calculating relative atomic mass - answers included

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Calculating Relative Atomic Mass

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Page 1: Calculating relative atomic mass - answers included

Calculating Relative

Atomic Mass

Page 2: Calculating relative atomic mass - answers included

Relative atomic mass

Standard atomic weight

Average mass of an atom within a sample

Average mass of an atom within a normal sample

Page 3: Calculating relative atomic mass - answers included

Cl 35

17 Cl 37

17

Relative atomic mass (atomic weight)

abundance

# isotopes

atomic mass

In a given sample of 20,000 chlorine atoms, there are two isotopes: chlorine-35 (15,106, 34.97 u) and chlorine-37 (4,894 , 36.97u). What is the relative atomic mass?

15,106 4,894

34.97 36.97

= (N1 x Ma1) + (N2 x Ma2) number of atoms

= 35.459

= (15,106 x 34.97) + (4,894 x 36.97) (15,106 + 4,894)

= 528,256.82 + 180,931.18 20,000

= 70,9188 20,000

or 35.46

Standard atomic weight = 35.45

Page 4: Calculating relative atomic mass - answers included

Br 81

35 Br 79

35

Relative atomic mass (atomic weight)

abundance

# isotopes

atomic mass

In a given sample of bromine atoms, 20% of atoms are bromine-81 atoms (80.92u) and 80% are bromine-79 atoms (78.92u). What is the relative atomic mass?

20% 80%

80.92 78.92

= (F1 x Ma1) + (F2 x Ma2)

= 79.32

= (0.20 x 80.92) + (0.80 x 78.92)

= 16.184 + 63.136

or 79

Standard atomic weight = 79.9

Page 5: Calculating relative atomic mass - answers included

Ti 46

22 Ti 47

22

Relative atomic mass (atomic weight)

abundance

# isotopes

atomic mass

In a given sample of titanium atoms, 8.0% of atoms are titanium-46 atoms (45.95u), 7.3% are titanium-47 atoms (46.95u), 73.8% are titanium-48 atoms (47.95), 5.5% are titanium-49 atoms (48.95u), and 5.4% are titanium-50 atoms (49.94). What is the relative atomic mass?

8.0% 73.8%

45.95 47.95

= (F1 x Ma1) + (F2 x Ma2)

= 47.87946

= (0.080 x 45.95) + (0.073 x 46.95) + (0.738 x 47.95) + (0.055 x 48.95) + (0.054 x 49.94)

= 3.676 + 3.42735 + 35.3871 + 2.69225 + 2.69676

or 48

Standard atomic weight = 47.86

Ti 48

22 Ti 49

22 Ti 50

22

7.3% 5.5% 5.4%

46.95 48.95 49.94

+ (F3 x Ma3) + (F4 x Ma4) + (F5 x Ma5)

Page 6: Calculating relative atomic mass - answers included

Review

Relative atomic mass = average atomic mass in

sample

Standard atomic weight = average atomic mass in a

normal sample

Page 7: Calculating relative atomic mass - answers included

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