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Boron has an average atomic mass of 10.81. One isotope of boron has a mass of 10.012938 and relative abundance of 19.80% . The other isotope has a relative abundance of 80.20% . What is the mass of that isotope? Report to two decimal places. square amu DONE

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Boron has an average atomic mass of 10.81. One isotope of boron has a mass of 10.012938 and
relative abundance of 19.80% . The other isotope has a relative abundance of 80.20% .
What is the mass of that isotope? Report to two decimal places.
square 
amu
DONE

Boron has an average atomic mass of 10.81. One isotope of boron has a mass of 10.012938 and relative abundance of 19.80% . The other isotope has a relative abundance of 80.20% . What is the mass of that isotope? Report to two decimal places. square amu DONE

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ImaniProfessional · Tutor for 6 years

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The mass of the second isotope is 11.01 amu.

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## Step 1:<br />Identify the given values:<br />- Average atomic mass (\(\text{average atomic mass}\)) = 10.81 amu<br />- Mass of the first isotope (\(\text{mass of isotope 1}\)) = 10.012938 amu<br />- Relative abundance of the first isotope (\(\text{abundance of isotope 1}\)) = 19.80% or 0.198<br />- Relative abundance of the second isotope (\(\text{abundance of isotope 2}\)) = 80.20% or 0.802<br /><br />## Step 2:<br />Use the formula for average atomic mass:<br />### \[\text{average atomic mass} = (\text{abundance of isotope 1} \times \text{mass of isotope 1}) + (\text{abundance of isotope 2} \times \text{mass of isotope 2})\]<br /><br />## Step 3:<br />Substitute the known values into the formula and solve for the mass of the second isotope (\(\text{mass of isotope 2}\)):<br />### \[10.81 = (0.198 \times 10.012938) + (0.802 \times \text{mass of isotope 2})\]<br /><br />## Step 4:<br />Calculate the product of the first isotope's abundance and mass:<br />### \[0.198 \times 10.012938 = 1.982564324\]<br /><br />## Step 5:<br />Subtract this value from the average atomic mass to isolate the second isotope term:<br />### \[10.81 - 1.982564324 = 8.827435676\]<br /><br />## Step 6:<br />Divide this result by the abundance of the second isotope to find its mass:<br />### \[\text{mass of isotope 2} = \frac{8.827435676}{0.802} \approx 11.01\]<br /><br />#
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