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# A Mole of Paper Clips

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## Ashley Wagnblas

on 29 October 2014

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#### Transcript of A Mole of Paper Clips

A Mole of Paper Clips
A mole of paper clips is exactly 602,000,000,000,000,000,000,000 paper clips, but how can we put this into perspective?
How many chains
could we make with one mole of paper clips?
A mole of paper clips is 6.02*10 paper clips
There are 1.34877192982*10 paper clips in a chain.
(6.02*10 ) / (1.34877192982*10 ) = amount of chains you can make with 1 mole of paperclips
(6.02*10 ) / (1.34877192982*10 ) = 4.46331945891*10 chains
With a mole of paper clips, we could create 4.46331945891*10 chains reaching from the Earth’s surface to the surface of the Moon.

How many moles of
paper clips do we manufacture in one year?
Manufacturers put out about 9kg (9,000g) of paper clips
every year. The mass of one paper clip is 1g. Therefore, manufacturers put out about 9,000 paper clips every year.
A mole of paper clips is 6.02*10 paper clips
9*10 paper clips are produced every year
(9*10 ) / (6.02*10 ) = percentage of a mole that is produced annually in paper clips
(9*10 ) / (6.02*10 ) = 1.4950166113*10 %
1.4950166113*10 % of a mole of paper clips is
produced annually.

How many years
would it take to manufacture a mole of paper clips?

9*10 paper clips are produced every year.
A mole of paper clips is 6.02*10 paper clips
(6.02*10 ) / (9*10 ) = amount of years it would take to manufacture a mole of paper clips
(6.02*10 ) / (9*10 ) = 0.66888888888*10 = 6.68*10 years
It would take 6.68*10 years of manufacturing the same amount of paper clips that we do now to manufacture a mole of paper clips.
of paper clips, how long
would it take to make a chain with every single one?
Assuming you do not accidentally miss the wire where you are supposed to clip, each time you link two paper clips together, it takes about 1 second. Therefore, if a person had a mole of paper clips that they could link together, it would take about 6.02*10 seconds to finish linking every single one. There are 8.64*10 seconds in a day. Therefore, it would take (6.02*10 )*(8.64*10 ) = 52.0128*10 =
5.20128*10 days to finish.
How many moles
of paper clips would it take to make a chain from the surface of the Earth to the moon?
Distance from Earth to Moon:
384,400 km or 3.844*10
100000 cm in a km or 10
3.844*10 centimeters from the Earth to the Moon
A paper clip is about 3 centimeters long
When you make a chain, some of the length of the paper clips overlap because they are not touching end to end but are linked. Every time you make a connection between two paper clips, the length of the chain becomes about 0.15 millimeters shorter.
An equation for this (if x equals number of
paper clips and y equals length) is:
y=3x-(0.15x)
Therefore, the average length of a clipped
paper clip is 2.85 cm
How big is A Mole of Paper Clips?
How many moles of paper clips would it take to make a chain from the surface of the Earth to the moon?

How many chains could we make with one mole of paper clips?

How many moles of paper clips do we manufacture in one year?

How many years would it take to manufacture a mole of paper clips?

If we had a mole of paper clips, how long would it take to make a chain with every single one?
My Essential Questions:
(3.844*10 ) / 2.85 = 1348771929.82 paper clips
1348771929.82 paper clips =
1.34877192982*10 paper clips
A mole of paper clips is 6.02*10 paper clips, so
(1.34877192982*10 ) / (6.02*10 ) =
the percent of a mole of paper clips that the Earth-Moon chain is. Therefore,
(1.34877192982*10 ) / (6.02*10 ) = 0.22404849332*10
= 2.2404849332*10 %
2.2404849332*10 % of a mole would create a paper clip chain to reach from the surface of the Earth to the surface of the moon.

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There are 365.25 days in a year.

5.20128*10 / 3.6525*10 = 1.42403285421*10