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Question

Chlorine has two stable isotopes: Cl-35 and Cl-37 with atomic masses 34.96 and 36.95, respectively. If the average mass of chlorine is 35.43, calculate the percentage abundance.

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Solution

Let x = fraction of Cl-35

Let y = fraction of Cl-37

x + y = 1

So, y = 1 - x

Given, atomic mass of Cl-35 = 34.96; atomic mass ofCl-37 = 36.95; average mass of chlorine = 35.43

34.96 × x + 36.95 × y = 35.43

34.96 × x + 36.95 × (1 - x) = 35.43 (since, y = 1 - x)

Solving for x gives x = 0.7595

Solving for y gives y = 0.2405

Multiplying with 100 gives percentage abundance:

Percentage abundance of Cl-35 = 0.7595 × 100 = 75%

Percentage abundance of Cl-37 = 0.2405 × 100 = 24.05%


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