Wednesday, December 1, 2010

pEnNiUm

Introduction:  Almost all elements consist of mixtures of two or more naturally occurring isotopes or atoms of an element that vary because they have different mass numbers  and numbers of neutrons.  The different isotopes of an element have a different relative atomic masses due to the different number of neutrons in the nucleus. 

Throughout this lab you are going to pretend that you have an element called "Pennium".  You'll be given a bag of Pennium atoms.  Through comparing the masses of the "penny atoms" you will see how many different Pennium isotopes are in the bag.  You will then determine the average atomic mass of Pennium isotopes using the following equation:  (average mass of isotope 1)(percent abundance of isotope1)+(average mass of isotope 2)(percent abundance of isotope 2).  Now, you will choose another element (Fivecentium) to be accepted as the mass standard to which mass of Pennium, Dimeium, Quarterium, and Halfdollarium.  All relative masses will be expressed in CMU (Coin Mass Units)

Objective: You will investigate the concept of atomic mass and how it was derived.  You will develop your own unit of measure, the CMU, and use it to measure the relative masses of other coins.  At the conclusion of this lab you will be able to explain how scientists developed the system for AMU's (atomic mass units) and how it is applied to determine the relative masses of other atoms of other elements.

Procedures- Part 1: 
1- Obtain a packet of pennies.
2- Sort the pennies into two groups:  pre-1982 and post-1982.
3- Measure the mass (in grass) of each stack of pennies.  Record the mass (in grams) of each stack of pennies in a data table.  Count the number of pennies in each stack.
4- Measure the mass in grams of a half dollar, quarter, nickel, and dime.  Record these values in a data table.
5- Answer the questions below and then continue on with part 2.

Results:     Pre-1982 Pennies        Post-1982 Pennies
Mass:                         42.4g                                27.5g
Number of pennies:   14                                       11
Average mass:         3.03g                                  2.5g
  
Results Cont.:                Nickel       Dime       Quarter
Mass:                                   5g            2.2g           5.1g
Mass in terms of nickel:     1N            .44N         1.02N

Questions- Part 1:
1- Does each penny have the same mass?
*No each penny does not have to same mass.
2- Can you identify two "penny isotopes" based on the masses of the pennies?  Explain?
*Yes!!! Pre-1982 is one isotope while post-1982 is another isotope.
3- What does your data tell you about the relationship between mass of a penny and date of a penny. Make a generalization. 
*Pre-1982 pennies weigh more than the post-1982 pennies.

Procedures- Part 2:
1- Determine the average mass of pre-1982 pennies. (Record average).
*3.03g
2- Determine the average mass of post-1982 pennies. (Record average).
*2.5g
3- Determine the percentage of your pennies that is pre-1982 and the percentage that is post-1982.  These percents should add up to 100%.  What you have calculated is the percent abundance of each group of pennies (penny isotope).
*post- 44%  pre- 56%
4- Let's choose one of your coins to make a CMU (coin mass unit).  Let's say that the mass of a nickel (Fivecentium) is one CMU.  Use the mass of a nickel to calculate the mass of a half dollar (Halfdollium), quarter (Quarterium), dime (Dimeium), pre-1982 pennies (Pre-82 Pennium), post-1982 (Post-82 Pennium).  Again, show all calculations, and record all data in a data table.
5- Determine the average mass of a Pennium in CMU's using the percent abundance (from #3) of each pennium isotope (pre-82 and posst-82) and the mass of each pennium isotpope in CMU's (from #4).
*(3.03x.56)+(2.5x.44)=2.8

Questions AND Conclusions:
1- Make a statement about the average penny mass of pre-1982, post-1982, and pennies in te packet. 
*New pennies, or post-1982 pennies, have more mass or are more massive than the pre-1982 pennies.
2- Explain how you derives the unit CMU. 
*We used the formula given to us in the introduction. (3.03x.56)+(2.5x.44)=2.8
3- Using the idea you explained in #2 above, how did scientists obtain the Atomic Mass Unit (AMU) to measure the mass of atoms of different elements?
*They used atomic mass average base to help find all of the elements' atomic masses.
4- What is your weight in CMU's? (Remember 1lb=2.205Kg),
*.00635lb
5- Write a statement that compares what you did in this lab to what scientists have done to find the average atomic masses of the elements.
*Scientist have used the same method with Hydrogen as the smallest form of measurement to help find the atomic masses of the rest of the elements.

Candy? Lab? What?

Purpose:
  • To use a Candium model to explain the concept of atomic mass.
  • To analyze the isotopes of Candium and calculate its atomic mass.
Vocabulary:
Atomic Mass: The weighted average of the masses of the isotopes of an element.
Isotope: Atoms that have the same number of protons, but a different number of  neutrons.
Percent Abundance: The percentage of each type of isotope that exists in a given sample of an element. 
Relative Abundance: The number of organisms of a particular kind as a percentage of the total number of organisms of a given area or community. Example: The number of birds of a particular species as a percentage of the total bird population of a given area.
Average Mass: Mass of all added together, and divide by how many there are.
Example: 4, 3, 2, 7. Add all together- 4+3+2+7= 16. Divide by how many there are- 16/4= 4. Average Mass= 4.
Relative Mass: It is the ratio of the average mass of a molecule (or formula unit) to the twelfth of the mass of one atom of Carbon-12.

Materials:
  • Sample of Candium ( Gob Stoppers, Sixlets, M&M, Skittles )
  • Balance
  • An open mind!
Procedure:
  1. Obtain sample of Candium
  2. Separate it into its 3 isotopes
  3. Determine the total mass of each isotope
  4. count the numbers of each isotope
  5. Record data and calculations in the data table careate a data table that has the following:
               1. Average Mass of each Isotope
               2. Percent abundance of each isotope
               3. Relative abundance of each isotope
               4. Average Mass of all isotopes
   Make a data table, it should have five colums and seven rows.


Our Data Table
                  Gob Stoppers          Sixlets          M&M's          Skittle's
Average Mass: 1.815 g               .888 g           .936 g             1.01 g
Percent Abundance: 37.1%                 24.1%          27.7%             11.1%
Relative Abundance: 6                         16                 13                  22
Relative Mass:  2.004 g                    1 g              1.05 g           1.14 g
Average Mass: .567 g                   .567 g          .567 g            .567 g
(of all isotopes)



Discussion
During the lab we calculated Atomic mass, and used a Triple Beam balance.

(For definition of Isotope, look up at Vocabulary)Explain the difference between Percent abundance and Relative Abundance...
Percent Abundance deals with the percent of the isotope that is in a sample of an element; Whereas Relative Abundance deals with the number of stuff in each Isotope.

Comparing the total values of average mass between relative mass:

The Relative mass has to do with the Isotope itself, whereas the Average mass deals with all the isotopes. 

ConclusionThis Lab was really good in seeing the Atomic Mass of Isotopes. Hopefully you gained an understanding for the material, and had fun like we did!