Calculating Mass of O in CaCO3: 250g = 83g O

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The discussion centers on calculating the mass of oxygen in 250g of CaCO3, with an initial incorrect assumption that the mass of oxygen could be derived by dividing the total mass by the number of oxygen atoms. The correct calculation involves determining the fraction of the mass that is oxygen, which is approximately 0.4796, leading to a mass of 119.9g of oxygen in 250g of CaCO3. Two methods are presented: one using the mass fraction and the other calculating moles of CaCO3 and multiplying by the number of oxygen atoms per molecule. The participants conclude that the original method was flawed due to misunderstanding the relationship between the total mass and the constituent elements. The final confirmed mass of oxygen in the compound is 119.9g.
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Homework Statement


What would be the mass of oxygen in 2.5 x 102g of CaCO3?

Given:
mCaCO3=250g
M=100.09g/mol
n=2.498mol

Homework Equations


?

3. The Attempt at a Solution

mass of O=250g/3 atoms of O
mass of O=83g

Is that correct?
Bc if it is can someone please explain why it's correct.
 
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Sace Ver said:

Homework Statement


What would be the mass of oxygen in 2.5 x 102g of CaCO3?

Given:
mCaCO3=250g
M=100.09g/mol
n=2.498mol

Homework Equations


?

3. The Attempt at a Solution

mass of O=250g/3 atoms of O
mass of O=83g

Is that correct?
Bc if it is can someone please explain why it's correct.
Remember, 250 g of CaCO3 contains more than just Oxygen. What about the Calcium and the Carbon in the substance? What happened to them?
 
SteamKing said:
Remember, 250 g of CaCO3 contains more than just Oxygen. What about the Calcium and the Carbon in the substance? What happened to them?
So oxygen wouldn't be 83g?
 
Sace Ver said:
So oxygen wouldn't be 83g?
Honestly, what do you think?

You can't divide the mass of a substance by the number of atoms of one constituent to obtain the mass of that constituent if other kinds of atoms are present. That should be understood, whether you're taking chemistry or not.
 
SteamKing said:
Honestly, what do you think?

You can't divide the mass of a substance by the number of atoms of one constituent to obtain the mass of that constituent if other kinds of atoms are present. That should be understood, whether you're taking chemistry or not.
Not to put the blame on others someone showed me how to do it that way which made me confused.

So I'm assuming the final answer is 119.9g of Oxygen.
 
Sace Ver said:
Not to put the blame on others someone showed me how to do it that way which made me confused.

So I'm assuming the final answer is 119.9g of Oxygen.
And how did you arrive at that figure?

Please show your work.
 
SteamKing said:
And how did you arrive at that figure?

Please show your work.

Given:
mCaCO3=250g
MCaCO3=100.09g/mol
nCaCO3=2.498mol

Required:
mO=?

Solution (I tried two methods):

Method #1:

%decimal= 16(3)/100.09g/mol= 0.4796

(0.4796)(250g of CaCO3)= 119.9g of O

Method #2:

250gCaCO3/100.09g/mol=2.498mol

2.498mol x 3 molO = 7.494molO

7.494molO x 16gO = 119.9 g of o
 
Sace Ver said:
Given:
mCaCO3=250g
MCaCO3=100.09g/mol
nCaCO3=2.498mol

Required:
mO=?

Solution (I tried two methods):

Method #1:

%decimal= 16(3)/100.09g/mol= 0.4796

(0.4796)(250g of CaCO3)= 119.9g of O

Method #2:

250gCaCO3/100.09g/mol=2.498mol

2.498mol x 3 molO = 7.494molO

7.494molO x 16gO = 119.9 g of o

Method 1:
0.4796 is the fraction of the mass of CaCO3 which is composed of Oxygen. This fraction remains the same regardless of the how much CaCO3 you are given.

0.4796 is also called the ratio of the mass of Oxygen to the mass of CaCO3.

Now, do you see why your original method of calculation in the OP was faulty?

Method 2:
There are 2.498 mol of CaCO3 in 250 g of the substance. There are 3 atoms (not moles) in each molecule of CaCO3 .

That's why there are 2.498 mol × 3 atoms of O / molecule = 7.494 moles of Oxygen in 250 g of CaCO3
 
SteamKing said:
Method 1:
0.4796 is the fraction of the mass of CaCO3 which is composed of Oxygen. This fraction remains the same regardless of the how much CaCO3 you are given.

0.4796 is also called the ratio of the mass of Oxygen to the mass of CaCO3.

Now, do you see why your original method of calculation in the OP was faulty?

Method 2:
There are 2.498 mol of CaCO3 in 250 g of the substance. There are 3 atoms (not moles) in each molecule of CaCO3 .

That's why there are 2.498 mol × 3 atoms of O / molecule = 7.494 moles of Oxygen in 250 g of CaCO3
I now see why the original calculation was incorrect.
 
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