Answer :

You are given a cube of lead that is 1.000 cm on each side and the density of lead is 11.35 g/[tex]cm^{3}[/tex]  then atoms of lead are 0.329 in the sample .

Calculation ,

density = 11.35 g/[tex]cm^{3}[/tex] ( given )

volume of cube = [tex]a^{3}[/tex] ( where a is the side of the cube )

side of cube = 1 cm

So volume of cube = 1 [tex]cm^{3}[/tex]

formula used : density = mass / volume

mass = density × volume = 11.35 g/[tex]cm^{3}[/tex]  ×  1 [tex]cm^{3}[/tex]  = 11.35 g/[tex]cm^{3}[/tex]

number of mole of lead = mass/molar mass = 11.35 g/[tex]cm^{3}[/tex]/207.2 = 0.054 mol

The one mole of lead contain 6.022 ×[tex]10^{23}[/tex] atom

0.054 mole of lead contain 6.022 × [tex]10^{23}[/tex]  × 0.054 atom

0.054 mole of lead contain 0.329 atoms .

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