Chapter 13 - Problems - Page 498: 41

There are $10^{18}$ silicon atoms in a grain of sand.

Work Step by Step

There is one silicon atom in each molecule of $SiO_2$. We can divide the volume of the grain of sand by the volume of a $SiO_2$ molecule to find the number of molecules in the grain of sand: $\frac{\frac{4}{3}\pi~(0.25\times 10^{-3}~m)^3}{\frac{4}{3}\pi~(0.25\times 10^{-9}~m)^3} = 10^{18}$ There are $10^{18}$ silicon atoms in a grain of sand.

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