The diameter of a hydrogen atom is 212pm. Find the length in kilometers of a row of 6.02×1023 hydrogen atoms.

Respuesta :

Diameter of a single hydrogen atom = 212 pm

Calculating the length of a row of [tex]6.02*10^{23}[/tex] Hydrogen atoms:

[tex]6.02*10^{23}[/tex] Hydrogen atoms * [tex]\frac{212pm}{1 H atom}[/tex]

= [tex]1.276 * 10^{26} pm[/tex]

Converting the length from pm to km:

The conversion factor for converting pm to m is [tex]1 m = 10^{12}pm[/tex]

The conversion factor from m to km is [tex]1 km = 10^{3}m[/tex]

[tex]1.276 * 10^{26} pm[/tex] *[tex]\frac{1 m}{10^{12}pm }[/tex]*[tex]\frac{1 km}{1000 m}[/tex] = [tex]1.276 * 10^{11} km[/tex]

Therefore, [tex]1.276 * 10^{11} km[/tex] is the distance in kilometers when [tex]6.02*10^{23}[/tex] Hydrogen atoms are placed in a row.

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