Real conversion one dozen eggs = 12 eggs
Name(s):
Mole analogy = ?????
Period:
In chemistry, the MOLE is the "name for a number," and that's all! The MOLE is a VERY
LARGE number, in fact, it is so large that most people cannot even read it. But here you will
LEARN how to read it and understand its meaning very quickly. It is EASY!
Here is the number:
602,200,000,000,000,000,000,000
The easiest way to remember this number is first to notice how many commas it has. How many
commas DOES it have? Count them.
How to Read Large Numbers
In reading numbers, every 3 digits has a section name. Some section names are hundreds,
thousands, millions and billions. If we have a number such as the one below, for example,
231,000
we read it as "231 thousand," because the "231" is in the "thousands" section.
This next number...
458,000,000
is "458 million," because the "458" is in the "millions" section. We use this same pattern to read
all large numbers in the United States, no matter how big the numbers get. In the United States,
all you need to know is the sequence of section names, which really isn't that hard to remember
after "millions," because the prefixes come from the names for the Latin numbers 1 through 10.
Here is the list of section names with the Latin-derived prefixes written in bold font.
Challenge: To create your own analogy drawing one real conversion of numbers like a
ream of paper = 500 pages. Then, using Avogadro’s number and doing some research,
convert your information to show how it compares to a mole. Read below for more help.
Draw and color your analogy on the back page of this packet.
1
Hundreds
Thousands
Millions
Billions
Trillions
Quadrillions
Quintillions
Sextillions
Septillions
Octillions
Nonillions
2
Decillions
When you display these horizontally, they look like this:
So the number in this example reads "142 decillion." From here, it should be EASY to read the
numerical name for "the mole." Here it is:
So, what is that number? "602 sextillion 200 quintillion." That's it!
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#1
Going off of the statistics from http://www.psychologytoday.com/blog/canine-corner/201209/how-manydogs-are-there-in-the-world there are 523.2 million pet and stray dogs in the following countries. (The
majority of the world)
6.022 * 1023 divided by 523.2 * 105
It would take 115,000,000,000,000,000 dogs to sum up Avogadro's Number.
2:
According to the statistics found
on http://wwf.panda.org/what_we_do/endangered_species/giant_panda/panda/how_many_are_left_in_th
e_wild_population/ , the last full panda census in 2004 concluded there are about 1600 wild pandas alive.
6.022 * 1023 / 1600 = 3.76375 *1020
It would take about 376,374,999,999,999,970,000 pandas to sum up Avogadro's Number.
3:
According to the statistics from http://www.wolf.org/wow/united-states/minnesota/; there are currently
2,211 wolves in Minnesota.
6.022*1023/2,211=2.723*1020 or 272,300,000,000,000,000,000 wolves to sum it up to Avagadro's number.
4:
There are 65 students in a senior class. There would have to be 9,264,832,800,000,000,000,000,000
grades of 65 students to equal Avagadro's number.
5:
The Earths population is about six billion people. In order to equal Avagadro's number, there would
be about 100 trillion Earth populations.
6:
There are 654 people in Elysian Minnesota. In order to equal Avagadros number there has to be
920295107033639000000 people in Elysian Minnesota.
4
Look at the dimensional analysis of converting 1 million second into days
1 million seconds x ___1minute___ x___ 1hour ____ x____1day____= 11.6 days (10 days s.f.)
1
60seconds
60minutes
24 hours
Determine an accurate estimate for the number of Cheerios in a box of Cheerios cereal without
counting each piece. Atoms are so small we need ways of quantifying them without physically
counting each piece. Using an example where 15 Cheerios had an average mass of 3.0 grams
and the box of Cheerios had a mass of 425 grams.
425g Cheerios x 15 Cheerios =2100 Cheerios
1
3.0g Cheerios
It is time to introduce Avogadro’s number and the definition. Determine the number of boxes
required for a mole of Cheerios.
6.02 x 1023 Cheerios x 1 box Cheerios = 2.9 x 1020 boxes of Cheerios
1
2100 Cheerios
Stacked end to end, the boxes containing a mole of Cheerios would reach a distance equal to 7.5
million trips from the Sun to Pluto!
5
3. Pennies Visualization:
Here is a third visualization. "A Mole is a Unit." What if we had a mole of pennies and wanted to
spread the wealth around so that every single man, woman and child on earth gets some. The
population of the world is estimated, as of May, 2010, to be 6,820,200,000. Because of the
simplicity of using the number 6 billion, let's use that and see how much money each living
person would get.
Notice how many more zeros the mole has than the entire population of the world! So if you start with a
penny in the "billions" place, where the "6" is in our world population shown above, and count over place
by place multiplying by 10 each time, until you get to 600 sextillion, you can see that if we had even one
mole of pennies to distribute to everyone on the planet, each person would end up with.....
Well, we would multiply by "10" 14 times! So $0.01 x 10 x 10 = $1.00.
$1.00 x 10 x 10 = $100
$100 x 10 x 10 x 10 = $100,000
$100,000 x 10 x 10 x 10 = $100,000,000
$100,000,000 x 10 x 10 x 10 = $100,000,000,000, which is already $100 billion for each person.
We have already mutiplied the population of the earth by "10" 13 times. One more time will give us....
$100,000,000,000 x 10 = $1,000,000,000,000
So if we had one mole of pennies to distribute around the planet, each man, woman and child would end
up with $ 1 trillion!
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