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Average and Relative Atomic Mass

Uranium exist...

Question

Uranium exists only as radioisotopes. The percentage abundance of three major radioisotopes are
U-238 99.27%
U-235 0.71%
U-234 0.01%
Calculate the average atomic mass of uranium upto 2 digit decimal.

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Solution

$A v e r a g e a t o m i c m a s s = \frac{x_{1} M_{1} + x_{2} M_{2} + x_{3} M_{3}}{x_{1} + x_{2} + x_{3}} = \frac{238 \times 99.27 + 235 \times 0.71 + 234 \times 0.01}{99.27 + 0.71 + 0.01} = 237.98$

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