Question

A penny has a thickness of approximately 1.0 mm. If you stacked Avogadro's number of pennies one on top of the other on Earth's surface, how far would the stack extend (in km)?

Answer 1

Answer:

The height of the stack will be $6.022\times 10^{17}$ km.

Explanation:

Thickness of the single penny ,t= 1.0 mm

Avogadro number = $N_A=6.022\times 10^{23}$

If we stack Avogadro numbers of pennies one top of the other on Earth surface, the height of the pennies can be said to be h.

$t\time N_A=h$

$1.0 mm\times 6.022\times 10^{23} =6.022\times 10^{23} mm$

$1 m = 10^{-6} km$

$h=6.022\times 10^{23} mm=6.022\times 10^{23} \times 10^{-6} km$

$h=6.022\times 10^{17} km$

The height of the stack will be $6.022\times 10^{17}$ km.