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Question: Calculate the volume of an atom of diameter 0.000000001metres?

 Jul 27, 2017
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Calculate the volume of an atom of diameter 0.000000001metres?

 

\(\text{Let diameter } d = 0.000000001\ m = 1\cdot 10^{-9}\ m = 10^{-9}\ m \)

 

\(\begin{array}{|rcll|} \hline V_{\text{Atom}} &=& \frac16\pi d^3 \quad & | \quad d = 10^{-9}\ m \\ &=& \frac16\pi \cdot (10^{-9}\ m)^3 \\ &=& \frac16\pi \cdot 10^{-9\cdot 3}\ m^3 \\ &=& 0.5235987756 \cdot 10^{-27}\ m^3 \\ &=& 5.235987756 \cdot 10^{-1} \cdot 10^{-27}\ m^3 \\\\ \mathbf{ V_{\text{Atom}} } & \mathbf{=} & \mathbf{ 5.235987756 \cdot 10^{-28}\ m^3 } \\ \hline \end{array} \)

 

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 Jul 27, 2017

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