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The Atomic Mass Table

Students will be able to explain how
Avogadro's Hypothesis, the Law of Dulong
and Petit, and Cannizzaro's method put
order into chemistry by fabricating a useful
and consistent table of atomic masses.
Berzelius





Invented the 1-2 letter symbol for elements
Published 43 elemental atomic masses in
1818
Determined the % composition of about
2000 compounds.
Method of Equivalent Mass








The equivalent mass of an element is
defined as the amount of that element that
will react with 8.0 grams of oxygen or its
equivalent.
Example: in silver oxide, 13.5 g Ag reacts
with 1.0 g oxygen
EqMass = 13.5 g Ag x 8 g O = 108.0 g Ag
1gO
Compare PT mass of Ag
Valence (Franklin, 1852)








How many atoms does atom X combine
with?
Defined by number of hydrogens it
combines with or replaces.
Valence negative if it combines with
hydrogen (e.g. Cl, O, N)
Valence positive if it replaces hydrogen
(e.g. Zn, Na, Fe)
Valence Method of Atomic Mass




Atomic mass of an
element is the product of
its valence and its
equivalent mass
Example, zinc: 32.6 and
valence +2



Product 65.2



Compare with PT mass
Dulong & Petit (1819)


For a solid, the product of specific heat (in
cal/g) and atomic mass is about 6



Example, copper, SH = 0.0932 cal/g



Atomic mass = 6/0.0932 = 64.4 g



Example, aluminum, SH = 0.2174 cal/g



Atomic mass = 6/0.2174 = 27.6 g



Compare with PT and discuss why this
might be so close
The Problems






The methods were close to each other but
did not converge on one or the other.
There were some big errors. Sulfur, for
instance, by Dulong-Petit has 10% error.
The methods did not work for all elements
and compounds (e.g. liquids, gases don't
work for Dulong-Petit, and some elements
have multiple valences, like Fe (+2, +3).
The Karlsruhe Conference





Purpose: come to a consensus on atomic
masses
Every important chemist in the world
Chaired by Jean Dumas, who invented the
Dumas method of molecular mass of
liquids you just studied



Broke up in confusion



But each got Cannizzaro's pamphlet
Cannizzaro's Method









Sketch of a Course of Chemical Philosophy
Impressed Lothar Meyer, who used it
extensively. Others followed.
Used Avogadro's Hypothesis to get relative
molecular masses of gases
Found smallest mass of element in several
compounds
This was the relative atomic mass
Cannizzaro's Table of Calculations

Pubs.rsc.org

No you don't have to explain it
Example
Substance

Density

in gaseous

(g/L)

Percentage Product of
hydrogen by
mass

state

Values in

density &

(3) divided

percent (3)

by least

Water

0.589

11.2

0.0659

value
2

Ammonia

0.557

17.7

0.0986

3

Methane

0.524

25.1

0.132

4

You see that the numbers in the last column are
the number of hydrogen atoms in each molecule of
the substance
Next step




Once Cannizzaro had the number of atoms
of an element in a compound, he could use
the several tables to converge on an
atomic mass
Our example: fixed air, a compound of C
and O, had a MM of 44. Once we knew
that there are two oxygen atoms in each
molecule, we subtract 32 from 44 and get
12, the atomic mass of carbon
Acceptance








Lothar Meyer said “the scales fell from my
eyes.”
With a reliable set of atomic masses, the
science of stoichiometry and prediction of
amounts of products and reactants moved
forward rapidly.
This gave Meyer and Mendeleev the data
they needed to produce periodic tables.
Why did Mendeleev prevail?

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Atomic massscale--history

  • 1. The Atomic Mass Table Students will be able to explain how Avogadro's Hypothesis, the Law of Dulong and Petit, and Cannizzaro's method put order into chemistry by fabricating a useful and consistent table of atomic masses.
  • 2. Berzelius    Invented the 1-2 letter symbol for elements Published 43 elemental atomic masses in 1818 Determined the % composition of about 2000 compounds.
  • 3. Method of Equivalent Mass     The equivalent mass of an element is defined as the amount of that element that will react with 8.0 grams of oxygen or its equivalent. Example: in silver oxide, 13.5 g Ag reacts with 1.0 g oxygen EqMass = 13.5 g Ag x 8 g O = 108.0 g Ag 1gO Compare PT mass of Ag
  • 4. Valence (Franklin, 1852)     How many atoms does atom X combine with? Defined by number of hydrogens it combines with or replaces. Valence negative if it combines with hydrogen (e.g. Cl, O, N) Valence positive if it replaces hydrogen (e.g. Zn, Na, Fe)
  • 5. Valence Method of Atomic Mass   Atomic mass of an element is the product of its valence and its equivalent mass Example, zinc: 32.6 and valence +2  Product 65.2  Compare with PT mass
  • 6. Dulong & Petit (1819)  For a solid, the product of specific heat (in cal/g) and atomic mass is about 6  Example, copper, SH = 0.0932 cal/g  Atomic mass = 6/0.0932 = 64.4 g  Example, aluminum, SH = 0.2174 cal/g  Atomic mass = 6/0.2174 = 27.6 g  Compare with PT and discuss why this might be so close
  • 7. The Problems    The methods were close to each other but did not converge on one or the other. There were some big errors. Sulfur, for instance, by Dulong-Petit has 10% error. The methods did not work for all elements and compounds (e.g. liquids, gases don't work for Dulong-Petit, and some elements have multiple valences, like Fe (+2, +3).
  • 8. The Karlsruhe Conference    Purpose: come to a consensus on atomic masses Every important chemist in the world Chaired by Jean Dumas, who invented the Dumas method of molecular mass of liquids you just studied  Broke up in confusion  But each got Cannizzaro's pamphlet
  • 9. Cannizzaro's Method      Sketch of a Course of Chemical Philosophy Impressed Lothar Meyer, who used it extensively. Others followed. Used Avogadro's Hypothesis to get relative molecular masses of gases Found smallest mass of element in several compounds This was the relative atomic mass
  • 10. Cannizzaro's Table of Calculations Pubs.rsc.org No you don't have to explain it
  • 11. Example Substance Density in gaseous (g/L) Percentage Product of hydrogen by mass state Values in density & (3) divided percent (3) by least Water 0.589 11.2 0.0659 value 2 Ammonia 0.557 17.7 0.0986 3 Methane 0.524 25.1 0.132 4 You see that the numbers in the last column are the number of hydrogen atoms in each molecule of the substance
  • 12. Next step   Once Cannizzaro had the number of atoms of an element in a compound, he could use the several tables to converge on an atomic mass Our example: fixed air, a compound of C and O, had a MM of 44. Once we knew that there are two oxygen atoms in each molecule, we subtract 32 from 44 and get 12, the atomic mass of carbon
  • 13. Acceptance     Lothar Meyer said “the scales fell from my eyes.” With a reliable set of atomic masses, the science of stoichiometry and prediction of amounts of products and reactants moved forward rapidly. This gave Meyer and Mendeleev the data they needed to produce periodic tables. Why did Mendeleev prevail?

Editor's Notes

  1. Mendeleev prevailed because he predicted a number of elements that would be discovered, and their properties and masses.