Question

the radius of a palladium atom is 137 pm. how many palladium atoms would have to be laid side by side to span a distance of 4.25 mm?

Answer 1

4.25mm / 137pm = 31 021 897.8

Answer 2

Answer:

$1.551\times 10^7$ atoms of palladium are to be laid side by side to span a distance of  4.25 mm.

Explanation:

The radius of the palladium atom, r = 137 pm

Diameter of the palladium atom = 2r =  137 pm = 274 pm

Let the number of palladium atoms laid side by side be x

Length of the chain = 4.25 mm = $4.25\times 10^9 pm$

$1 mm = 10^9 pm$

$x\times 274 pm =4.25\times 10^9 pm$

$x=\frac{4.25\times 10^9 pm}{274 pm}=1.551\times 10^7$

$1.551\times 10^7$ atoms of palladium are to be laid side by side to span a distance of  4.25 mm.