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Chapter 2: Q.25E (page 67)

The average atomic masses of some elements may vary, depending upon the sources of their ores. Naturally occurring, the boron consists of two isotopes with accurately known masses ( 10B, 10.0129 amu and 11B, 11.0931 amu). 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 abundance leading to the two values of the average atomic masses of boron from these two countries.

Short Answer

Expert verified

From Turkey source:% of 10B = 26.5% and % 0f 11B = 73.5%

From United States (US) source:% of 10B = 25.37% and % of 11B = 74.63%

Step by step solution

01

– Determine the percentage abundance of Boron from Turkey Source

From Turkey source

Let thepercentage abundanceof 10B be X and 11B be 100-X.

B avg. mass = [(X)×10.0129amu] +[(100-X) × 11.0931amu)]/ 100

10.807 amu = [10.0129X + 1109.31 - 11.0931X]/ 100

1080.7 amu = 1109.31 – 1.0802X

X = (1109.31-1080.7)/ 1.0802 = 26.5%

So, 100-X= 100-26.5= 73.5%

02

– Determine the percentage abundance of Boron from US Source

From US source

Let thepercentage abundanceof 10B be X and 11B be 100-X.

B avg. mass = [(X)×10.0129amu] +[(100-X) × 11.0931amu)]/ 100

10.819 amu= [10.0129X + 1109.31 - 11.0931X]/ 100

1081.9 amu = 1109.31 – 1.0802X

X = (1109.31-1081.9)/ 1.0802 = 25.37%

So, 100-X = 100- 25.37 = 74.63%

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