Isotopes and Atomic Mass



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Isotopes

  • Isotopes

  • are atoms of the same element that have different mass numbers.

  • have the same number of protons, but different numbers of neutrons.



An atomic symbol

  • An atomic symbol

  • represents a particular atom of an element.

  • gives the mass number in the upper left corner and the atomic number in the lower left corner.

  • Example: An atom of sodium with atomic number 11 and a mass number 23 has the following atomic symbol:

  • mass number 23

  • Na

  • atomic number 11



The atomic symbol for a specific atom of an element

  • The atomic symbol for a specific atom of an element

  • gives the

  • number of protons (p+),

  • number of neutrons (n),

  • and number of electrons (e-).



Examples of number of subatomic particles for atoms

  • Examples of number of subatomic particles for atoms

  • Atomic symbol

  • 16 31 65

  • O P Zn

  • 8 15 30

  • 8 p+ 15 p+ 30 p+

  • 8 n 16 n 35 n

  • 8 e- 15 e- 30 e-



Naturally occurring carbon consists of three isotopes: 12C, 13C, and 14C. State the number of protons, neutrons, and electrons in each of the following:

  • Naturally occurring carbon consists of three isotopes: 12C, 13C, and 14C. State the number of protons, neutrons, and electrons in each of the following:

  • 12C 13C 14C

  • 6 6 6

  • protons ______ ______ ______

  • neutrons ______ ______ ______

  • electrons ______ ______ ______



12C 13C 14C

  • 12C 13C 14C

  • 6 6 6

  • protons 6 p+ 6 p+ 6 p+

  • neutrons 6 n 7 n 8 n

  • electrons 6 e- 6 e- 6 e-



Write the atomic symbols for atoms with the following subatomic particles:

  • Write the atomic symbols for atoms with the following subatomic particles:

  • A. 8 p+, 8 n, 8 e- ___________

  • B. 17p+, 20n, 17e- ___________

  • C. 47p+, 60 n, 47 e- ___________



  • A. 8 p+, 8 n, 8 e- 16O

  • 8

  • B. 17p+, 20 n, 17e- 37Cl

  • 17

  • C. 47p+, 60 n, 47 e- 107Ag

  • 47



1. Which of the pairs are isotopes of the same element?

  • 1. Which of the pairs are isotopes of the same element?

  • 2. In which of the pairs do both atoms have 8 neutrons?

  • A. 15X 15X

  • 8 7

  • B. 12X 14X

  • 6 6

  • C. 15X 16X

  • 7 8



B. 12X 14X

  • B. 12X 14X

  • 6 6

  • The atomic symbols in “B.” represent isotopes of carbon with 6 protons each, but one has 6 neutrons and the other has 8.

  • C. 15X 16X

  • 7 8

  • These isotopes of nitrogen and oxygen have 8 neutrons.







A sample of naturally

  • A sample of naturally

  • occurring sulfur contains

  • several isotopes with the

  • following abundances

  • Isotope % abundance

  • 32S 95.02

  • 33S 0.75

  • 34S 4.21

  • 36S 0.02



The atomic mass of an element

  • The atomic mass of an element

  • is listed below the symbol of each element on the periodic table.

  • gives the mass of an “average” atom of each element compared to 12C.

  • is not the same as the mass number.





The atomic mass of chlorine is

  • The atomic mass of chlorine is

  • due to all the Cl isotopes.

  • not a whole number.

  • the average of two isotopes: 35Cl and 37Cl.



Using the periodic table, specify the atomic mass of

  • Using the periodic table, specify the atomic mass of

  • each element.

  • A. calcium __________

  • B. aluminum __________

  • C. lead __________

  • D. barium __________

  • E. iron __________



Using the periodic table, specify the atomic mass of

  • Using the periodic table, specify the atomic mass of

  • each element:

  • A. calcium 40.08 amu

  • B. aluminum 26.98 amu

  • C. lead 207.2 amu

  • D. barium 137.3 amu

  • E. iron 55.85 amu



The calculation for atomic mass requires the

  • The calculation for atomic mass requires the

  • percent(%) abundance of each isotope.

  • atomic mass of each isotope of that element.

  • sum of the weighted averages.

  • mass of isotope(1)x (%) + mass of isotope(2) x (%) +

  • 100 100



35Cl has atomic mass 34.97 amu (75.76%) and 37C

  • 35Cl has atomic mass 34.97 amu (75.76%) and 37C

  • has atomic mass 36.97 amu (24.24%).

  • Use atomic mass and percent of each isotope to calculate the contribution of each isotope to the weighted average.

  • 34.97 x 75.76 = 26.49 amu

  • 100

  • 36.97 x 24.24 = 8.961 amu

  • 100

  • Sum is atomic mass of Cl 35.45 amu



Isotope Mass Abundance

  • Isotope Mass Abundance

  • 24Mg = 23.99 amu x 78.70/100 = 18.88 amu

  • 25Mg = 24.99 amu x 10.13/100 = 2.531 amu

  • 26Mg = 25.98 amu x 11.17/100 = 2.902 amu

  • Atomic mass (average mass) Mg = 24.31 amu



The atomic mass of Mg

  • The atomic mass of Mg

  • is due to all the Mg isotopes.

  • is a weighted average.

  • is not a whole number.



Gallium is an element found in lasers used in compact disc players. In a sample of gallium, there is 60.10% of 69Ga (atomic mass 68.926) atoms and 39.90% of 71Ga (atomic mass 70.925) atoms.

  • Gallium is an element found in lasers used in compact disc players. In a sample of gallium, there is 60.10% of 69Ga (atomic mass 68.926) atoms and 39.90% of 71Ga (atomic mass 70.925) atoms.

  • What is the atomic mass of gallium?



69Ga

  • 69Ga

  • 68.926 amu x 60.10 = 41.42 amu (from 69Ga)

  • 100

  • 71Ga

  • 70.925 amu x 39.90 = 28.30 amu (from 71Ga)

  • 100

  • Atomic mass Ga = 69.72 amu



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