How do i solve this problem?

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Methane has a constant composition of 25% hydrogen and 75% carbon. Using a value of 12 amu for a carbon atom and assuming that methane contains 2 hydrogen atoms and 1 carbon atom, determine the relative mass of a hydrogen atom.

Sep 23rd, 2015

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This methane molecule has 2 hydrogens and 1 carbon. The carbon is 12 amu, and the problem tells us that methane as a whole is 75% carbon. We can use this information to find the mass of the WHOLE methane molecule. 

(0.75)(x) = 12 amu

x = 16 amu

Now that we know the whole methane molecule is 16 amu, how much of that is made of hydrogens? 16 amu - 12 amu = 4 amu. 

4 amu is all hydrogens. How many hydrogens are there? There are 2. So what is the mass of EACH hydrogen? 4 amu / 2 = 2 amu. There you go!

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 23rd, 2015

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