adamconner
  • adamconner
Rutherfords experiment with gold estimated the radius of a gold atom to be approximately 1x10^-9cm. Suppose the radius of the nucleus is the same as a basketball. Would the volume of the atom be bigger or smaller than that of a typical domed athletic stadium. Show a little math to support your answer.
Chemistry
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SOLVED
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chestercat
  • chestercat
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aaronq
  • aaronq
what is the radius of a gold nucleus? whats the radius of a basketball? whats the radius of a stadium?
adamconner
  • adamconner
Well that all the queston tells me. But from google: Basketball radius is about 4.4 in. there is lots of stadiums all different sizes obviously and the gold nucleus radius is 7.3 x10^-15
aaronq
  • aaronq
7.3 x10^-15 are the units meters?

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adamconner
  • adamconner
yes in meters my bad
aaronq
  • aaronq
so just take their ratios nucleus/atom= 7.3 x10^-15 m/1x10^-11 m basketball/stadium=0.11 m/find this if the ratio of nucleus/atom is smaller than basketball/stadium, then the atom is bigger than the stadium, relative to the nucleus/basketball.
adamconner
  • adamconner
so i got this: nucleus/atom=7.3x10^-4 and the basketball/stadium= 8.59x10^-4
adamconner
  • adamconner
so now that means the nucleus/atom is smaller
aaronq
  • aaronq
yeah, but not by much, i would say they're almost equal.
adamconner
  • adamconner
alright thanks

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