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Rikhil M.
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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61

Problem 25 Hard Difficulty

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.

Answer

25.63$\%$ and 74.63$\%$

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Video Transcript

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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