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Tuesday January 16, 2024   Day 6
Atoms and Atomic Theory
Textbook Readings:

2.1: Brownian Motion - Evidence for Atoms
2.2: Early Ideas Building Blocks of Matter
2.3: Mod. Atomic Theory and  Laws That Led to It
2.4: The Discovery of the Electron


2.E: Atoms and Elements (Exercises)

Course Lectures

2.1  pdf  Video* Atomic Theory

Models of the Atom Timeline



Discovery of the Electron: Cathode Ray Tube Experiment



Objectives

1. Describe the evolution of the atomic model beginning with the early Greek philosophers ntil current times

2.  Describe the events that led Daulton to his discovery of the electron.

3.  Describe the key components of Rutherford's experiments and the results that led him to discover the nucleus.

4. Use elemental mass data to verify the laws of definite and multiple proportions.
Discovery of the Nucleus: Rutherford's Gold Foil Experiment boom



Homework Problems

6.1 How are the JJ Thomson plumb pudding and modern atomic models the same?  How are they different?

6.2  What were the key conclusions of JJ Thomson's experiments and analysis ?

6.3  What experimental  result did Earnest Rutherford obtain that suggest the nucleus of the atom was small and positively charged?

6.4  Who was Democritus and did he get  it right?

6.5   A sample of compound X (a clear, colorless, combustible liquid with a noticeable odor) is analyzed and found to contain 14.13 g carbon and
        2.96 g hydrogen. A sample of compound Y (a clear, colorless, combustible liquid with a noticeable odor that is slightly different from
         X’s odor) is analyzed and found to  cvontain 19.91 g carbon and 3.34 g hydrogen. Are these data an example of the law of definite
         proportions, the law of multiple proportions, or neither?
          What do these data tell you about substances X and Y?

6.6  A sample of compound A (a clear, colorless gas) is analyzed and found to contain 4.27 g carbon and 5.69 g oxygen. A sample of compound B
       (also a clear, colorless gas) is analyzed and found to contain 5.19 g carbon and 13.84 g oxygen. Are these data an example of the law of definite
       proportions, the law of multiple proportions, or neither? What do these data tell you about substances A and B?


Click and drag below for answers:

6.1 Both models include negatively charged electrons but in Thomson's model the positive charge is spread uniformly throughout the atom. 
     The modern model also incorporates negatively charged electrons that are located in regions outside the positively charged nucleus

6.2   That electrons were negatively charged,  much smaller than the atom and balanced by something that was positively charged (later found to be protons)

6.3 Very few positively charged alpha particles were deflected back after being fired at a gold foil suggesting the presense of a small, dense nucleus that was struck only infrequently.  In most cases the alpha particles passed through atoms with little interference at all.

6.4   Democritus was an ancient philosopher who spectulated that matter could only be divided to a point and that at that point you had the smallest piece of matter that could be identified.  He called this atomos (we later morphed this into "atom")

6.5  Check your answer with the book.  :)

6.6  Check your answer with the book.  :)


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Wednesday January 17, 2024   Day 7
Subatomic Particles and The Periodic Table
Textbook Readings:

2.5 The Structure of the Atom

Course Lectures



Millikan Oil Drop Experiment (Elemental Charge)





Introduction to Subatomic Particles and Nuclide Symbols





Objectives

1.  Describe the Millikan oil drop experiment and how gravity and
    electrical forces were used to determine the electron's charge.

2. Provide mass, charge and location information  for all three
     subatomic particles inside  an atom (Protons, Neutrons and Electrons)

3. Determine proton or electron numbers for neutral atoms

4.  Write nuclide symbols for neutral atoms and determine nuetron
     numbers from given nuclide symbols and information available
     on the periodic table (Atomic number and Atomic mass)

5.  Use nuclide symbols to determine numbers of protons, neutrons and
     electrons for specified atoms.

6. Know how the following terms apply to the periodic table
    Group, Period, alkali metals, alkaline earth metals
    Metals, metaloids, non-metals, halogens, noble gases

7. List properties of alkali metals, alkaline earth metals, halogens,
    noble gases. metals metaloids and non-metals

8.  Know what it means to say that elements in the same group have
     similar chemical and physical properties.


The Periodic Table: Classification of the Elements


Homework Problems

7.1  In Coulombs, what are the charges of protons and electrons?  How do they compare? How do they differ?

7.2  In the Milikan Oil Drop experiment, if the applied electrical force is too small, how does the oil droplet respond?

7.3  How many electrons would be required to equal the mass of a single proton?

7.4  Use your periodic table to determine the number of protons and electrons for each of the following neutral atoms:
       a. chlorine atom       b. cobalt atom          c.   potassium atom          d. argon atom        e. iron atom          f. silver atom        g. tungsten atom

7.5  What is the "atomic mass" and where is it found on the perioodic table?  What is the "atomic number" and where is it found on the periodic table?

