The number of atoms in a sample can be determined by using Avogadro's number, which states that there are 6.022 × 10^23 atoms in one mole of a substance.
To determine which sample contains the most atoms, we need to compare the number of moles of each substance.
To calculate the number of moles, we can use the formula:
moles = mass (in grams) / molar mass
The molar mass is the mass of one mole of a substance, and it can be found on the periodic table. The molar mass of copper is approximately 63.55 g/mol, carbon is approximately 12.01 g/mol, and uranium is approximately 238.03 g/mol.
Let's calculate the number of moles for each substance:
For 1g of copper:
moles = 1g / 63.55 g/mol = 0.0157 moles
For 1g of carbon:
moles = 1g / 12.01 g/mol = 0.0833 moles
For 10g of uranium:
moles = 10g / 238.03 g/mol = 0.042 moles
Now that we have the number of moles for each substance, we can calculate the number of atoms by multiplying the number of moles by Avogadro's number:
For copper:
atoms = 0.0157 moles * 6.022 × 10^23 atoms/mole = 9.46 × 10^21 atoms
For carbon:
atoms = 0.0833 moles * 6.022 × 10^23 atoms/mole = 5.02 × 10^22 atoms
For uranium:
atoms = 0.042 moles * 6.022 × 10^23 atoms/mole = 2.53 × 10^22 atoms
Therefore, the sample that contains the most atoms is 1g of carbon, which has approximately 5.02 × 10^22 atoms.
I hope this clarifies your question. If you have further questions or concerns, please feel free to ask. :)