Average Atomic Mass (CHEM 1405)

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The average atomic mass of elements can be determined from relative abundance of each isotope in a naturally occurring element sample.  This relative abundance is obtained by running an elemental sample through a mass spectrometer.  The “spectra” is shown on the readout as different “peaks” or lines at different masses.  The machine very accurately records the experimental data and delivers it in the following form.  The atomic masses in the periodic table are based on the weighted average of the masses of all isotopes of an element.


Calculate the average atomic mass for the following sets of isotopes.

1. Carbon sample

 Isotope  Mass of isotope  Relative Abundance
C-12 12.0 amu 4945
C-13 13.003 amu 55

 

 

2. Iridium sample

 Isotope  Mass of isotope  Relative Abundance
Ir-191 191.0 amu 37.58%
Ir-193 193.0 amu 62.42%

 

 

3. Chromium sample

 Isotope  Mass of isotope  Relative Abundance
Cr-50 49.946 amu  4.35%
Cr-52 51.941 amu 83.80%
Cr-53 52.941 amu 9.50%
Cr-54 53.939 amu 2.35%

 

 

4. Chlorine sample

 Isotope  Mass of isotope  Relative Abundance
Cl-35 34.9689 amu 75.771%
Cl-37 36.9659 amu 24.229%

 

 

5. Lithium sample

 Isotope  Mass of isotope  Relative Abundance
Li-6 6.0151 amu 150
Li-7 7.0160 amu 1850

 

 

6. Hydrogen sample

 Isotope  Mass of isotope  Relative Abundance
H-1 1.0078 amu 99.985%
H-2 2.0140 amu 0.015%

 

 

7. Oxygen sample

 Isotope  Mass of isotope  Relative Abundance
O-16 15.995 amu 99.762%
O-17 16.999 amu 0.038%
O-18 17.999 amu 0.200%

 

 

8. Copper sample

 Isotope  Mass of isotope  Relative Abundance
Cu-63 62.940 amu 69.17%
Cu-65 64.928 amu 30.83%

 

 

9. Uranium sample

 Isotope  Mass of isotope  Relative Abundance
U-235 235.044 amu 0.720%
U-238 238.051 amu 99.280%

 

 

10. Magnesium sample

 Isotope  Mass of isotope  Relative Abundance
Mg-24 23.985 amu 78.70%
Mg-25 24.986 amu 10.13%
Mg-26 25.983 amu 11.17%