How many copper atoms are in a pure copper statue with a mass of 139kg{\rm kg}
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To determine the number of copper atoms in a pure copper statue, we need to use the concept of Avogadro's number and the molar mass of copper.
1. Find the molar mass of copper (Cu):
The molar mass of copper can be found on the periodic table, which is approximately 63.55 g/mol.
2. Convert the mass of the copper statue to grams:
139 kg = 139,000 g (since 1 kg = 1000 g)
3. Calculate the number of moles of copper:
Moles = Mass (g) / Molar mass (g/mol)
Moles = 139,000 g / 63.55 g/mol
4. Use Avogadro's number to calculate the number of copper atoms:
Number of atoms = Moles x Avogadro's number
Avogadro's number = 6.022 x 10^23 atoms/mol
Number of atoms = Moles x 6.022 x 10^23
Now let's calculate:
Molar mass of copper = 63.55 g/mol
Mass of copper statue = 139,000 g
Moles of copper = 139,000 g / 63.55 g/mol
≈ 2187.5 mol
Number of copper atoms = 2187.5 mol x 6.022 x 10^23 atoms/mol
Therefore, there are approximately 1.317 x 10^27 copper atoms in a pure copper statue with a mass of 139 kg.
To find the number of copper atoms in a pure copper statue, we need to use the concept of moles and Avogadro's number.
1. Identify the atomic mass of copper: The atomic mass of copper (Cu) is approximately 63.55 grams per mole (g/mol).
2. Convert the mass of the copper statue to grams: To convert the mass of the statue from kilograms to grams, you need to multiply by 1000. So, 139 kg ≈ 139,000 grams.
3. Calculate the number of moles: Divide the mass of the statue (in grams) by the atomic mass of copper to get the number of moles. In this case, 139,000 g / 63.55 g/mol ≈ 2186.38 mol.
4. Apply Avogadro's number: Avogadro's number is approximately 6.022 x 10^23 particles per mole. Hence, multiply the number of moles by Avogadro's number to find the number of copper atoms. In this case, 2186.38 mol × (6.022 x 10^23 atoms/mol) ≈ 1.316 x 10^27 copper atoms.
Therefore, there are approximately 1.316 x 10^27 copper atoms in a pure copper statue with a mass of 139 kg.
mols Cu = 139,000/atomic mass Cu = ?
Then there are 6.02E23 atoms in 1 mol.