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5 votes
Note the average atomic mass of copper on the nano-balance. Add atoms to the

larger balance until it registers the same number in g) as the reading on the nano-balance
(in u). Use the Exponent slider to help get the correct amount. Stop adding atoms when the
readings on both balances matchi exactly to the nearest 0.001 y).
How many atoms did you need to add?

User Busches
by
7.3k points

2 Answers

7 votes

Final answer:

To find the number of copper atoms in 5.00 g of copper wire, divide the mass by the atomic mass of copper to get moles, then multiply by Avogadro's number to convert to atoms, resulting in approximately 4.74 × 1022 atoms.

Step-by-step explanation:

To determine how many copper atoms are in 5.00 g of copper wire, you can use the molar mass of copper and Avogadro's number. Given that the atomic mass of copper is 63.54 g/mol, first, you calculate the number of moles of copper in 5.00 g. Next, you use Avogadro's number (6.022 × 1023 atoms/mol) to convert moles to the number of atoms.

Calculation:
5.00 g Cu ÷ 63.54 g/mol = 0.0787 mol Cu
0.0787 mol Cu × 6.022 × 1023 atoms/mol = 4.74 × 1022 Cu atoms
Therefore, there are approximately 4.74 × 1022 copper atoms in 5.00 g of copper wire.

User Giuseppe Angora
by
6.9k points
6 votes

One atom of copper has a mass of 1.08
* 1
0^(-22) g .

One gram of copper contains 9.47
* 1
0^(21) atoms.

Explanation:

  • Copper's molar mass expresses the mass of 1 mole of copper atoms. One mole of any substance contains exactly 6.022
    * 1
    0^(23) atoms or molecules of that substance - this is known as Avogadro's number.

In your case, 1 mole of copper will contain 6.022
* 1
0^(23) atoms of copper.

  • Copper haa a molar mass of 63.456 g. The mass of an individual copper atom is calculated by dividing the mass by copper atoms of 1 mole.

= 1 Cu
* (63.456 g / 6.022
* 1
0^(23))

= 1.08
* 1
0^(-22) g

  • To get how many copper atoms are in one gram of copper, you can write = 1 g copper
    * ( 6.022
    * 1
    0^(23) atoms of copper / 63.546 g )

= 9.47
* 1
0^(21) atoms.

User AsThoughtWill
by
7.2k points