How many atoms of carbon are present in
49 g of a compound that is 54
.
1% carbon, by
weight?
To determine the number of atoms of carbon in a compound, we need to follow these steps:
Step 1: Find the molar mass of carbon (C)
The molar mass of carbon is the mass of one mole of carbon atoms. It can be found on the periodic table and is approximately 12.01 g/mol.
Step 2: Calculate the number of moles of carbon in the compound.
To calculate the number of moles, we use the formula:
Number of moles = Mass of compound / Molar mass
In this case, the mass of the compound is 49 g, and the percentage of carbon is 54.1%. Therefore, the mass of carbon in the compound is:
Mass of carbon = (Percentage of carbon / 100) x Mass of compound
Mass of carbon = (54.1 / 100) x 49 g
Step 3: Calculate the number of atoms of carbon.
To calculate the number of atoms, we use Avogadro's number, which is approximately 6.022 x 10^23 atoms/mol.
Number of atoms = Number of moles x Avogadro's number
Number of atoms = (Number of moles of carbon) x (Avogadro's number)
Now let's do the calculations:
Step 1: Molar mass of carbon (C) = 12.01 g/mol
Step 2: Mass of carbon in the compound = (54.1 / 100) x 49 g = 26.509 g
Number of moles of carbon = (Mass of carbon) / (Molar mass of carbon)
Number of moles of carbon = 26.509 g / 12.01 g/mol = 2.208 mol
Step 3: Number of atoms of carbon = (Number of moles of carbon) x (Avogadro's number)
Number of atoms of carbon = 2.208 mol x 6.022 x 10^23 atoms/mol
Therefore, there are approximately 1.328 x 10^24 atoms of carbon in 49 g of the compound.