If the diameter of a helium atom is about 0.064 nm, how many helium atoms lined up side to side would span the diameter of a human hair, which is about 0.1 mm?



Answer :

The amount of helium atoms lined up side to side that  would span the diameter of a human hair is: 1.5625*10^6  atoms

To solve this problem the we have to do the conversion of units with the given information.

Information about the problem:

  • d(helium atom)= 0.064 nm
  • d(human hair)= 0.1 mm
  • amount of helium atoms lined up side to side = ?
  • 1 mm = 1*10^6 nm

By converting the units of the helium atom's diameter from nm to mm, we have:

d(helium atom)= 0.064 nm * 1 m/1*10^6 mm

d(helium atom)=  6.4*10^-8 mm

To know how many helium atoms lined up side to side would span the diameter of a human hair, we have to do a division as a following:

amount of helium atoms lined up side to side= d(human hair)/d(helium atom)

amount of helium atoms lined up side to side= 0.1 mm/6.4*10^-8 mm

amount of helium atoms lined up side to side= 0.1 mm/6.4*10^-8 mm

amount of helium atoms lined up side to side= 1.5625*10^6

What is unit conversion?

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

Learn more about unit conversion at: brainly.com/question/141163

#SPJ4

View image id1001265