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Calculate the percentage abundance of Lithium-6 and Lithium-7 given their relative atomic mass is 6.94.
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Step-by-step solution
7 stepsSet up the equation for relative atomic mass.
Let be the percentage abundance of Lithium-6.
Then the percentage abundance of Lithium-7 will be .
The formula for relative atomic mass (Ar) is:Given:
Ar = 6.94
Mass of Lithium-6 = 6
Mass of Lithium-7 = 7Substitute the given values into the formula.
Solve for .
Multiply both sides by 100:
Subtract 700 from both sides:
Determine the percentage abundance of each isotope.
Percentage abundance of Lithium-6 =
Percentage abundance of Lithium-7 =The percentage abundance of Lithium-6 is and Lithium-7 is .
:
Set up the equation for relative atomic mass.
The formula for relative atomic mass (Ar) is:
Given:
Ar = 30
Abundance of isotope 1 = 65%
Mass number of isotope 1 =
Abundance of isotope 2 = 35%
Mass number of isotope 2 = 31Substitute the given values into the formula.
Solve for .
Multiply both sides by 100:
Subtract 1085 from both sides:
Divide by 65:
Since mass numbers are typically whole numbers, we can round this to the nearest whole number.
The mass number represented by is approximately (or 29.46 if not rounded).
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