While roaming a parallel universe, you discover the hypothetical element \"Z\".
ID: 1002603 • Letter: W
Question
While roaming a parallel universe, you discover the hypothetical element "Z". You obtain a representative sample of the element and discover that it is made up of two isotopes, Z-62 and Z-67. To help your science team calculate the atomic mass of the substance, you send the following drawing of your sample with your report. blue = Z-62 orange = Z-67 In the report, you also inform the science team that the blue atoms are Z-62, which have an isotopic mass of 62.965 amu, and the orange atoms are Z-67, which have an isotopic mass of 67.213 amu. What is the atomic mass of element Z?Explanation / Answer
Two isotopes of element Z are Z–62 and Z–67.
Isotopic mass of Z–62 = 62.965 amu with % natural abundance = A
Isotopic mass of Z–67 = 67.213 amu with % natural abundance = (100–A).
Then the average atomic mass is given as,
Average atomic mass = 1/100 x [(Isotopic mass of Z–62 x it’s % natural abundanace) + (Isotopic mass of Z–67 x it’s % natural abundance)]
Average atomic mass = 1/100 x [(62.965x A) + (67.213 x (100–A)]
Average atomic mass = 1/100 x [6721.3 –4.248 A]
Just knowing the value of A we can find the atomic mass of new element Z.
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