Chemistry Isotopes Solution: Boron obtained from borax deposits in Death Valley...

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Solution: Boron obtained from borax deposits in Death Valley consists of two isotopes. They are boron -10 and boron -11 with atomic masses of 10.013 amu and 11.009 amu, respectively. The atomic mass of boron is 10.81 amu (see periodic table). Which isotope of boron is more abundant, boron-10 or boron-11?a. boron-11b. boron-10c. cannot be determined from data givend. neither, their abudances are the same.

Problem

Boron obtained from borax deposits in Death Valley consists of two isotopes. They are boron -10 and boron -11 with atomic masses of 10.013 amu and 11.009 amu, respectively. The atomic mass of boron is 10.81 amu (see periodic table). Which isotope of boron is more abundant, boron-10 or boron-11?

a. boron-11

b. boron-10

c. cannot be determined from data given

d. neither, their abudances are the same.

Solution

We’re being asked to determine which between boron-10 or boron-11 is more abundant.


We can use the following equation:


Atomic Mass=[mass×f.a.]isotope 1+[mass×f.a.]isotope 2


where:

atomic mass = average atomic mass of the element 

f.a. = fractional abundance of the isotope

To get f.a., we simply need to divide the given percent abundance by 100.


We’re given the following values:

Average Atomic Mass = 10.81 amu

Boron-10: Mass = 10.013 amu

Boron-11: Mass = 11.009 amu


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