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To calculate the relative atomic mass of chlorine, we can use the formula:

Relative Atomic Mass = (Isotope Mass × Isotope Abundance) + (Isotope Mass × Isotope Abundance) + ...

Let's calculate it using the given information:

Isotope 1: Chlorine-35 Relative abundance: 75.53% Isotope mass: 35

Isotope 2: Chlorine-37 Relative abundance: 24.47% Isotope mass: 37

Relative Atomic Mass = (35 × 0.7553) + (37 × 0.2447)

Calculating the expression:

Relative Atomic Mass = 26.4135 + 9.0339

Relative Atomic Mass ≈ 35.4474

Therefore, the relative atomic mass of chlorine when natural chlorine is a mixture of chlorine-35 and chlorine-37 with relative abundances of 75.53% and 24.47% respectively is approximately 35.4474.

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