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The element europium exists in nature as two isotopes: 151Eu has a mass of 150.9196 amu, and 153Eu has a mass of 152.9209 amu. The average atomic mass of europium is 151.96 amu. Calculate the relative abundance of the two europium isotopes.

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  1. 150.9196 / 151.96 = 0.9932. = 99.32% of 151Eu.

    Therefore, 153Eu = 0.68%.


  2. 150.9196X + 152.9209(1-X) = 151.96

    151Eu has an abundance of 48%, thus 153Eu has an abundance of 52%.

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