Question

What is the diameter of a spherical tungsten cluster (atomic radius Ra = 0.148 nm) that contains 106 atoms? With 0.250 nm radius?

Answer 1

diameter is 2.36 nm

Step-by-step explanation:

given data

atomic radius Ra = 0.148 nm

no of atoms = 106

radius r = 0.250 nm

to find out

diameter

solution

we know that diameter = 2 R ..........1

so we find R first

we apply equation here

volume of cluster = 106 × atom volume

put here volume

4/3 ×π×R³ = 106 × 4/3 ×π×r³

R³ = 106 × (0.250)³

R = 1.183

so from equation 1

diameter = 2 ( 1.183)

diameter = 2.36 nm