Chemistry: The radius of an atom of gold (au) is about 1.35 å. how many gold atoms would have to be lined up to span 9.5 mm ?

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The radius of an atom of gold (au) is about 1.35

kaelycaetano66

02.01.2022

Answer : The number of gold atoms will be, $3.52\times 10^7$

Explanation :

First we have to determine the diameter of an atom of gold.

$Diameter=2\times Radius$

Given :

Radius of an atom of gold = $1.35\AA$

$Diameter=2\times 1.35\AA=2.7\AA$

Conversion used : $(1\AA=10^{-7}mm)$

$Diameter=2.7\AA=2.7\times 10^{-7}mm$

Now we have to calculate the number of gold atoms.

$\text{Number of gold atoms}=\frac{\text{Span length}}{\text{Diameter of an atom of gold}}$

$\text{Number of gold atoms}=\frac{9.5mm}{2.7\times 10^{-7}mm}=3.52\times 10^7$

Therefore, the number of gold atoms will be $3.52\times 10^7$

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