Question

What is the volume of 3.00 × 10 20atoms in an aluminum block? The density of aluminum is 2.70 g/cm 3 .

Answer 1

`V=4.98x10^(-3)cm^3`

Step-by-step explanation:

Hello there!

In this case, according to the given atoms of aluminum, it is possible for us to calculate the mass via the Avogadro's number and its atomic mass of 27.0 g/mol:

`m_(Al)=3.00x10^(20)atoms Al*(1molAl)/(6.022x10^(23)atomsAl) *(27.0gAl)/(1mol)=0.0135gAl`

Noe, given the density of the Al, we can calculate the volume as shown below:

`d=m/V\\\\V=m/d\\\\V=0.0135g/(2.70g/cm^3)\\\\V=4.98x10^(-3)cm^3`

Best regards!