To determine the number of atoms in a given amount of matter, we need to use Avogadro's number, which is approximately 6.022 × 10^23 atoms/mol. This number represents the number of atoms or molecules in one mole of a substance.
To calculate the number of atoms in a specific mass, such as 2 kilograms, we need to follow these steps:
Determine the molar mass of the substance. This is the mass of one mole of the substance in grams.
Convert the given mass into grams.
Use the molar mass to calculate the number of moles.
Finally, multiply the number of moles by Avogadro's number to obtain the number of atoms.
Since you mentioned "matter" without specifying a particular substance, I'll use the molar mass of carbon (12.01 g/mol) as a representative value.
The molar mass of carbon is 12.01 g/mol.
Convert 2 kilograms to grams: 2 kg = 2000 g.
Calculate the number of moles: 2000 g / 12.01 g/mol ≈ 166.45 mol.
Multiply the number of moles by Avogadro's number: 166.45 mol × 6.022 × 10^23 atoms/mol ≈ 1.001 × 10^26 atoms.
Therefore, there are approximately 1.001 × 10^26 atoms in 2 kilograms of matter, assuming the molar mass of carbon as a representative value. Keep in mind that this value will vary depending on the specific substance you are referring to, as different elements and compounds have different molar masses.