Liz B.

asked • 01/26/21

Convert gram to number of atoms

I used 0.2 g of CaCO3, I need to convert the used amount into number of atoms.


Since I need to show my conversion factors but using diagonal analysis, not sure if this is correct.


0.2 CaCO3 x 1mol CaCO3 / 100.09 g CaCO3 x

6.02x10^23 molecules CaCO3 / 1mol CaCO3 x3

5 atoms / 1 molecule CaCO2


I got 6.017 x 10^21 atoms with sig fig, I think it should be round to the unit place?


6 x 10^21 atoms?








1 Expert Answer

By:

Liz B.

Sorry, I think i have typo. My original should be: 0.2g CaCO3 x 1 mol CaCO3 / 100.09g CaCO3 x 6.02x10^23 molecules CaCO3 / 1 mol CaCO3 x 5 atoms / 1 molecules CaCO3 The question is just says find the "total number of atoms" used. Based on 0.2g CaCO3 is used. When I multiply and divide, I still got 0.06015 x 10^23 So 6.015 x 10^21 I can't get the same as yours.
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01/26/21

Liz B.

Oh, sorry, I understand your answer if up to finding the number of molecules of CaCO3. I still need to find the "total number of atoms" used. So I need to convert your answer in moleucles to atoms. So your answer 1.2 x 10^21 molecules of CaCO3 multiply 5 atoms / 1 molecule CaCO3 to get total number of atoms, and if my original answer is correct?
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01/26/21

Robert S.

tutor
Hi, Liz, Yes, you multiply my answer by 5 to get the number of atoms. That comes to 6.01x10^21 atoms.
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01/27/21

Liz B.

Thank you so much. Is my answer suppose to round to 1 sig fig or 3?
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01/27/21

Liz B.

When I multiply and divide the conversion factors like the 6.02 x 10^23....Should I ignore the conversion factor when rounding sig fig? Let's say my original weight of the substance used is 0.2 g, my answer round to 1 sig fig? What if my original used amount is 0.21212g and my molar mass of CaCO3 round to 100.1g, my answer will be rounded to 4 sig fig? Does the molar mass conversion factor take into consideration? How about calculating the molar mass, when I have 1 mol of Ca at 40.08g, 1 mol of C at 12.011 g.... when I "add" all the mass together, should I round the molar mass to the lease precise value which is the hundredths?
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01/27/21

Robert S.

tutor
You can ignore sig figs during the calculations, as long as you keep at least as many sig figs in each step. But it is OK, and good, to leave extra sig figs while calculating and round off at the conclusion of the calcs. Yes, 0.2 g is 1 sig fig. 0.200 would be three sig figs. It is painful to do a detailed calculation that includes the number 12 (2 sig figs) and wind up with 23.45456334 and then report just only 23 when you were so meticulous, but that's the game. The molar mass is accurate to however many decimal points you kept in the calculation. If I see that I'm limited to 1 sig fig, then I'll round the atomic masses to 2 sig figs, just to be safe. You can round to 1 at the end of the calculations, but I use more than 1 sig fig (2 is fine) before that. Since you have 5 sig figs in the mass of C, you should use 5 sig figs in all of the conversion factors, including when you are adding the masses to determine the molar mass. You can use more than 5 and wait until the end to round, if you'd like. - Bob
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01/27/21

Liz B.

Hi Bob, Thank you so much for your help. The more I read, I'm getting confused again. For the same question, convert the 0.20 g of CaCO3 that I used to number of atoms. Some books or tutors told me this: 0.20 g CaCo3 x 1 mol CaCO3 / 100.09 g CaCO3 x 6.02 x 10^23 atoms / 1 mol CaCo3. Which is 1.2 x 10^25 atoms. My text book has this example: How many atoms are in 2.12 mol of C3H8? 2.12mol C3H8 x 6.02x10^23 molecules C3H8/1 mol C3H8 x 11atoms/1molecules C3H8 =1.40 x 10^25 atoms That's why when I convert 0,20g of CaCo3 to atoms, I convert it to moles , then to molecules, then atoms. (just like the previous post) I'm getting confused which is correct and when I can convert a compound from gram ---> moles ---> atoms by multiply 6,02x10^23 atoms/1mol And if converting a compound from grams ---> moles--> molecules-->atoms is correct? If so, how to determine when I need an extra step to convert to molecules then to atoms? Thank you for your help!
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01/27/21

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