimals. The means that when added together, the abundances must equal one. To convert the percent abundance to a decimal, divide by The fractional abundance of carbon is 0.

Find the Average Atomic Mass - Example: Magnesium

The average atomic mass of carbon is this This is the number reported on the periodic table. It makes sense that the average atomic mass is closer to 12 since the fractional abundance of carbon is much more than carbon Here, m is the mass of a specific isotope, and f is the fractional abundance. As long as all values of f add up to one, you're good to go. This is a good check to make sure you are doing the math correctly.

Take a look at this example of calculating the average atomic mass of magnesium. The table below contains information about the isotope, mass and abundance. Begin by converting the percentages to fractional abundance by dividing each number by After doing this the table looks as follows:. In order to make sure that you have done the math correctly and that the values you have are correct, it is a good idea to make sure that all the fractional abundances add up to one.

Next, you can plug in the mass and corresponding fractional abundance into the equation described above:. It is very important to note that while the average atomic mass of magnesium is For example, the element hydrogen the lightest element will always have one proton in its nucleus. The element helium will always have two protons in its nucleus.

Atoms of the same element can, however, have differing numbers of neutrons in their nucleus. For example, stable helium atoms exist that contain either one or two neutrons, but both atoms have two protons. These different types of helium atoms have different masses 3 or 4 atomic mass unitsand they are called isotopes. For any given isotope, the sum of the numbers of protons and neutrons in the nucleus is called the mass number.

This is because each proton and each neutron weigh one atomic mass unit amu. By adding together the number of protons and neutrons and multiplying by 1 amu, you can calculate the mass of the atom.

All elements exist as a collection of isotopes. The average atomic mass of an element is the sum of the masses of its isotopes, each multiplied by its natural abundance the decimal associated with percent of atoms of that element that are of a given isotope. The average atomic mass of an element can be found on the periodic table, typically under the elemental symbol. When data are available regarding the natural abundance of various isotopes of an element, it is simple to calculate the average atomic mass.

To calculate the average mass, first convert the percentages into fractions divide them by Then, calculate the mass numbers. The chlorine isotope with 18 neutrons has an abundance of 0.

To calculate the average atomic mass, multiply the fraction by the mass number for each isotope, then add them together.

Another example is to calculate the atomic mass of boron Bwhich has two isotopes: B with Whenever we do mass calculations involving elements or compounds combinations of elementswe always use average atomic masses. Boundless vets and curates high-quality, openly licensed content from around the Internet. This particular resource used the following sources:.

Skip to main content. Mass Relationships and Chemical Equations. Search for:. Average Atomic Mass. Learning Objective Calculate the average atomic mass of an element given its isotopes and their natural abundance.Using this website means you are okay with this but you can find out more and learn how to manage your cookie choices here. Close cookie policy overlay. This week the European Tour is back in South Africa for the Joburg Open, the second time it has been played this calendar year, check out who the GM Tipster thinks will do well with these Joburg Open Golf Betting TipsThe Joburg Open has already been played once this calendar year, but it is in a new position on the schedule and also at a new venue, Randpark Golf Club, for the 2018 season.

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