How many copper atoms are in a pure copper statue with a mass of 200 kg ?
To find the number of copper atoms in a pure copper statue, we can use the concept of molar mass, Avogadro's number, and the mass of the statue.
1. Find the molar mass of copper:
The molar mass of copper (Cu) is approximately 63.546 grams/mol.
2. Convert the mass of the statue to grams:
Convert the mass of the statue from kilograms to grams:
200 kg = 200,000 grams.
3. Determine the moles of copper:
To do this, divide the mass of the statue in grams by the molar mass of copper:
Moles of copper = mass of copper / molar mass of copper
Moles of copper = 200,000 g / 63.546 g/mol.
4. Use Avogadro's number to find the number of atoms:
Avogadro's number is equal to 6.022 x 10^23 atoms/mol.
Multiply the moles of copper by Avogadro's number:
Number of atoms = Moles of copper x Avogadro's number.
Now, let's calculate the number of copper atoms:
Molar mass of copper (Cu) = 63.546 g/mol
Mass of the statue = 200,000 g
Moles of copper = 200,000 g / 63.546 g/mol
Moles of copper = 3,147.86 mol
Number of copper atoms = Moles of copper x Avogadro's number
Number of copper atoms = 3,147.86 mol x 6.022 x 10^23 atoms/mol
Therefore, there are approximately 1.892 x 10^27 copper atoms in a pure copper statue with a mass of 200 kg.