Final answer:
To find the number of moles of carbon atoms in 1.8g of ethanol, divide the mass of ethanol by its molar mass to get the moles of ethanol, then multiply by two as each ethanol molecule contains two carbon atoms. The result is 0.07826 moles of carbon atoms.
Step-by-step explanation:
To calculate the number of moles of carbon atoms in 1.8g of ethanol (C2H5OH), we first need the molar mass of ethanol which is 46 g/mol. Using the given mass of ethanol, we can determine the number of moles of ethanol by using the formula:
number of moles = mass (g) / molar mass (g/mol).
For ethanol, this is:
number of moles = 1.8 g / 46 g/mol = 0.03913 moles of ethanol.
Since ethanol has two carbon atoms per molecule, we multiply the moles of ethanol by two to get the moles of carbon atoms:
moles of carbon = 0.03913 moles of ethanol × 2 = 0.07826 moles of carbon atoms.
Therefore, there are 0.07826 moles of carbon atoms in 1.8g of ethanol.