How Many Atoms Are There In 10grams Of Carbon And How Many Molecules Are There In 10grams Of Calcium Carbonate
To determine the number of atoms in a given amount of substance, you need to use Avogadro's number, which is approximately 6.022 x 10^23. This number represents the number of particles (atoms, molecules, ions) in one mole of a substance.
1. Carbon:
The molar mass of carbon is approximately 12.01 g/mol. Since there is one carbon atom in one molecule of carbon, the molar mass also represents the mass of one mole of carbon atoms.
To find the number of atoms in 10 grams of carbon:
10 g / (12.01 g/mol) = 0.833 mol
Now, we can use Avogadro's number to find the number of atoms:
0.833 mol x (6.022 x 10^23 atoms/mol) = 5.013 x 10^23 atoms
Therefore, there are approximately 5.013 x 10^23 atoms in 10 grams of carbon.
2. Calcium carbonate:
The molar mass of calcium carbonate (CaCO3) is approximately 100.09 g/mol. Since there is one calcium carbonate molecule in one formula unit, the molar mass also represents the mass of one mole of calcium carbonate molecules.
To find the number of molecules in 10 grams of calcium carbonate:
10 g / (100.09 g/mol) = 0.1 mol
Now, we can use Avogadro's number to find the number of molecules:
0.1 mol x (6.022 x 10^23 molecules/mol) = 6.022 x 10^22 molecules
Therefore, there are approximately 6.022 x 10^22 molecules in 10 grams of calcium carbonate.