Question

Carbon occurs in nature as a mixture of carbon 12 and carbon 13. The average

atomic mass of carbon is 12.011. What is the percentage abundance of carbon

12 in nature?​

Answer 1

Answer:

hi

here is your answer

Percentage abundance of Carbon -12 isotope is 98.9%

Explanation: We are given average atomic mass of carbon to be 12.011 amu.

We take fractional abundance of Carbon-12 isotope = x

Mass of Carbon-12 isotope = 12 amu

Fractional isotope of Carbon-13 isotope = (1 - x)

Mass of Carbon-13 isotope = 13 amu

Using the formula:

\text{Average atomic mass of an element}=\sum_{i=1}^n(\text{Atomic mass})_i(\text{Fractional abundance})_iAverage atomic mass of an element=∑

i=1

n

(Atomic mass)

i

(Fractional abundance)

i

Putting all the values in above equation, we get

12.011=(12)(x)+(13)(1-x)12.011=(12)(x)+(13)(1−x)

x = 0.989

To convert fractional abundance into percentage abundance, we multiply it by 100.

\% \text{ abundance}=0.989\times 100% abundance=0.989×100

Percentage abundance of carbon-12 isotope = 98.9 %

hope it helps

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