Calculate the number of atoms contained in a cylinder 1 um in diameter by 1 um deep of magnesium. round off your answer to eleven significant figures.

number of atom = 33816747099 atoms

Explanation:

given data

diameter = 1 μm

height = 1 μm

to find out

number of atoms

solution

we know here id diameter is 1μm then  radius r = 0.5 μm

so volume will be

volume = π×r²×h    

volume = π×0.5²×1 ×  m³

volume = 7.853981634 × m³

and

we know density of magnesium is = 1.738 g/cm³ = 1738 × 10³ g/m³

so mass will be = volume × density

mass = 7.853981634 × ×  1738 × 10³

mass = 1.365022008 × g

so

number of moles =

number of moles =

number of moles = 5.614601876 × moles

we know 1 mole = 6.023 × atoms

so

number of atom will be = 5.614601876 ×  × 6.023 ×

number of atom = 33816747099 atoms

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