a typical atom has a diameter of about 1.0 × 10–10 m. (a) what is this in inches? (b) approximately how many atoms are along a 1.0-cm line, assuming they just touch?
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Since there are 0.0254 meters in one inch there are 39.37 inches in one meter. Simply move the decimal point in 39.37 to the left nine times get the number of inches in ten nanometers (1.0*10^-10):
3.937 x 10⁻⁹ inches. This is approximately 4 one-billionths of an inch.
Divide 24 cm by the atomic diameter to get the number of atoms.
24/ (1.0 x 10⁻¹⁰) = 24 x 10¹⁰ = 2.4 x 10¹¹
240 billion atoms is the answer.
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