Answer :
Final answer:
We determine the percentage of iridium-193 in naturally occurring iridium by setting up an equation based on the weighted average atomic mass of iridium, using the masses of iridium-191 and iridium-193. By solving the equation, we find the proportion of iridium-193 which we can then express as a percentage.
Explanation:
To find the percentage of the isotope iridium-193, let's assume that the proportion of the isotope iridium-191 is x. Therefore, the proportion of iridium-193 would be (1-x). Given that the atomic mass of iridium is a weighted average of the mass of its isotopes, we can set up the following equation based on their atomic masses:
190.96059x + 192.96293(1-x) = 192.22
By solving this equation, we find the proportion of iridium-191 and subtract it from 1 to find the proportion of iridium-193. We then multiply the final result by 100 to express it as a percentage.
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