Question

If 5.76x10¹³ neon atoms (spherical) were laid in a line, each touching the next, the line would measure 2.54 miles. What is the diameter of a neon atom in nm?

Answer 1

The diameter of a neon atom is 0.071 nm.

Step-by-step explanation:

To find the diameter of a neon atom, we need to divide the length of the line formed by the neon atoms by the number of neon atoms in the line. The length of the line is given as 2.54 miles, which is equal to 4.08 kilometers. To convert this to meters, we multiply by 1000 to get 4,080 meters. The number of neon atoms is given as 5.76x10^13. Dividing the length of the line by the number of neon atoms gives us the diameter of each neon atom:

Diameter = Total Length / Number of Atoms = 4,080 meters / 5.76x10^13 atoms

Diameter = 7.08x10^-11 meters = 0.071 nm