A "molecules to moles" chemistry word problem?

A sample of pure acetic acid, CH3COOH, contains 1.40x10^23 carbon atoms. How many moles of acetic acid are in the sample?

I know this far:

NA=6.02x10^23; N=1.40x10^23; n=(N)(NA)

=(1.40x10^23)/2 carbon atoms

=7x10^22

Comments

  • each molecule has 2 C atoms

    => there are 0.7 x 10^23 CH3COOH molecules

    No of moles = .7x10^23/6.023x10^23 = .116 (approx)

  • The way to discover the answer is that:

    Number of moles (mol) = mass (g) / molar mass(g/mol)

    If later questions ask you to discover the concentration (molarity):

    Molarity (mol/L) = number of moles (mol) / volume (L)

    What you have so far is the number of atoms in ONE mole. You need to use the above equations in combination with what else you know about the sample (volume, weight, etc.) to be able to figure out the number of moles.

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