How many carbon atoms are present in 0.92 moles of C2H6O

First, determine the number of moles of carbon atom in the given quantity of the sample by multiplying the given value by 2.

n = 2 (0.92 moles) = 1.84 moles

Then, multiplying the calculated value of moles by the Avogardro's number to solve for the total number of C atoms.

N = (1.84 moles) (6.022 x 10^23 atoms/mole)

N = 1.108 x 10^24 atoms

We are presented with the molecular formula C₂H₆O. To determine the amount of carbon atoms present, we must first determine how many moles of carbon are present. The question states that there are 0.92 moles of C₂H₆O. However, there are 2 carbon atoms per molecule of this structure, therefore:

0.92 moles C₂H₆O x 2 moles C/1 mole C₂H₆O = 1.84 moles C

There are 1.84 moles of carbon atoms per 0.92 moles of C₂H₆O. Now we must determine the total number of carbon atoms present and we can do this using a value called Avogadro's constant. Avogadro's number is the value designating how many atoms or molecules are present in a mole of that substance. The value of this constant is roughly 6.022 x 10²³ atoms/mole. We can calculate the amount of carbon atoms present as follows:

1.84 moles C x 6.022 x 10²³ atoms/mole = 1.11 x 10²⁴ atoms.

Therefore, there are roughly 1.11 x 10²⁴ carbon atoms in 0.92 moles of C₂H₆O.