Q36 of 69 Page 65

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.


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