To gain a better feeling for atomic dimensions, assume that the page on which
this question is printed is made entirely of the polysaccharide cellulose,
whose molecules are described by the formula \(\left(\mathrm{C}_{n}
\mathrm{H}_{2 n} \mathrm{O}_{n}\right),\) where \(n\) can be a quite large number
and is variable from one molecule to another. The atomic weights of carbon,
hydrogen, and oxygen are \(12,1,\) and \(16,\) respectively, and this page weighs
\(5 \mathrm{g}\)
A. How many carbon atoms are there in this page?
B. In cellulose, how many carbon atoms would be stacked on top of each other
to span the thickness of this page (the size of the page is \(21.2 \mathrm{cm}
\times 27.6 \mathrm{cm},\) and it is \(0.07 \mathrm{mm}\) thick)?
C. Now consider the problem from a different angle. Assume that the page is
composed only of carbon atoms. A carbon atom has a diameter of \(2 \times
10^{-10} \mathrm{m}(0.2 \mathrm{nm}) ;\) how many carbon atoms of \(0.2
\mathrm{nm}\) diameter would it take to span the thickness of the page?
D. Compare your answers from parts \(\mathrm{B}\) and \(\mathrm{C}\) and explain
any differences.