We want to find how much charge is on the
electrons in a nickel coin. Follow this method.
A nickel coin has a mass of about 4.9 g.
Find the number of atoms in a nickel coin.
Each mole (6.02 × 10
23
atoms) has a mass of
about 58.1 g.
Answer in units of atoms
Find the number of electrons in the coin. Each
nickel atom has 28 electrons/atom.
Answer in units of electrons
Find the magnitude of the charge of all these
electrons.
Answer in units of C
To find the charge of the electrons in a nickel coin, follow these steps:
1. Find the number of atoms in a nickel coin:
- The mass of a nickel coin is given as 4.9 g.
- Each mole of nickel contains 6.02 x 10^23 atoms.
- The molar mass of nickel is approximately 58.1 g/mol.
- Use the formula: Number of atoms = (Mass of coin / Molar mass of nickel) x Avogadro's number.
- Substitute the values into the formula: Number of atoms = (4.9 g / 58.1 g/mol) x 6.02 x 10^23 atoms/mol.
- Calculate the number of atoms.
2. Find the number of electrons in the coin:
- Each nickel atom contains 28 electrons.
- Multiply the number of atoms in the coin by the number of electrons per atom.
- The result will give you the total number of electrons in the nickel coin.
3. Find the magnitude of the charge of all these electrons:
- The charge of an electron is approximately 1.6 x 10^-19 C.
- Multiply the total number of electrons by the charge of an electron.
- The result will give you the magnitude of the charge of all the electrons.
Now let's calculate the answers:
1. Number of atoms:
- Number of atoms = (4.9 g / 58.1 g/mol) x 6.02 x 10^23 atoms/mol.
- Calculate the result.
2. Number of electrons:
- Number of electrons = Number of atoms x 28 electrons/atom.
- Calculate the result.
3. Magnitude of the charge:
- Magnitude of the charge = Number of electrons x Charge of an electron.
- Calculate the result.
Remember to include the units of atoms for the first answer, units of electrons for the second answer, and units of Coulombs (C) for the third answer.