Gallium has two naturally occurring isotopes: 69ga with a mass of 68.9256 amu and a natural abundance of 60.11% and 71ga. Using the mass of gallium from the periodic table, the mass of Ga-71 isotope is 70.9246 amu.
There are two naturally occurring isotopes of gallium: Ga-69 isotope having mass 68.9256 and percentage abundance is 60.11%, let say 'X' be the mass of isotope - Ga-71.
Its percentage abundance can be calculated as:
%Ga-71=100-60.11=39.89%
The atomic mass of an element can be calculated by adding the atomic masses of its isotopes multiplied by their percentage abundance.
In this case we have
Atomic mass = m(Ga-69)×%(Ga-69) + X ×%(Ga-71)
The atomic mass of Ga is 69.723 amu.
Now putting the values, we will get
69.723 amu = (68.9256amu)(60.11/100) + X (39.89/100)
Hence,
69.723 amu = 41.431amu + + X (39.89/100)
Now rearranging the above equation we get,
X = 69.723 amu - 41.431amu/0.3989 = 70.9246amu
Thus, the mass of Ga-71 isotope is 70.9246 amu.
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The complete question is:
Gallium has two naturally occurring isotopes: 69ga with a mass of 68.9256 amu and a natural abundance of 60.11% and 71ga. use the atomic mass of gallium from the periodic table to find the mass of gallium-71. express the mass in atomic mass units to two decimal.
