Transcript Isotope

All about Isotopes
Mrs. Pittaluga – 8th Grade Science
Atom Review
• Atoms – basic building block of matter
– Protons
• Identifies the element (atomic number)
• Positive charge
• Found in the nucleus
– Electrons
• Determine reactivity of the element
• Negative charge
• Found in the electron cloud with relatively no mass
– Neutrons
• No charge
• Found in the nucleus
• Counts for part of the mass of the atom
Changing Particles
If you change the It will affect the…
number of…
And the result
will be a…
Protons
Identity of the atom
A completely different
atom
Electrons
Charge
Ion
Neutrons
Mass
Isotope
Atomic Mass
• The mass of an atom is found entirely in the
nucleus
• Value is given as “amu”, which means atomic
mass units
• Decimal number because it is an AVERAGE of
the all the isotopes of the element
• Isotope is a different version of the same
element
What is an Isotope?
• An atom with the same number of protons and a
different number of neutrons
• Atomic mass will be slightly different between isotopes
due to the change in neutrons
• All elements have isotopes
– Some occur more abundantly than others
– Some occur naturally and some are created in a lab
• Atomic mass is called a “weighted average” to account
for the difference in abundance
Representing Isotopes
• Elements are represented using a chemical
symbol.
– For example: C = carbon; He = helium; Pb = lead
– First letter is always capital and second is lower case
• 2 ways to represent an isotope
– Element name along with the mass number
– Chemical symbol along with the mass number and
atomic number
Some Examples
Element Name
• Carbon-14
– A neutral carbon atom
has 6 protons and 6
neutrons
– Carbon-14 has 6 protons
and 8 neutrons
Chemical Symbol
Calculating Atomic Mass
• What is a weighted average?
– Not calculated the same as a regular average
– Need to know the mass of each isotope
– Need to know the percent abundance
• Percent abundance is how often that particular isotope occurs in a sample of
an element
• The formula:
– (Mass of Isotope #1)(Percent abundance) + (Mass of Isotope
#2)(Percent abundance) + (Mass of Isotope #3)(Percent abundance)
+…
– The percent values should ALWAYS be converted to a decimal first
(i.e. 90% = .90, 74.9% = .749)
Let’s Practice!
• Silver is found to have two stable isotopes, one has an
atomic mass of 106.904 amu and the other mass is
108.905 amu. The first isotope represents 51.82% of the
mass of the element and the second represents 48.18%.
What is the atomic mass of the element silver?
– Using the formula for a weighted average, we simply plug in
the values:
– (106.904 amu)(.5182) + (108.905 amu)(.4818) = ???
• Atomic mass = 107.868 amu
•You can check your answer by checking the periodic table
More Practice
• Calculate the atomic mass of chromium
using the following table:
Isotope
Mass
% Abundance
#1
49.946046
4.35
#2
51.940510
83.79
#3
52.940651
9.50
#4
53.938882
2.36
• Did you get 51.996? Does this answer
match the periodic table?
One More!
How to Solve
• The problem is set up the same way but in place of abundance in the
formula, we are going to us “x”.
–
–
–
–
–
–
–
–
–
–
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Rubidium-85 is calculated as (84.9118 amu)(x)
Rubidium-87 is calculated as (86.9092 amu)(1-x)
Set the whole equation equal to the average atomic mass:
(84.9118 amu)(x) + (86.9092 amu)(1-x) = 85.47
84.9118x + 86.9092 – 86.9092x = 85.47
-1.9974x + 86.9092 = 85.47
-1.9974x = -1.4392
x = .7205
Substitute the value for x into 1-x
Rubidium-85 is 72.05% abundance and Rubidium-87 is 27.95% abundant
Do those abundance values make sense?