<u>Answer: </u>One isotope has a percentage abundance of 75.75 % and the percentage abundance of another isotope is 24.24%.
<u>Explanation:</u>
We are given the two stable isotopes of chlorine with their respective masses. The average atomic mass of chlorine is also given.
Average atomic mass of chlorine = 35.45 amu.
Let us assume the fractional abundance of one isotope be 'x' and the fractional abundance for another isotope will be (1 - x) because the total fractional abundance is always equal to 1.
- For Chlorine-35 isotope:
Fractional abundance = x
Mass = 34.97 amu
- For Chlorine-37 isotope:
Fractional abundance = 1 - x
Mass = 36.95 amu
The formula for the calculation of average atomic mass is given by:
Putting values in above equation, we get:
Converting these two fractional abundances into percentage abundances by multiplying it with 100.
Hence, one isotope has a percentage abundance of 75.75 % and the percentage abundance of another isotope is 24.24%.