7.6  For each of the following neutral nuclide symbols, list the numbers of protons, neutrons and electrons.
Nuclide 1

7.7  For each of the following nuclide symbols list the numbers of protons, neutrons and electrons.
nuclide 2
7.8  Why are eleectrons not usually included in an atom's atomic mass?

7.9 How many protons and neutrons are found in an argon-40 nucleus?

7.10 How many protons and  neutrons are found in a carbon - 13 nucleus?

7.11  List the common physical and chemical properties of  Metals, Metaloids and Non-metals

7.12  Identify the element that is an alkaline earth metal in period 4

7.13.  Identify the element that is a halogen in period 5

7.14  Identify the period 3 element that is a metaloid

7.15  Which of the following elements would have chemical and physcical properties similiar to sulfur?   
         Phosphorus,   Nitrogen,  Oxygen, Fluorine, Chlorine, Bromine, Selenium, Arsenic

7.16   Protons are found closely packed into an atom's nucleus.  Since they are all positively charged they repel each other strongly.
         What keeps the protons from  pushing away from eachother and exploding the nucleus?


Click and drag below for answers:

7.1 Proton:  + 1.602 x 10-19 C     Electron:  - 1.602 x 10-19 C     They are equal but opposite in sign
7.2 The applies electric force pulls against gravity.  If the electric force is too small, gravity wins and the droplet falls
7.3 Massproton  = 1.6726 x 10-27 kg    Masselectron = 9.10 x 10-31 kg     It would require approximately 1840 electrons to equal the mass of a proton
7.4  Since the question specifies "Neutral" atoms, we know the numbers of protons and electrons are equal.  We get the proton count
       from the elements "atomic number" on the periodic table.
       a. 17 protons and electrons   b.  27 protons and electrons    c. 19 protons and electrons    d. 18 protons and electrons   e. 26 protons and electrons
       f. 47 protons and electrons    g. 74 protons and electrons
7.5  The atomic mass of an element is usually found beneath the element's symbol on the periodic table.  It is the average mass of an atom in amu
       units and is also the molar mass of the element in grams (same number...different meaning)
       The atomic number of an element is usually found above the element's symbol on the periodic table.  It tells us the number of protons in
       the atom's nucleus.
7.6  Since all are neutral species, electons = protons
      a. 5 protons   10 - 5 = 5 neutrons       b. 5 protons     11 - 5 = 6 neutrons       c. 6 protons      12 - 6 = 6 neutrons
      d. 6 protons   13 - 6 = 7 neutrons       e. 8 protons     16 - 8 = 8 neutrons       f.  8 protons      17 - 8 = 9 neutrons
     g. 8 protons   18 - 8 = 10 neutrons      h.  17 protons  35 - 17 = 18 neutrons   i.  17 protons   37 - 17 = 20 neutrons
7.7  Post your answers in the Week 2 discussion forum. 
7.8  The mass of an electron is very small in comparison to protons and neutrons.  Consequently, electron masses usually aren't included in atomic masses.
7.9  Argon-40 has a total of 40 protons and neutrons.  From the periodic table, we obtain argon's atomic number (18).  Thus argon has 18 protons and
       40 - 18 = 22 nuetrons.
7.10 Carbon-13 has a total of 13 protons and neutrons.  From the periodic table, we obtain carbons's atomic number (6).  Thus carbon-13 has 6 protons and
       13 - 6 = 7 nuetrons.
7.11    Metals:  Good conductors of heat and electricity, malleable (What does this mean?), Ductile (What does this mean?) Shiny and
                          metals lose electrons when they undergo chemical change       
           Non- Metals:  depending on the element, may be solid, liquid or gas,   poor conductors of heat and electricity (Insulators),
                          non-metals gain electrons when undergoing chemical change

          Metaloids:    Mixed properties depending on the element.  Silicon can be both electrically conductive and non-conductive depending on the
                          situation.  Consequently, it is useful in electronics where the ability to be both is useful.
7.12   Calcium
7.13   Iodine
7.14   Silicon
7.15  Oxygen and Selenium are in the same checmical group as sulfur and are therefore expected to have similar chemical and physical properties.
7.16   Neutrons are required in the nucleus to keep protons from pushing away from themselves.  The neutrons add what's known as a
          strong nuclear attraction (or force) that "glues" the nucleus together.




