When dealing with large quantities of something, it is often convenient to defin

Question

When dealing with large quantities of something, it is often convenient to define a term that refers to a certain quantity. For example, a dozen of anything is 12. If I buy 3 dozen doughnuts, I have purchased 3*12=36 doughnuts. In dealing with large quantities of molecules, the term mole refers to 6.022×1023 molecules. This number is referred to as Avogadro's Number. Suppose you have 2.26 moles of a certain type of molecule. How many molecules do you have? Using the idea of a dozen as an example again, if you have 2 dozen blocks and their total mass is 48 kg, the mass of one block would be 2.0 kg. Suppose you have a sample of 3.09 moles of a certain type of molecule and the total mass is 64.6 g. What is the mass of a single molecule?

Explanation / Answer

1) Using:

no. of molecule = 6.022*10^23 * 2.26 = 1.36*10^24 molecule

2) no. of molecules = 6.022*10^23*3.09 = 1.86*10^24 molecules

Mass of 1 = Mass/ No. = 64.6/1.86*10^24 = 3.47*10^-23 g

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