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Weighted averages, help please

Weighted averages, help please-example-1
User Imjared
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1 Answer

4 votes

Answer:

Average atomic mass of Cl = 35.48 amu

Average atomic mass of B = 10.8 amu

Average atomic mass of Ag = 107.96 amu

Step-by-step explanation:

1)

Given data:

Abundance of Cl-35 = 75.8%

Abundance of Cl-37 = 24.2%

Average atomic mass = ?

Solution:

Average atomic mass = (abundance of 1st isotope × its atomic mass) +(abundance of 2nd isotope × its atomic mass) / 100

Average atomic mass = (75.8×35)+(24.2×37) /100

Average atomic mass = 2653 + 895.4 / 100

Average atomic mass = 3548.4 / 100

Average atomic mass = 35.48 amu

2)

Given data:

Abundance of B-10 = 19.8%

Abundance of B-11 = 80.2%

Average atomic mass = ?

Solution:

Average atomic mass = (abundance of 1st isotope × its atomic mass) +(abundance of 2nd isotope × its atomic mass) / 100

Average atomic mass = (19.8×10)+(80.2×11) /100

Average atomic mass = 198 +882.2 / 100

Average atomic mass = 1080.2 / 100

Average atomic mass = 10.8 amu

3)

Given data:

Abundance of Ag-107 = 52%

Abundance of Ag-109 = 48%

Average atomic mass = ?

Solution:

Average atomic mass = (abundance of 1st isotope × its atomic mass) +(abundance of 2nd isotope × its atomic mass) / 100

Average atomic mass = (52×107)+(48×109) /100

Average atomic mass = 5564 +5232 / 100

Average atomic mass = 10796 / 100

Average atomic mass = 107.96 amu

User Browny Lin
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