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A crystallographer measures the horizontal spacing between molecules in a crystal. The spacing is 15.93nm. What is the total width of a crystal in millimeters 105 molecules across? Write your answer as a decimal.

Respuesta :

0.00167265 mm

Explanation:

Given the spacing between the molecules in the crystal is 15.93 nm.

1 nm = [tex]10^{-9}[/tex] m

so 15.93 nm = 15.93 * [tex]10^{-9}[/tex] = 1.593 * [tex]10^{-8}[/tex] m

Spacing between 2 molecules is  1.593 * [tex]10^{-8}[/tex] m

So total width of 105 molecules crystal is 1.593 * [tex]10^{-8}[/tex] *105 = 167.265 * [tex]10^{-8}[/tex] m

We know that

1 m = 1000 = [tex]10^{3}[/tex] mm

So total width of 105 molecules crystal in millimeters is 167.265 * [tex]10^{-8}[/tex]  *[tex]10^{3}[/tex]

 = 167.265 * [tex]10^{-5}[/tex] = 1.67265 * [tex]10^{-3}[/tex] mm = 0.00167265 mm

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