Attentively analyzing hundreds and hundreds of samples of rocks, minerals, soils, waters.
How do you calculate percent abundance of an isotope?You find the isotope number and then you calculate that into a fraction and then turn the fraction into a percentage and divide it by the atomic number then times it by the mass and turn that answer into a percent and voila, there you have it.
To calculate the atomic mass of chlorine using its naturally occurring isotopes, you can use the formula: Atomic mass = (abundance of isotope 1 × atomic mass of isotope 1) + (abundance of isotope 2 × atomic mass of isotope 2). In this case, you would multiply the atomic mass of each isotope by its respective abundance (expressed as a decimal) and sum the results to find the weighted average atomic mass of chlorine.
In chemistry, natural abundance refers to the abundance of isotopes of a chemical element that is naturally found on a planet. Its formula is given as: abundance of isotope = average atomic weight of the element / exact weight of isotope.
What is the average mass of an element's naturally occurring atom or isotopes?The average mass of an element's naturally occurring isotopes is the sum of the (isotope's atomic mass * % Natural abundance)Below are the 3 naturally occurring isotopes of Oxygen and their % Natural abundance.O-16 15.99491463 99.757%O-17 16.9991312 0.038%)O-18 17.9991603 0.205%Now multiply and find the average atomic weight of OxygenO-16 (15.99491463 * .99757) = 15.95605O-17 (16.9991312 * 0.00038) = 0.00646 O-18 17.9991603 * 0.00205) = 0.036898Sum =15.95605 + 0.00646 + 0.036898 = 15.9994My Periodic Table has the Atomic Mass of Oxygen as 15.999. Yee Haw!
The atomic mass of an element is based upon the weighted average of the atomic masses of the naturally occurring isotopes of that element. We need to know what isotopes of a given element occur in nature, and what percentage of the natural abundance of an element each of those naturally occurring isotopes represents. What that means might be more easily seen if we just run through some examples. So let's run through some.We have an element with 3 naturally occurring isotopes. They occur equally. That is, each one represents a third of the natural atoms, or 33 1/3 % of them. If the atomic masses of our isotopes are 17, 18 and 19, and all occur equally, then it's 17 + 18 + 19 (which equals 54) divided by 3 which is 54 divided by 3 which is 18. Our atomic mass for the element cited is 18, and that represents all the natural isotopes and the percentage in which they occur. Pretty easy.We have an element with 4 naturally occurring isotopes. Here are their atomic masses and percent abundance: a = 46 (25%), b = 47 (50%), c = 48 (15%), and d = 49 (10%). There is a (fairly) simple process one can use to find the weighted average. Multiply the percent natural abundance times the atomic mass of each one and add them all together. Not to difficult, is it? Roll up your sleeves and let's have at it.46 x 25% = 11.547 x 50% = 23.548 x 15% = 7.249 x 10% = 4.911.5 + 23.5 + 7.2 + 4.9 = 47.1 atomic mass unitsSo now we have our atomic mass for our mystery element in example two. We calculated it by determining a weighted average of the naturally occurring isotopes. And that's very important information to take to the lab where we'll be measuring (weighing) some of this stuff.
An aquamarine is a precious stone that can be found naturally occurring in abundance in Brazil, and other countries such as Madagascar, Nigeria, and Mozambique. In the United States of America there are a few mines available for digging in North Carolina, Colorado, and Maine.
To find the average atomic mass of the element, you would need the mass of each isotope and their corresponding natural abundance percentages. Multiply the mass of each isotope by its respective abundance percentage, then sum these values for all isotopes to determine the average atomic mass of the element.
Many chemical analysis of minerals and waters are needed.
You would need to know the abundance of each isotope to find the average atomic mass of the element. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and then summing these values together.
The abundance percentage of each isotope
The only way is to look it up. The isotopic ratio can be determined on a mass spectrometer. Most periodic tables will have the atomic mass otherwise Google the element the wikipedia article will have the average mass of the element listed there. A few elements like Lead do have differing isotopic ratios depending where it was mined.
a naturally occurring magnet composed of a form of iron called magnetite