1 mol of paper - how much is that?

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SUMMARY

The discussion centers on calculating the mass of paper derived from 1 mole of cellulose, which is represented by the chemical formula C6H10O5. It is established that 1 mole of pure Carbon-12 atoms weighs 12 grams, and assuming paper is made entirely of cellulose, 1 mole of cellulose molecules weighs approximately 168 grams. When accounting for the molecular structure, the effective weight of paper derived from individual atoms is about 8 grams, which is roughly equivalent to 1.6 A4 sheets, each weighing about 5 grams. The discussion emphasizes the theoretical nature of these calculations due to the composite nature of actual paper.

PREREQUISITES
  • Understanding of the mole concept in chemistry
  • Basic knowledge of chemical formulas, specifically C6H10O5 for cellulose
  • Familiarity with atomic weights, particularly Carbon-12
  • Knowledge of paper composition and its properties
NEXT STEPS
  • Research the molecular composition of various types of paper
  • Learn about the properties of cellulose and its role in paper production
  • Explore the concept of polymers and their molecular weights
  • Investigate the practical applications of mole calculations in material science
USEFUL FOR

Chemistry students, material scientists, and anyone interested in the theoretical calculations of mass and composition related to paper and cellulose.

ecet
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My question is a bit chemically, but...
What's the atoms, what's makes the paper?
How many paper i get from 1 mol of atoms, what contains the paper?
How many grams, or pieces of A/4 size papers?
 
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Hi ecet. Welcome to PF.

Let's start with the mole (not 'mol'). Can you tell us what is your understanding of its definition? What does a 1 mole of something mean?
 
In order to know the mass of 1 mole of paper you first have to know the chemical composition of paper. Paper is a composite of various materials so it would be difficult to calculate.
 
Bandersnatch said:
Hi ecet. Welcome to PF.

Let's start with the mole (not 'mol'). Can you tell us what is your understanding of its definition? What does a 1 mole of something mean?

Oh, sorry, I'm from Hungary, and there it's mol, and I haven't read this word in Englis, so, yes, 1 mole of paper.
I meant, that how many paper can I get from 6x10^23 pieces of atoms? I know, it contains a lot's of type of atoms, maybe carbon, oxigen, hydrogen, ect...
If it were known (for me), that what types of atoms paper made of, and how many is the ratio of each other, than I maybe can calculate, that how much of the mass of the atoms, what I "use to build some paper from them".
I know, it's not a practical usefulness, but I've thinked about that, it's just theoretical :)
 
It's called 'mole' in English, but the SI unit symbol is 'mol', so it's easy to get confused. It's of little importance though.

O.k. So, you know that the mole is an amount of something.
In any definition of the mole you'll see that 1 mole of pure Carbon-12 atoms weights 12 grams (or, equivalently, 1 mole is as many entities as in 12g of C-12).
If we assume that paper is made 100% of cellulose (to make it simple), which in turn is made of carbon, hydrogen and oxygen: C6H10O5. That's 21 atoms per molecule, altogether weighing roughly the same as 14 Carbon-12 atoms.

So, if you were to ask 'how much paper I'd get from a mole of cellulose molecules', that'd be about 14*12=168 grams. If you were to ask how 'much paper from individual atoms, in appropriate proportions to make cellulose' that'd be 21 times less (since it's 21 atoms per molecule): 168/21=8 grams.

For comparison, a typical A4 sheet weighs about 5 grams.

These are rough numbers, since paper is not 100% cellulose, and its molecular weight in not exactly the same as 14 C-12 atoms, but the difference shouldn't be much.
If you care for more precision you can just research more exact composition and follow the same line of thinking.
 
An added difficulty is that cellulose is a polymer with each molecule averaging 1000 or so monomer units. This would increase the weight of a mole of paper by 1000 over that stated above.
 
Bandersnatch said:
It's called 'mole' in English, but the SI unit symbol is 'mol', so it's easy to get confused. It's of little importance though.

O.k. So, you know that the mole is an amount of something.
In any definition of the mole you'll see that 1 mole of pure Carbon-12 atoms weights 12 grams (or, equivalently, 1 mole is as many entities as in 12g of C-12).
If we assume that paper is made 100% of cellulose (to make it simple), which in turn is made of carbon, hydrogen and oxygen: C6H10O5. That's 21 atoms per molecule, altogether weighing roughly the same as 14 Carbon-12 atoms.

So, if you were to ask 'how much paper I'd get from a mole of cellulose molecules', that'd be about 14*12=168 grams. If you were to ask how 'much paper from individual atoms, in appropriate proportions to make cellulose' that'd be 21 times less (since it's 21 atoms per molecule): 168/21=8 grams.

For comparison, a typical A4 sheet weighs about 5 grams.

These are rough numbers, since paper is not 100% cellulose, and its molecular weight in not exactly the same as 14 C-12 atoms, but the difference shouldn't be much.
If you care for more precision you can just research more exact composition and follow the same line of thinking.

Based on your details, I tried to calculate the same way, and it's around your result: 7,7179... grams, what's around your result.
 

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