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Thursday January 18, 2024   Day 8
Isotopes, Average Atomic Mass and Mass Spectrometry
Textbook Readings:

2.5 The Structure of the Atom

Mass Spectrometry ...some details


Course Lectures
Isotopes


Average atomic mass


Objectives


1. Know the meanings of the terms isotope, neutron, proton
          atomic mass, percent abundance,  weighted average,
           average atomic mass.

2. Know that for a specific element, all % abundances sum to 100%
          and use this fact to determine % abundances of an unknown
           isotope.

3. Calculate the average atomic mass given percent abundances
           and masses for all individual isotopes.

4. Calculate the percent abundance of a specific isotope
            given the average atomic mass and percent abundances
            for the remaining isotopes.

5. Describe the operation of a mass spectrometer

6. Interpret a mass spectrum and determine
      percentages for each isotope and the average mass percetage for
      the species.

Mass spectrometry
 


Homework Problems

8.1 First time chemistry students often confuse isotopic concepts with atomic charge and ion formation.  How would you describe these two important ideas?

8.2   In your own words describe how two isotopes of the same neutral element are the same and different.

8.3  Nitrogen-14 has a mass of 14.003074 amu and is 99.63 percent abundant.  Nigrogen-15 has a mass of 15.000108 amu and is 0.37% abundant
       Calculate nitrogen's average atomic mass and compare it to the value found on the periodic table

8.4  Silicon has three isotopes: Si-28   27.976927 amu   92.23%,       Si-29     28.976495 aum    4.67%    and Si-30    29.973770 amu    3.10%.
       Calculate the average atomic mass for silicon.

8.5  Copper occurs naturally as Cu-63 and Cu-65. Use your periodic table to identify the isotope that is more abundant. Explain your answer.

8.6   Rubidium has two naturally occuring isotopes:    Rb-85 (84.9118 amu)   is 72.15 % abundant. 
        Use information from the periodic table to determine the mass in amu for Rb-87.

8.7   Bromine exists in two isotopic forms:  Br-81  (80.9163 amu 49.31 %)   and Br-79.  Calculate the mass and abundance of Br-79.

8.8   Examine the mass spectrum available here.  Determine the total intensity of all mass peaks.

8.9   Use the individual mass peaks and the total intensity calculated in 8.8 to determine percent abundance for each isotope.

8.10  Use the percent abundances from 8.9 and the mass values given on the graph's X-axis to determine the average mass for this species.

8.11  How do the paths taken by  heavy isotopes compare to lower mass isotopes in the mass spectrometer described above?

Click and drag below for answers:

8.1  Both isotopes and atomic charge are similar in that they depend on the the numbers of subatomic particles.  However, the identities of the particles are
       different.  For isotopes, the number of protons stay the same while the number of neutrons are different for a specific element.  For atomic charge
       it's the number of postitively charged protons and how they compare to the numbers of negatively charged electrons.  If the proton (+) number is
       greater than the electron number (-), then the atom is an ion that has a positive charge equal to the difference (a.k.a. a cation).
       If electrons outnumber protons, the atom is an anion with negative charge equal to the difference.
8.2  The numbers of protons will be the same (i.e. the same element).  However, different isotopes of the same element will be different in number.
8.3   14.007 amu (same as found on the periodic table)
8.4   28.086 amu
8.5   Since the average atomic mass of a copper atom is 63.55 amu, the Cu-63 must be present in greater abundance since the average is closer to 62 amu.
        Had the average atomic mass for a copper atom been 64 amu, both isotopes would be present in equal amounts (50% abundances)
8.6   86.9161 amu
8.7   78.9114 amu
8.8    8   +   5   +   1   =   14 units
8.9    57.1429 %     35.7143 %           7.1429 % 
8.10  98.9312 amu (not worried about the exact number of SF here as the error ranges from the graph are not known)
8.11  Heavier ions of the same element (isotopes) are not curved as much (broader curve) as low mass ions (tighter curve)
         The difference in curve behaviour makes it possible for us to separate and detect relative numbers of isotopic ions.


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Friday January 19, 2024    Day 9
Atomic Moles
Textbook Readings:

2.9: Molar Mass Counting Atoms by Weighing


Course Lectures

3.1  pdf  Video*   Introduction to the mole
Introduction to Moles Part 1
(Jelly Beans and Donuts)
 

Introduction to Moles Part 2
(Conversions)




Objectives

1. Compare the mole (6.022 x 1023) with  dozen (12)   Score (20)   Gross (144)   Ream (500)
2. Define and determine the molar mass of any element using your periodic table.
3. Convert grams of an element into moles of an element using the molar mass
4. Convert moles of atoms into individual atoms using Avagadro's number
5. Convert grams of an element into atoms.

