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

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Discussion Overview

The discussion revolves around calculating the mass of oxygen in 250g of calcium carbonate (CaCO3). Participants explore different methods and reasoning related to the composition of CaCO3, addressing the contributions of calcium and carbon alongside oxygen.

Discussion Character

  • Homework-related
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant initially calculates the mass of oxygen as 83g by dividing the total mass of CaCO3 by the number of oxygen atoms, questioning if this approach is correct.
  • Another participant points out that the total mass of CaCO3 includes calcium and carbon, implying that the mass of oxygen cannot simply be derived from the method used in the initial calculation.
  • A later response suggests that the correct mass of oxygen is 119.9g, proposing two methods for this calculation: one using a mass fraction and the other using moles of oxygen derived from moles of CaCO3.
  • Participants discuss the concept of mass fractions and ratios, emphasizing that the fraction of oxygen in CaCO3 remains constant regardless of the amount of the compound.
  • There is an acknowledgment of the initial calculation's faultiness, with a participant expressing understanding of the correct approach after further explanation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the initial calculation method, with some agreeing that it is incorrect while others explore alternative methods to arrive at a different mass of oxygen. The discussion remains unresolved regarding the validity of the original approach versus the proposed methods.

Contextual Notes

Participants highlight the importance of considering the entire composition of CaCO3 when calculating the mass of a specific element, indicating that assumptions about the contributions of different atoms must be clearly defined.

Sace Ver
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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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