Lecture notes: CHEM103 Fall 2008 – September 18

 

 

Outline for the day:

                   ATOMIC STRUCTURE

·        review:

a.     mass spectrometry

·        elemental isotopes & isotopic abundance

·        atomic symbols (atomic number & mass number)

·        conversions between amu, gram, atom, mole…

applied to calculations using atomic mass

 

 

 

MASS SPECTROMETRY REVISITED…

 

 

 

siL48593_0b2_02

 

 

 

 

 

WHAT DOES THIS LOOK LIKE?

 

siL48593_0b2_02

 

 

 

 

 

 

WHY?

 

siL48593_0b2_01         

 

 

 

 

WHY ARE THERE MULTIPLE PEAKS?

 

 

 

 

THEN HOW IS THIS POSSIBLE – WHY DO THESE ATOMS DIFFER FROM EACH OTHER?

 

 

 

 

RELATIONSHIPS BETWEEN ISOTOPES:

 

                   SAME number of PROTONS, but DIFFERENT number of NEUTRONS

 

                   CHEMICALLY the SAME: they react to form the same compounds, BUT

different mass (obvious!)

so they react at different rates (and there are other different mass-related behaviors…)

PLUS, the issue of stability – may be radioactive!

 

 

 

 

 

 

HOW DO WE DESCRIBE THE CONTENTS OF DIFFERENT ISOTOPES OF AN ATOM?

                   (SIMPLY & COMPACTLY, BUT GETTING ALL THE DETAILS…)

 

 

ATOMIC SYMBOLS, INCLUDING MASS NUMBER AND ATOMIC NUMBER

         

mass number

 

charge

 
 


atomic number

 

number of atoms

 
                                                X              ß “X” = any atomic symbol

 

 

                   Mass #: the mass of a single atom, measured in amu (note: round to an integer)

         

 

                   Atomic #: the number of protons in an atom of this type

                             -  from this, you can get the # of protons – duhh…

                             -  IF a neutral atom, you also know the # of electrons

                             -  by subtracting the Atomic # from the Mass #, you can calculate the # of neutrons

 

 

                   Charge: the total charge of the atom accounting for protons AND electrons

                                      calculated as: [number of protons] – [number of electrons]

-          from this, you can get the # of electrons in a charged atom (an ION)

 

 

 

 

Examples using atomic number & mass number:

 

                          

carbon-12, carbon-13

 

                   hydrogen, deuterium, tritium

 

                   palladium isotopes:  how many protons, neutrons, electrons in 106Pd, 108Pd, 105Pd?

 

 

Isotopic abundances of Pd

 

 

 

 

 

 

 

WHY ARE THE ATOMIC WEIGHTS LISTED ON THE PERIODIC TABLE ALWAYS NON-INTEGER,

… WHILE THE MASS NUMBER IS ALWAYS AN INTEGER???

 

 

RELATIONSHIP OF MASS NUMBER TO ATOMIC MASS (ATOMIC WEIGHT)

 

REMEMBER: MASS NUMBER ≠ ATOMIC MASS !!!

 

 

 

 

Examples of isotopic abundance and the calculation of average atomic mass:

 

 

What is the global average atomic mass of oxygen?

 

                   16O  (mass = 15.994 914  amu) ; abundance = 99.757%

 

                   17O  (mass = 16.999 131  amu) ; abundance = 0.038%

 

                   18O (mass = 17.999 160  amu); abundance = 0. 205%

 

 

 

What is the global abundance (in %) of carbon-13 (13C)?

 

          GIVEN (only) TWO ISOTOPES:

 

                   12C  (mass = 12.000 000  amu)

 

                     &    

                    13C  (mass = 13.003 354 838  amu)

 

                             AND their (average) atomic mass = 12.010 78  amu

 

 

NOTE:  (1 amu is DEFINED as the mass of 1/12 of an atom of carbon-12)

 

         

 

 

MOLES, ATOMS & MASS (IN AMU & GRAMS)

 

 

Question: HOW MANY ATOMS ARE THERE PER GRAM OF C-12?

 

 

 

                   12C  (mass = 12.000 000  amu)

 

1 amu = 1.6606 x 10-24 g

 

 

Question: HOW MANY ATOMS ARE THERE IN 12 GRAMS OF C-12?

 

 

 

 

 

 

 

 

NOTES:                 NA named in honor of Amadeo Avogadro, not by him…

                            

…a mole, like a dozen, doesn’t specify WHAT it counts so the units are:

                                                                   6.022×1023 mol-1          (per mole)

 

 

                            

1 mole of “.” stacked end to end ≈ the radius of the GALAXY! (~50,000 light years) or 5×1020 m

                             AND

                             1 mole of water molecules ≈ a small-ish gulp…

 

 

 

 

SO – atomic mass (average) given in units of g/mol OR amu/atom – these are equivalent!

                             sometimes called the atomic weight, or better: molar mass