Chapter 2, Problem 92FP

German chemist Fritz Haber proposed paying off the reparations imposed against Germany after World War I by extracting gold from seawater.Given that (1) the amount of the reparations was $28.8 billion dollars, (2) the value of gold at the time was about $21.25 per troy ounce $\left(1\text{ troy ounce }=31.103g\right)$ , end (3) gold occurs in seawater to the extent of $467\times {10}^{17}$ atoms per ton of seawater $\left(\text{1 ton = 2000 lb}\right)$ , how many cubic kilometers of seawater would have had to be processed to obtain the required amount of gold? Assume that the density of seawater is 1.03 g/cm². (Haber's scheme proved to be commercially infeasible, end the reparations were never fully paid.)