The radius of a copper (Cu) atom is roughly 1.3 x 10^-10 m. How many times can you divide evenly a 10-cm-long piece of copper wire until it is reduced to two separate copper atoms? (Assume there are appropriate tools for this procedure and that copper atoms are lined up in a straight line, in contact with each other. Round off your answer to an integer.)

Respuesta :

Answer:

We can divide the 10 cm long wire 384,615,383 times.

Explanation:

Length of the copper wire ,L= 10 cm

1 m = 100 cm

Radius of the copper atom = [tex]1.3\times 10{^-10} m=1.3\times 10^{-8} cm[/tex]

Diameter of the copper atom,d =2 × r

[tex]2\times 1.3\times 10^{-8} m=2.6\times 10^{-8} m[/tex]

Number of carbon atoms in the wire be n

[tex]n\times d=L[/tex]

[tex]n\times 2.6\times 10^{-8} m=10 cm[/tex]

[tex]n=384,615,384.6[/tex] atoms

Two copper atoms are connected by link, then n atoms will be:

Number of links in copper wire = (n - 1)

[tex]=(384,615,384.6-1 )=384,615,383.6\approx 384,615,383[/tex]

We can divide the 10 cm long wire 384,615,383 times.