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The average atomic masses of some elements may vary, depending upon the sources of their ores. Naturally occurring boron consists of two isotopes with accurately known masses $\left(^{10} B, 10.0129 amu \text { and }^{11} B, 11.0931 amu\right)$ The actual atomic mass of boron can vary from 10.807 to 10.819, depending on whether the mineral source is from Turkey or the United States. Calculate the percent abundances leading to the two values of the average atomic masses of boron from these two countries.

25.63$\%$ and 74.63$\%$

Chemistry 101

Chapter 2

Atoms, Molecules, and Ions

Atoms, Molecules and Ions

University of Central Florida

Drexel University

University of Toronto

Lectures

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Use the conventional atomi…

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Naturally occurring boron …

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01:14

Boron-10 and boron-11 are …

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12:47

Well, everyone, this is Ricky and they're working on problems, life and what we're going to be doing this. So we're given to isotopes of boron. You're on 10 and bore on 11 in their masses, 10.1 to 90 of you and 11.931 AM you all right? And the actual atomic mass of boron or on Turkey is equal to 10.807 Well bore on USA is equal to 10.819 and we have to calculate the percent. Abundance is leading to the two values. Okay, so if so, let's write down a formula Average mass, the sum of mass of isotope times. It's percent abundance if we say that percent abundance of bar on 10 ISS or Barn 11 is X born 10 is one minus eggs. Then we have two equations that we can plug in to solve for X. All right, so let's start with Turkey. 10.807 a. M. U is equal to one minus X times 10 0.1 to 9 a.m. U. Course 11.931 times eggs. We get 10.807 minus 10.1 to 9 is equal to 1.802 X X is equal to 0.735 All right, so that means the fractional abundance of boron you love in is equal to 73.5% and bore on 10 is equal to 26.5% when in Turkey. And now let's do the same thing in the U. S. When we have a am you of 10 point 819 which is equal to you one minus x times 10.1 to 9 a.m. u plus 11.93 warning you Times x And if we go through and solve for X, we get 10 weren't eight 19 minus 10.129 is equal to 1.80 to x x equals 0.7463 means percent abundance of boron 11 isn't before 110.63% and percent abundance of boron 10 is equal to 25 163% in us. So I hope this video is helpful. See you in the next one

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