Question

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

Answer 1

Taking into account the definition of Avogadro's number, 0.116 moles of acetic acid are in the sample.

Avogadro's Number

Avogadro's Number or Avogadro's Constant is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.

Amount of moles of acetic acid that contains 1.40×10²³ carbon atoms

Then you can apply the following rule of three: if 6.023×10²³ atoms are contained in 1 mole of carbon, then 1.40×10²³ atoms are contained in how many moles of carbon?

amount of moles of carbon= (1.40×10²³ atoms × 1 mole)÷ 6.023×10²³ atoms

amount of moles of carbon= 0.232 moles

So, the amount of moles of carbon in acetic acid that contains 1.40×10²³ carbon atoms is 0.232 moles.

On the other side, the small subscripts placed to the right of some symbol indicate the number of moles of the element that are found in the compound.

So, in pure acetic acid, CH₃COOH, are present 2 moles of carbon in 1 mole of acetic acid.

Then you can apply the following rule of three: if 2 moles of carbon are present in 1 mole of acetic acid, then 0.232 moles of carbon are contained in how many moles of acetic acid?

$amount of moles of acetic acid=\frac{0.232 moles of carbonx1 mole of acetic acid}{2 moles of carbon}$

amount of moles of acetic acid= 0.116 moles

In summary, 0.116 moles of acetic acid are in the sample.

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