2 ×108 atoms of carbon are arranged side by side. Calculate the radius of carbon atom if the length of this arrangement is 2.4 cm.
Given:
Number of carbon atoms, n = 2 ×108
Length of the arrangement, l = 2.4 cm
Number of carbon atoms which can be place along the line is given by n = [l] / [diameter, d]
D= [l] / [n]
D = [2.4× 10-2] / [2 ×108]
D = 1.2× 10-10 m
Therefore radius = [1.2× 10-10] / 2
= 0.6× 10-10 m
Therefore, the radius of carbon atom is 0.6 Å.