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if a mole of marbles cover Beijing, how deep will the marbles be?

Guest Sep 5, 2014

Best Answer 

 #1
avatar+26971 
+8

Area of Beijing: A ≈ 16400km2

 

Take standard marble diameter: d = 5/8"

 

Number of marbles of 1 marble depth required to cover Beijing: N ≈ A/d2 ≈ 6.5*1013

 

One mole of marbles = Avogadro's number worth of marbles; Av ≈ 6*1023

 

Depth of Avogadro's number of marbles on Beijing ≈ d*Av/N ≈ 1.5*105 km  

 

They would reach about half way to the moon!

Alan  Sep 5, 2014
 #1
avatar+26971 
+8
Best Answer

Area of Beijing: A ≈ 16400km2

 

Take standard marble diameter: d = 5/8"

 

Number of marbles of 1 marble depth required to cover Beijing: N ≈ A/d2 ≈ 6.5*1013

 

One mole of marbles = Avogadro's number worth of marbles; Av ≈ 6*1023

 

Depth of Avogadro's number of marbles on Beijing ≈ d*Av/N ≈ 1.5*105 km  

 

They would reach about half way to the moon!

Alan  Sep 5, 2014

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