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Chapter 1: Stoichoimetry

 
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PostPosted: Wed Jun 16, 2010 10:04 am    Post subject: Chapter 1: Stoichoimetry Reply with quote

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PostPosted: Thu Jun 17, 2010 2:29 pm    Post subject: Reply with quote

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Vitamin C problem, mg and grams

While I was reviewing Gen. Chem chap 1, an example was used to further examine the concept on the percent mass composition on page Chm-06:

Upon burning 4.0 mg sample of pure vitamin C yields the following:

6.0 mg CO2
1.632 mg H2O

then it asks to find the amount of C in this 6.0 mg of CO2

Given that the molecular weight of CO2 is 44 g/mol, the amount of C found in CO2 would be 12/44 (the units are g/mol)

Since we're given 6 mg of CO2, wouldn't it be appropriate to convert mg --> g (gram) before further calculations to keep the units?

The text however seems to ignore this step and the answer remains in mg. I was wondering was this a typo? or did the gram got canceled between 12 g/mol for C/22 g/mol CO2 and therefore we're left with mg?

If I had converted the mg to g before I continue my calculations, I would wind up with 0.00163g instead of 1.636mg

please clarify this for me.

Thank you.



You may want to take another peek at page 55 in the GS textbook which discusses the importance of Dimensional Analysis (keeping an eye on the units; Part II, section 2.3 #16).

Using DA, we can answer "yes" to your question: "did the gram got canceled between 12 g/mol for C / 22 g/mol CO2 and therefore we're left with mg?"

And because of this, it is not necessary to convert to g (after all, you would have to convert back to mg as soon as you finish a less comfortable calculation).
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