Chapter 13, Problem 20PE

(a) The density of water at

$0°\text{C}$ is very nearly $\text{1}000\text{ kg}/{\text{m}}^{\text{3}}$ (it is actually $\text{999}.\text{84 kg}/{\text{m}}^{\text{3}}$ ), whereas the density of ice at $0°\text{C}$ is $\text{917 kg}/{\text{m}}^{\text{3}}$. Calculate the pressure necessary to keep ice from expanding when it freezes, neglecting the effect such a large pressure would have on the freezing temperature. (This problem gives you only an indication of how large the forces associated with freezing water might be.) (b) What are the implications of this result for biological cells that are frozen?