Friday, July 24, 2015

Calculate the mass of 2,000,000,000,000,000,000,000,000 molecules of aspirin.

Aspirin has a chemical formula of C9H8O4. We can calculate its molar mass by accounting for all the atoms of different elements that are there. In other words,


Molar mass of aspirin = number of carbon atoms x atomic mass of carbon + number of hydrogen atoms x atomic mas of hydrogen + number of oxygen atoms x atomic mass of oxygen 


= 9 x 12 + 8 x 1 + 4 x 16 = 180 g.


A mole of a substance has an Avogadro's number of molecules, which is equal to 6.023 x 10^23 molecules.


In this case, we have 2,000,000,000,000,000,000,000,000 molecules or 2 x 10^24 molecules. 


Thus, the moles of aspirin are:


moles = number of molecules / Avogadro's number 


= 2 x 10^24 / (6.023 x 10^23) = 3.321 moles.


Since the molar mass is 180 g, the given number of molecules will be contained in


3.321 moles x 180 g/mole = 597.8 g.


Thus, 597.8 g of aspirin will contain the given number of molecules.


Hope this helps. 

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