Homework Problems

9.1. One banana weights 148.5 grams.  Answer the following questions:
     a. How many bananas are in one dozen bananas?  How many bananas are there in 1 mole bananas?
     b. How much will 1 dozen bananas weigh?    How much will 1 mole of bananas weigh?
     c.  What is the molar mass of bananas?
     d.  What is the mass of 1/4 mole of bananas?

9.2. Use your periodic table to answer the following questions:
     a. How many iron atoms are there in 1 mole of iron?
     b. What is the molar mass of iron?
     c.  How much does one mole of iron weigh?
     d.  How much does one individual iron atom weigh?

9.3 Use your periodic table to find the molar masses of the following elements
      (Report ALL digits ...
Never round molar masses from the periodic table)

                        a.  mercury                  b. cadmium                   c potassium                    
                        d. neon                          e. lead                           f. calcium

9.4  Use the information gathered from 9.3 to determine for each of the following whether
        the amount is greater than, less than or equal to one mole of the substance.

                        a. 200.59 g mercury     b. 1.05 x 10-3 g cadmium       c. 4.55 x 105 g potassium     
                       
d. 6.66 kg neon              e. 0.30455 kg lead                  f.  0.0408 kg  calcium  
       
9.5   Use information from your periodic table to convert each of the following into moles
        with the correct number of SF.

                        a. 200.59 g mercury     b. 1.05 x 10-3 g cadmium       c. 4.55 x 105 g potassium     
                        d. 6.66 kg neon              e. 0.30455 kg lead                  f.  0.0408 kg  calcium
 
       
9.6   How many individual atoms would be found in each of the following samples?

                        a. 3.50 mol carbon          b. 2.5 x 10-2 mol tin              c. 1000. mol chromium         
                        d. 0.000335 mol zinc       e.   5.55 x 10-10 mol manganese


9.7   Use information from your periodic table to convert each of the following into
        grams with the correct number of SF.

                        a. 3.50 mol carbon          b. 2.50 x 10-2 mol tin              c. 1000. mol chromium         
                        d. 0.000335 mol zinc       e.   5.55 x 10-10 mol manganese

9.8    How many moles are there for each of the following atom samples?
                       a. 6.022 x 1023 aresenic atoms      b. 6.66 x 1028 copper atoms      
                       c. 9.05 x 1014 oxygen atoms           d. 1505 silver atoms                  e. 1 gold atom

9.9    Use your periodic table and results from 9.6 to determine the mass (grams) for
each of the following:

                      a. 6.022 x 1023 aresenic atoms        b. 6.66 x 1028 copper atoms      
                      c. 9.05 x 1014 oxygen atoms           d. 1505 silver atoms                  e. 1 gold atom

Click and drag below for answers...

9.1      a.  12 bananas      6.022 x 1023 bananas            b. 1782 g  ... 8.943 x 1025 g  
           c.  
8.943 x 1025 g/mol                  d.   2.236 x 1025 g

9.2      a.
6.022 x 1023  iron atoms     b. 55.85 g/mol     c. 55.85 g    
           d.   55.85 g /
6.022 x 1023      =      9.274 x 10-23 g

9.3       a. 200.59 g/mol                  b. 112.41 g/mol              c. 39.10 g/mol  
            d. 20.18 g/mol                    e. 207.2 g/mol                f. 40.08 g/mol

9.4      a. equal to                             b. less than                      c. greater than   
           d. greater than                     e. greater than                f. equal to

9.5     a.  1.0000 mol                        b. 9.34 x 10-6 moles      c. 11,600 moles
          d.  330. moles                        e. 1.4698 moles             f. 1.02 moles

9.6     a.  2.11 x 1024 atoms              b. 1.5 x 1022 atoms             c. 6.022 x 1026 atoms
           c. 2.02 x 1020 atoms              d. 3.34 x 1014 atoms
           
9.7     a. 42.0 grams                          b. 2.97 grams                c. 5.20 x 104 grams
          d. 2.19 x 10-2 grams               e. 3.05 x 10-8 grams

9.8      a. 1.000  molAs                    b. 111000 molCu   (1.11 x 105   molCu)
           c. 1.50 x 10-9 mol O             d. 2.499 x 10-21 molAg     e. 1.664 x 10-24 molAu

9.9      a. 74.92 gAs                         b. 7.03 x 105 gCu             
           c. 2.40 x 10-8 g O                 d.   2.696 x 10-19 gAg 
       e. 3.271 x 10-22 gAu



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