Some years ago a unique proposal was made to raise the Titanic. The plan involved placing pontoons within the ship using a surface-controlled submarine-type vessel. The pontoons would contain cathodes and would be filled with hydrogen gas formed by the electrolysis of water. It has been estimated that it would require about 7 x 108 mol of H2 to provide the buoyancy to lift the ship (J. Chem. Educ., Vol. 50, 1973, 61). Assume that pH of the seawater is 7 and temperature of the seawater is 25oC.
What is the minimum cost of the electrical energy required to generate the necessary H2 if the electricity costs 83 cents per kilowatt-hour to generate at the site?