Mols of water

According to USGS, there is 332,500,000 cubic miles of water on, in and above the earth. This is equivalent to \(1.386\times10^{24} \,\mathrm{g}\). Dividing by the atomic mass of water (\(18.015 \,\mathrm{g}/\mathrm{mol}\)) gives \(7.693\times 10^{22} \,\mathrm{mol}\). This is suspiciously close to avogadros number, \(6.022141\times 10^{23} \,/\mathrm{mol}\). In fact, dividing by it results in \(0.127 \,\mathrm{mol}\) of mols. That’s about an eighth of a mol . . . of mols. There is almost a mol squared of water on the earth.