Creating a New Unit: PCU
Objective:
To devise a new counting unit, use it
in calculations, and compare it to the use of a mole.
Part 1:
Procedure:
1. Weigh out 5.0 grams of popcorn
kernels on the scale. (Remember to zero out the cup you are measuring them
in!). Count the number of kernels there
are in 5.0 grams. This number will be
called “1 PCU” (1 popcorn counting
unit)
Data:
1. Complete
the following equation in your data record:
1 PCU = ____kernels = 5.0 g of kernels
2. Show how you would calculate
the number of kernels in 3 PCUs: (Remember to follow your steps, what you know,
looking, rid of and the data above)
3. Show how you would
calculate the number of kernels in 20.0 grams of popcorn:
4. Show how you would
calculate the mass, in grams, of 100 popcorn kernels:
5. Complete
the table:
Number
of popcorn kernels
|
Number
of PCUs
|
Mass of
popcorn
kernels
(g)
|
|
10
|
|
|
500
|
|
|
|
10.0
|
|
|
650.0
|
498
|
|
|
7,000
|
|
|
Part 2:
Procedure:
1. Use the balance to
find the mass, in grams, of the container of popcorn kernels.
Data:
1. What is the mass of the
popcorn kernels in the container?
2. Use the mass of the
popcorn bag and your PCU to determine how many kernels are in the bag. Show
your work here, and record your answer on the class data table at the front of
the room. Label with your group number.
3. Based on the class data
table, what is the average number of kernels in the popcorn bag?
4. How close to the class average number is the number
you found?
5. Explain what could account
for the different numbers of kernels calculated by each student.
Part 3:
Pre-Questions:
1. How many popcorn kernels
have you determined to be equal to 1 PCU? If you were counting out 1 PCU of
marbles, how many marbles would you count out? If you were counting out 1 PCU
of each type of bean, how many of each would you count out?
Procedure:
1. Count out 1 PCU of pinto
beans. This will be the number of pinto beans equal to the number of kernels in
one PCU. Use a balance to determine the mass of 1 PCU of pinto beans and record
in the table below.
2. Count out a PCU for yellow
lentils, black beans, kidney beans, and peas. Record the data in the table
below.
Data:
Type of particle
|
Number of particles in PCU
|
Mass of 1 PCU (g)
|
Pinto bean
|
|
|
Yellow lentil
|
|
|
Black bean
|
|
|
Kidney beans
|
|
|
Peas
|
|
|
1. Is the number of kidney
beans in 1 PCU more than, less than, or equal to the number of black beans in 1
PCU?
2. How does the mass of 1 PCU
of kidney beans compare to the mass of 1 PCU of black beans? Why is the mass
different between the PCU of kidney and black beans?
3. Would 5.0 grams of kidney
beans be more than, less than, or equal to the mass of 1 PCU of kidney beans?
Would 10.5 grams of peas be more than, less than, or equal to the mass of 1 PCU
of peas?
4. Why is a mole a better
unit than a PCU for counting atoms?
5. How many particles are in
a mole?
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